Approaches to Studying the Enacted Mathematics Curriculum. Research in Mathematics Education

ERIC Educational Resources Information Center

Heck, Dan, Ed.; Chval, Kathryn, Ed.; Weiss, Iris, Ed.; Ziebarth, Steven W., Ed.

2012-01-01

Curriculum materials are among the most pervasive and powerful influences on school mathematics. In many mathematics classes, student assignments, the questions the teacher asks, the ways students are grouped, the forms of assessment, and much more originate in curriculum materials. At the same time, teachers have considerable latitude in how they…

A Review of New Mathematics Curriculum Materials.

ERIC Educational Resources Information Center

Vanderlin, Carl J., Jr.

This manual outlines the nature of some of the major curriculum projects in mathematics and lists materials which are available from these projects. An introductory statement concerning the history and philosophy of each program is indicated. The curriculum projects reported on are: (1) Boston College Mathematics Institute, (2) Cambridge…

Workplace Mathematics. Modules 1 & 2. A Working Curriculum.

ERIC Educational Resources Information Center

Farrell, Edward J.

This curriculum for mathematics is designed as a teachable curriculum directed toward workplace needs. It is intended to be workplace specific and to move the learner toward a full 12th-grade level attainment. The two modules in this curriculum are further divided into modules dealing with specific topics. The first module, Basic Mathematics,…

Leadership in Mathematics Curriculum Development

ERIC Educational Resources Information Center

Alford, Kenneth Ray

2010-01-01

This paper discusses mathematics curriculum development throughout the past century and incorporates a discussion of appropriate leadership style needed to bring about effective change. School leaders must be cognizant of the commitment and competence of the faculty within their school for successful curriculum development to take place.…

Mathematical Modeling in the Undergraduate Curriculum

ERIC Educational Resources Information Center

Toews, Carl

2012-01-01

Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…

The Draft National Curriculum for Primary Mathematics

ERIC Educational Resources Information Center

Thompson, Ian

2012-01-01

Draft curriculum documents offer a glimpse of the future. They demand a response as all too often the devil is in the detail. What are the devils and maybe demons that await primary mathematics? This forensic consideration of the content of the draft curriculum for primary mathematics catalogues a lack of evidence to underpin proposals. Is the…

Applied Mathematics in the Undergraduate Curriculum.

ERIC Educational Resources Information Center

Committee on the Undergraduate Program in Mathematics, Berkeley, CA.

After considering the growth in the use of mathematics in the past 25 years, this report makes four major recommendations regarding the undergraduate curriculum: (1) The mathematics department should offer a course or two in applied mathematics which treat some realistic situations completely, including the steps of problem formulation, model…

General Mathematics; Part 1. Mathematics Curriculum Guide (Career Oriented).

ERIC Educational Resources Information Center

Nuschler, Alexandra; And Others

The curriculum guide for secondary level, career-oriented General Mathematics Part 1, correlates performance objectives in basic mathematics with career-oriented concepts and activities. The material is designed to lead the student in a systematic development that provides for continuous progress. The guide is in outline format, providing a…

Wyoming Mathematics Curriculum Guide, Grades 7-12.

ERIC Educational Resources Information Center

Wyoming State Dept. of Education, Cheyenne.

GRADES OR AGES: 7-12; SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The guide has an introduction and four chapters: 1) A Sample Mathematics Curriculum; 2) The Exceptional Student in Mathematics; 3) Mathematics Components for Comprehensive Occupational Education; 4) Reference Materials. The guide is printed and spiral bound…

Curriculum Change in Secondary School Mathematics

ERIC Educational Resources Information Center

Alspaugh, John W.; and others

1970-01-01

Discusses six major trends in mathematics curriculum development: lowering of grade placement, teaching methods from memorization to discovery, introduction and deletion of content, integration of plane and solid geometry, algebra, and trigonometry, emphasis upon needs and characteristics of student, and increasing rate of curriculum change.…

Knowledge of Curriculum Embedded Mathematics: Exploring a Critical Domain of Teaching

ERIC Educational Resources Information Center

Remillard, Janine; Kim, Ok-Kyeong

2017-01-01

This paper proposes a framework for identifying the mathematical knowledge teachers activate when using curriculum resources. We use the term "knowledge of curriculum embedded mathematics" (KCEM) to refer to the mathematics knowledge activated by teachers when reading and interpreting mathematical tasks, instructional designs, and…

A Guide to Curriculum Planning in Mathematics. Bulletin No. 6284.

ERIC Educational Resources Information Center

Chambers, Donald L.; And Others

This guide was written under the basic assumptions that the mathematics curriculum must continuously change and that mathematics is most effectively learned through a spiral approach. Further, it is assumed that the audience will be members of district mathematics curriculum committees. Instructional objectives have been organized to reveal the…

Considering Indigenous Knowledges and Mathematics Curriculum

ERIC Educational Resources Information Center

Sterenberg, Gladys

2013-01-01

Across Canada, significant program changes in school mathematics have been made that encourage teachers to consider Aboriginal perspectives. In this article, I investigate one Aboriginal teacher's approaches to integrating Indigenous knowledges and the mandated mathematics curriculum in a Blackfoot First Nation school. Using a framework that…

Data Analysis and Statistics across the Curriculum. Curriculum and Evaluation Standards for School Mathematics Addenda Series. Grades 9-12.

ERIC Educational Resources Information Center

Burrill, Gail; And Others

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" (the "Standards"), provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected…

Mathematical Modeling in the Secondary School Curriculum.

ERIC Educational Resources Information Center

Swetz, Frank, Ed.; Hartzler, J. S., Ed.

Over the past 10 years, national conferences and committees investigating the state of American mathematics education have advocated an increased emphasis on problem solving and mathematical modeling situations in the secondary school curriculum. However, little effort has been made to prepare secondary school teachers to use mathematical modeling…

Curriculum Reform in Turkey: A Case of Primary School Mathematics Curriculum

ERIC Educational Resources Information Center

Bulut, Mehmet

2007-01-01

The purpose of this study was to analyze the newly developed elementary school (grades 1 through 8) mathematics curriculum by considering 5th grade students' and classroom teachers' views. The analysis of the curriculum was realized in three dimensions; (1) Classroom management--classroom physical and emotional environments, teacher and student…

Mathematics and Science across the Curriculum.

ERIC Educational Resources Information Center

Thorson, Annette, Ed.

2002-01-01

This issue, intended for classroom teachers, provides a collection of essays organized around the theme of mathematics and science across the curriculum as well as a guide to instructional materials related to the theme. Topics addressed in the essays include experiencing mathematics through nature; connecting science, fiction, and real life;…

Curriculum Materials in High-School Mathematics. Bulletin, 1954, No. 9

ERIC Educational Resources Information Center

Brown, Kenneth E.

1954-01-01

The purpose of this study is to help persons who are faced with the task of improving or developing curriculum materials in mathematics and also those persons who frequently rethink the objectives for the teaching of mathematics. In this study 135 courses of study or curriculum guides in mathematics are analyzed and a comparison is made with a…

Secondary School Mathematics Curriculum Improvement Study.

ERIC Educational Resources Information Center

Secondary School Mathematics Curriculum Improvement Study, New York, NY.

This bulletin contains: (1) a summary and conclusions of a study of mathematics curricula in Europe and Japan, and (2) a description of beginning efforts to evaluate the Secondary School Mathematics Curriculum Improvement Study (SSMCIS) project. Some of the conclusions of the European and Japanese study are: (1) the study of Euclidean synthetic…

What Is Measured in Mathematics Tests? Construct Validity of Curriculum-Based Mathematics Measures.

ERIC Educational Resources Information Center

Thurber, Robin Schul; Shinn, Mark R.; Smolkowski, Keith

2002-01-01

Mathematics curriculum-based measurement (M-CBM) is one tool that has been developed for formative evaluation in mathematics. This study examines what constructs M-CBM actually measures in the context of a range of other mathematics measures. Results indicated that a two-factor model of mathematics where Computation and Applications were distinct…

Applying mathematical concepts with hands-on, food-based science curriculum

PubMed Central

Roseno, Ashley T.; Carraway-Stage, Virginia G.; Hoerdeman, Callan; Díaz, Sebastián R.; Eugene, Geist; Duffrin, Melani W.

2015-01-01

This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the impact of the FoodMASTER Intermediate curriculum on fourth-grade student’s mathematics knowledge. The curriculum is a part of the FoodMASTER Initiative, which is a compilation of programs utilizing food, a familiar and necessary part of everyday life, as a tool to teach mathematics and science. Students exposed to the curriculum completed a 20-item researcher-developed mathematics knowledge exam (Intervention n=288; Control n=194). Overall, the results showed a significant increase in mathematics knowledge from pre- to post-test. These findings suggest that students engaged in food-based science activities provided them with the context in which to apply mathematical concepts to an everyday experience. Therefore, the FoodMASTER approach was successful at improving students’ mathematics knowledge while building a foundation for becoming quantitatively literate adults. PMID:26494927

Applying mathematical concepts with hands-on, food-based science curriculum.

PubMed

Roseno, Ashley T; Carraway-Stage, Virginia G; Hoerdeman, Callan; Díaz, Sebastián R; Eugene, Geist; Duffrin, Melani W

2015-01-01

This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the impact of the FoodMASTER Intermediate curriculum on fourth-grade student's mathematics knowledge. The curriculum is a part of the FoodMASTER Initiative, which is a compilation of programs utilizing food, a familiar and necessary part of everyday life, as a tool to teach mathematics and science. Students exposed to the curriculum completed a 20-item researcher-developed mathematics knowledge exam (Intervention n=288; Control n=194). Overall, the results showed a significant increase in mathematics knowledge from pre- to post-test. These findings suggest that students engaged in food-based science activities provided them with the context in which to apply mathematical concepts to an everyday experience. Therefore, the FoodMASTER approach was successful at improving students' mathematics knowledge while building a foundation for becoming quantitatively literate adults.

Designing a Mathematics Curriculum

ERIC Educational Resources Information Center

Yee, Lee Peng

2010-01-01

A decade of PMRI saw the changes in the classroom in some of the primary schools in Indonesia. Based on observation, we can say that though the mathematics syllabus in Indonesia did not change, its curriculum has changed under the movement of PMRI. In this article, we put in writing some of the experience gained through the involvement in…

Transforming Ethnomathematical Ideas in Western Mathematics Curriculum Texts

ERIC Educational Resources Information Center

Dickenson-Jones, Amelia

2008-01-01

When ethnomathematical ideas, that is, the mathematical ideas of different cultural groups, are included in mathematics curriculum texts they can become part of the learning experience in various ways. Once included in western classroom mathematics texts, the ethnomathematical ideas become transformed. The transformations involve changes in form…

Task analysis in curriculum design: a hierarchically sequenced introductory mathematics curriculum1

PubMed Central

Resnick, Lauren B.; Wang, Margaret C.; Kaplan, Jerome

1973-01-01

A method of systematic task analysis is applied to the problem of designing a sequence of learning objectives that will provide an optimal match for the child's natural sequence of acquisition of mathematical skills and concepts. The authors begin by proposing an operational definition of the number concept in the form of a set of behaviors which, taken together, permit the inference that the child has an abstract concept of “number”. These are the “objectives” of the curriculum. Each behavior in the defining set is then subjected to an analysis that identifies hypothesized components of skilled performance and prerequisites for learning these components. On the basis of these analyses, specific sequences of learning objectives are proposed. The proposed sequences are hypothesized to be those that will best facilitate learning, by maximizing transfer from earlier to later objectives. Relevant literature on early learning and cognitive development is considered in conjunction with the analyses and the resulting sequences. The paper concludes with a discussion of the ways in which the curriculum can be implemented and studied in schools. Examples of data on individual children are presented, and the use of such data for improving the curriculum itself, as well as for examining the effects of other treatment variables, is considered. PMID:16795452

Massachusetts Adult Basic Education Curriculum Framework for Mathematics and Numeracy

ERIC Educational Resources Information Center

Massachusetts Department of Education, 2005

2005-01-01

Over the past number of years, several initiatives have set the stage for writing the Massachusetts ABE (Adult Basic Education) Curriculum Frameworks for Mathematics and Numeracy. This current version of the "Massachusetts ABE Mathematics Curriculum Frameworks" is a second revision of that first framework, but it is heavily influenced by…

SECONDARY SCHOOL MATHEMATICS CURRICULUM IMPROVEMENT STUDY. FINAL REPORT.

ERIC Educational Resources Information Center

FEHR, HOWARD F.

THIS SECONDARY SCHOOL MATHEMATICS CURRICULUM IMPROVEMENT STUDY GROUP (SSMCIS), COMPOSED OF BOTH AMERICAN AND EUROPEAN EDUCATORS, WAS GUIDED BY TWO MAIN OBJECTIVES--(1) TO CONSTRUCT AND EVALUATE A UNIFIED SECONDARY SCHOOL MATHEMATICS PROGRAM FOR GRADES 7-12 THAT WOULD TAKE THE CAPABLE STUDENT WELL INTO CURRENT COLLEGE MATHEMATICS, AND (2) DETERMINE…

Developing an Assessment Instrument to Measure Early Elementary Teachers' Mathematical Knowledge for Teaching

ERIC Educational Resources Information Center

Schoen, Robert C.; Bray, Wendy; Wolfe, Christopher; Tazaz, Amanda M.; Nielsen, Lynne

2017-01-01

This study reports on the development and field study of K-TEEM, a web-based assessment instrument designed to measure mathematical knowledge for teaching (MKT) at the early elementary level. The development process involved alignment with early elementary curriculum standards, expert review of items and scoring criteria, cognitive interviews with…

Curriculum Reform in Mathematics and the Target Oriented Curriculum.

ERIC Educational Resources Information Center

Fung, Chun Ip

1995-01-01

Highlights issues and ideas in the reform of school mathematics curricula with reference to Australia, the United Kingdom, and the United States. Interprets the ideas set out in documents related to the Target Oriented Curriculum (TOC) initiative in Hong Kong. Discusses factors that hinder the implementation of the TOC. (DSK)

Examining the Process of Developing a Research-Based Mathematics Curriculum and Its Policy Implications

ERIC Educational Resources Information Center

Superfine, Alison Castro; Kelso, Catherine Randall; Beal, Susan

2010-01-01

The implementation of "research-based" mathematics curricula is increasingly becoming a central element of mathematics education reform policies. Given the recent focus on grounding mathematics curriculum policies in research, it is important to understand precisely what it means for a curriculum to be research-based. Using the Curriculum Research…

Curriculum Guide for Baccalaureate Oriented Courses in Mathematics.

ERIC Educational Resources Information Center

Darnes, G. Robert, Ed.

A mathematics curriculum guide is presented for the purpose of offering statewide guidelines to colleges for determining the content of those courses which might be considered standard courses in the first two years of the college curriculum. Courses covered include: intermediate algebra, college algebra, trigonometry, analytic geometry,…

The Role of Reasoning in the Australian Curriculum: Mathematics

ERIC Educational Resources Information Center

McCluskey, Catherine; Mulligan, Joanne; Mitchelmore, Mike

2016-01-01

The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…

Analysing the implemented curriculum of mathematics in preschool education

NASA Astrophysics Data System (ADS)

Zacharos, Konstantinos; Koustourakis, Gerasimos; Papadimitriou, Konstantina

2014-06-01

The purpose of this paper is to contribute to development of research tools for observation and analysis of educational practices used by teachers in preschool classrooms. More specifically, we approached the implemented curriculum of mathematics in Greek preschool education. We analysed the recorded data from a week of teaching practices in eight classrooms of Greek public kindergartens, based on Bernstein's theoretical framework on pedagogic discourse. The results showed that the actual educational practices in the observed classrooms deviated from the objectives of the official new cross-thematic curriculum for teaching mathematics in Greek kindergarten in terms of the form of transmitted mathematical knowledge, the instructional rules and strategies that teachers adopted for teaching mathematics, and the teaching-interactive relationships between preschool teachers and students.

Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom Instruction. Studies in Mathematical Thinking and Learning Series

ERIC Educational Resources Information Center

Remillard, Janine T., Ed.; Herbel-Eisenmann, Beth A., Ed.; Lloyd, Gwendolyn M., Ed.

2011-01-01

This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…

Early mathematics development and later achievement: Further evidence

NASA Astrophysics Data System (ADS)

Aubrey, Carol; Godfrey, Ray; Dahl, Sarah

2006-05-01

There is a growing international recognition of the importance of the early years of schooling as well as an interest being shown in the relationship of early education to later achievement. This article focuses on a cohort of English pupils who have been tracked through primary school during the first five years of the new National Numeracy Strategy. It reports a limited longitudinal study of young children's early mathematical development, initially within three testing cycles: at the mid-point and towards the end of their reception year (at five years-of-age) and again at the mid-point of Year 1 (at six years-ofage). These cycles were located within the broader context of progress through to the end of Key Stage 1 (at seven years) and Key Stage 2 (at eleven years) on the basis of national standardised assessment tests (SATs). Results showed that children who bring into school early mathematical knowledge do appear to be advantaged in terms of their mathematical progress through primary school. Numerical attainment increases in importance across the primary years and practical problem solving remains an important element of this. This finding is significant given the current emphasis on numerical calculation in the English curriculum. It is concluded that without active intervention, it is likely that children with little mathematical knowledge at the beginning of formal schooling will remain low achievers throughout their primary years and, probably, beyond.

The Consequences of a Problem-Based Mathematics Curriculum

ERIC Educational Resources Information Center

Clarke, David; Breed, Margarita; Fraser, Sherry

2004-01-01

Implementation of a problem-based mathematics curriculum, the "Interactive Mathematics Program" (IMP), at three high schools in California has been associated with more than just differences in student achievement. The outcomes that distinguished students who participated in the IMP program from students who followed a conventional…

Developing an Assessment Instrument to Measure Early Elementary Teachers' Mathematical Knowledge for Teaching

ERIC Educational Resources Information Center

Schoen, Robert C.; Bray, Wendy; Wolfe, Christopher; Tazaz, Amanda M.; Nielsen, Lynne

2017-01-01

This study reports on the development and field study of K-TEEM, a web-based assessment instrument designed to measure mathematical knowledge for teaching (MKT) at the early elementary level. The development process involved alignment with early elementary curriculum standards, expert review of items and scoring criteria, cognitive interviews with…

Teaching a High-Level Contextualized Mathematics Curriculum to Adult Basic Learners

ERIC Educational Resources Information Center

Showalter, Daniel A.; Wollett, Chelsie; Reynolds, Sharon

2014-01-01

This paper reports on the implementation of a high level contextualized mathematics curriculum by 12 adult basic instructors in a midwestern state. The 10-week pilot curriculum embedded high level mathematics in contexts that were familiar to adult learners. Instructors' weekly online posts were coded, and the following themes emerged: (a)…

Rural High School Mathematics Teachers' Response to Mathematics Reform Curriculum Integration and Professional Development

ERIC Educational Resources Information Center

Cox, Teodora B.

2009-01-01

The purpose of this qualitative study was to examine rural high school mathematics teachers' responses to the initial implementation of Louisiana's "Comprehensive Curriculum" during their second year of involvement in a professional development program. The curriculum changes were the culmination of an alignment between standards,…

Investigating the incremental validity of cognitive variables in early mathematics screening.

PubMed

Clarke, Ben; Shanley, Lina; Kosty, Derek; Baker, Scott K; Cary, Mari Strand; Fien, Hank; Smolkowski, Keith

2018-03-26

The purpose of this study was to investigate the incremental validity of a set of domain general cognitive measures added to a traditional screening battery of early numeracy measures. The sample consisted of 458 kindergarten students of whom 285 were designated as severely at-risk for mathematics difficulty. Hierarchical multiple regression results indicated that Wechsler Abbreviated Scales of Intelligence (WASI) Matrix Reasoning and Vocabulary subtests, and Digit Span Forward and Backward measures explained a small, but unique portion of the variance in kindergarten students' mathematics performance on the Test of Early Mathematics Ability-Third Edition (TEMA-3) when controlling for Early Numeracy Curriculum Based Measurement (EN-CBM) screening measures (R² change = .01). Furthermore, the incremental validity of the domain general cognitive measures was relatively stronger for the severely at-risk sample. We discuss results from the study in light of instructional decision-making and note the findings do not justify adding domain general cognitive assessments to mathematics screening batteries. (PsycINFO Database Record (c) 2018 APA, all rights reserved).

Implementing Reform Curriculum: Voicing the Experiences of an ESL/Mathematics Teacher

ERIC Educational Resources Information Center

Celedon-Pattichis, Sylvia

2010-01-01

The purpose of this 18-month case study is to highlight the successes and challenges that an ESL/mathematics teacher encountered as she made a shift from traditional mathematics curriculum to a standards-based curriculum as part of a statewide systemic initiative. The study was conducted in an urban, public middle school in Central Texas that…

Playing with Maths: Implications for Early Childhood Mathematics Teaching from an Implementation Study in Melbourne, Australia

ERIC Educational Resources Information Center

Cohrssen, Caroline; Tayler, Collette; Cloney, Dan

2015-01-01

The Early Years Learning Framework for Australia governs early childhood education in the years before school in Australia. Since this framework is not a curriculum, early childhood educators report uncertainty regarding what mathematical concepts to teach and how to teach them. This implementation study, positioned within the broader E4Kids…

The Science behind Curriculum Development and Evaluation: Taking a Design Science Approach in the Production of a Tier 2 Mathematics Curriculum

ERIC Educational Resources Information Center

Doabler, Christian T.; Clarke, Ben; Fien, Hank; Baker, Scott K.; Kosty, Derek B.; Cary, Mari Strand

2015-01-01

The production of an effective mathematics curriculum begins with a scientific development, evaluation, and revision framework. The purpose of this study was to conduct an initial investigation of a recently developed Tier 2 mathematics curriculum designed to improve the outcomes of first grade students at risk for mathematics difficulties (MD).…

Secondary School Mathematics Curriculum Improvement Study Information Bulletin 7.

ERIC Educational Resources Information Center

Secondary School Mathematics Curriculum Improvement Study, New York, NY.

The background, objectives, and design of Secondary School Mathematics Curriculum Improvement Study (SSMCIS) are summarized. Details are given of the content of the text series, "Unified Modern Mathematics," in the areas of algebra, geometry, linear algebra, probability and statistics, analysis (calculus), logic, and computer…

Mathematical and Scientific Foundations for an Integrative Engineering Curriculum.

ERIC Educational Resources Information Center

Carr, Robin; And Others

1995-01-01

Describes the Mathematical and Scientific Foundations of Engineering curriculum which emphasizes the mathematical and scientific concepts common to all engineering fields. Scientists and engineers together devised topics and experiments that emphasize the relevance of theory to real-world applications. Presents material efficiently while building…

The effects of integrated mathematics/science curriculum and instruction on mathematics achievement and student attitudes in grade six

NASA Astrophysics Data System (ADS)

Hill, Mary Denise

The purpose of this study was to determine whether integrating mathematics and science curriculum and teaching practices significantly improves achievement in mathematics and attitudes towards mathematics among sixth grade students in South Texas. The study was conducted during the 2001--2002 school year. A causal-comparative ex post facto research design was used to explore the effects of integrated mathematics and science classrooms compared to classrooms of traditional, isolated mathematics and science teaching practices on student achievement and student attitudes. Achievement was based on the Spring 2002 Mathematics portion of the standardized Texas Assessment of Academic Skills (TAAS) Texas Learning Index (TLI) scores and individual student's mathematics Grade Point Average (GPA). Measurement of student attitudes was based on the results of the Integrated Mathematics Attitudinal Survey (IMAS), created by the researcher for this study. The sample population included 349 Grade 6 mathematics students attending one middle school involved in a pilot program utilizing integrated mathematics/science curriculum and teaching practices in a South Texas urban school district. The research involved 337 of the 349 sixth grade students to study the effects of mathematics/science curriculum and teaching practices on achievement and 207 of the 349 sixth grade students to study the effects of mathematics/science curriculum on attitudes concerning mathematics. The data were analyzed using chi square analyses, independent samples t-tests, and the analysis of variance (ANOVA). Statistical significance was determined at the .05 level of significance. Significant relationships were found when analyzing the proficiency of mathematics skills and individual growth of mathematics achievement. Chi square analyses indicated that the students in the integrated mathematics/science classrooms were more likely to exhibit individual growth and proficiency of mathematics skills based on the

Big Math for Little Kids: The Effectiveness of a Preschool and Kindergarten Mathematics Curriculum

ERIC Educational Resources Information Center

Lewis Presser, Ashley; Clements, Margaret; Ginsburg, Herbert; Ertle, Barbrina

2015-01-01

Research Findings: Big Math for Little Kids (BMLK) is a mathematics curriculum developed for use with 4- and 5-year-old children. To investigate the BMLK curriculum's effect on children's mathematics knowledge, this cluster-randomized controlled trial randomly assigned child care centers to provide mathematics instruction to children, using either…

High School Mathematics: State-Level Curriculum Standards and Graduation Requirements

ERIC Educational Resources Information Center

Reys, Barbara J.; Dingman, Shannon; Nevels, Nevels; Teuscher, Dawn

2007-01-01

In a continuing effort to improve student-learning opportunities in mathematics, state departments of education have focused on articulating standards or learning goals at all levels, including high school mathematics. A review of K-8 mathematics curriculum standards (many of which have been published since 2002) compiled by staff from the Center…

A Multiple Case Study of College-Contextualized Mathematics Curriculum

ERIC Educational Resources Information Center

Valenzuela, Hector

2018-01-01

Contextualization is a method used for mathematics curriculum design within lesson plans and as a pedagogical practice in face-to-face classes. Many researchers are studying the effects of using contextualization in the teaching and the learning process for mathematics (Bottge & Cho, 2013; Perin, 2011; Young, Hodge, Edwards, & Leising,…

The Changing Landscape of One Primary School's Mathematics Curriculum

ERIC Educational Resources Information Center

Dent, Wendy; McChesney, Jane

2016-01-01

This paper describes a period of substantial changes in the mathematics curriculum of one primary school in Christchurch. Using retrospective analysis, we identified two important conceptual themes: equity of mathematical learning and opportunities for all students to learn to be a mathematician. Access to research about these themes prompted two…

Early Number Skills Gains and Mathematics Achievement: Intervening to Establish Successful Early Mathematics Trajectories

ERIC Educational Resources Information Center

Shanley, Lina; Clarke, Ben; Doabler, Christian T.; Kurtz-Nelson, Evangeline; Fien, Hank

2017-01-01

Early number skills, comprised of both informal and formal skills, are associated with later mathematics achievement. Thus, the development of foundational early number skills is an important aspect of early mathematics instruction. This study explored relations between early number skills gains and mathematics achievement for students at risk for…

Mathematics. Exceptional Child Education Curriculum K-12.

ERIC Educational Resources Information Center

Jordon, Thelma; And Others

The mathematics curriculum provides a framework of instruction for exceptional child education in grades K-12. Content areas include: numeration, whole numbers, rational numbers, real/complex numbers, calculator literacy, measurement, geometry, statistics, functions/relations, computer literacy, and pre-algebra. The guide is organized by content…

Mathematical Knowledge and Skills Expected by Higher Education in Engineering and the Social Sciences: Implications for High School Mathematics Curriculum

ERIC Educational Resources Information Center

Basaran, Mehmet; Özalp, Gülümser; Kalender, Ilker; Alacaci, Cengiz

2015-01-01

One important function of school mathematics curriculum is to prepare high school students with the knowledge and skills needed for university education. Identifying them empirically will help making sound decisions about the contents of high school mathematics curriculum. It will also help students to make informed choices in course selection at…

Results of Third-Grade Students in a Reform Curriculum on the Illinois State Mathematics Test.

ERIC Educational Resources Information Center

Carroll, William M.

1997-01-01

Reports on the results of the reform curriculum of the University of Chicago School Mathematics Project's elementary curriculum, Everyday Mathematics, for third-grade students. Results included the fact that only 2% of UCSMP students failed to meet state goals. UCSMP students also scored well in all mathematical areas including number skills and…

An Analysis of the New 9-Year Basic Education Mathematics Curriculum in Nigeria

ERIC Educational Resources Information Center

Awofala, Adeneye O. A.

2012-01-01

The intention of this paper is to describe and reflect on the changes in the new 9-year basic education mathematics curriculum in Nigeria. The paper is divided into four major themes: history of curriculum development in mathematics education at the basic education level in Nigeria, the motivations for the revision of the primary and junior…

[Bilingual-Bicultural Curriculum for Mathematics: Grade 2.

ERIC Educational Resources Information Center

Marrero-Ribot, Maria; And Others

Designed to assist bilingual teachers in providing a coordinated program of studies for students in the Connecticut Migratory Children's Program and others whose native language is Spanish, this bilingual-bicultural mathematics curriculum guide for second grade is one of a series for pre-school through fifth grade. The overall focus is on Puerto…

Contemporary Perspectives on Early Childhood Curriculum. Contemporary Perspectives in Early Childhood Education.

ERIC Educational Resources Information Center

Saracho, Olivia N. Ed.; Spodek, Bernard, Ed.

Noting that the curriculum in early childhood education is dramatically different from that at other levels of education, this volume seeks to clarify some of the issues related to early childhood curriculum development and its bases in both personal knowledge and knowledge from the different disciplines to achieve a "balanced curriculum."…

The DREME Network: Research and Interventions in Early Childhood Mathematics.

PubMed

Day-Hess, Crystal; Clements, Douglas H

2017-01-01

The DREME Network was created to advance the field of early mathematics research and improves the opportunities to develop math competencies offered to children birth through age 8 years, with an emphasis on the preschool years. All four main Network projects will have implications for interventions. Section 1 introduces the Network and its four projects. The remainder of the chapter focuses on one of these four projects, Making More of Math (MMM), in depth. MMM is directly developing an intervention for children, based on selecting high-quality instructional activities culled from the burgeoning curriculum resources. We first report a review of 457 activities from 6 research-based curricula, which describes the number of activities by content focus, type (nature), and setting of each activity. Given the interest in higher-order thinking skills and self-regulation, we then identified activities that had the potential to, develop both mathematics and executive function (EF) proficiencies. We rated these, selecting the top 10 for extensive coding by mathematics content and EF processes addressed. We find a wide divergence across curricula in all these categories and provide comprehensive reports for those interested in selecting, using, or developing early mathematics curricula. © 2017 Elsevier Inc. All rights reserved.

Third-Year High School Mathematics Curriculum: Effects of Content Organization and Curriculum Implementation

ERIC Educational Resources Information Center

Chávez, Óscar; Tarr, James E.; Grouws, Douglas A.; Soria, Victor M.

2015-01-01

We examined the effect of curriculum organization in US high schools where students could freely choose to study mathematics from textbooks that employed one of two types of content organization, an "integrated" approach or a (traditional) "subject-specific" approach. The study involved 2,242 high school students, enrolled in…

An Evaluation of the Effectiveness of the New Primary School Mathematics Curriculum in Practice

ERIC Educational Resources Information Center

Gomleksiz, Mehmet Nuri; Bulut, Ilhami

2007-01-01

The aim of this study is to determine and compare the views of primary school teachers on the implementation and effectiveness of the new primary school mathematics curriculum. For that aim, a 32-item Likert-type Mathematics Curriculum Scale was developed. The reliability of the scale was tested through Cronbach Alpha (0.98), Spearman-Brown (0.93)…

A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools

NASA Astrophysics Data System (ADS)

Kaur, Berinderjeet; Tay, Eng Guan; Toh, Tin Lam; Leong, Yew Hoong; Lee, Ngan Hoe

2018-03-01

A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools is a programmatic research project at the National Institute of Education (NIE) funded by the Ministry of Education (MOE) in Singapore through the Office of Education Research (OER) at NIE. The main goal of the project is to collect a set of data that would be used by two studies to research the enacted secondary school mathematics curriculum. The project aims to examine how competent experienced secondary school teachers implement the designated curriculum prescribed by the MOE in the 2013 revision of curriculum. It does this firstly by examining the video recordings of the classroom instruction and interactions between secondary school mathematics teachers and their students, as it is these interactions that fundamentally determine the nature of the actual mathematics learning and teaching that take place in the classroom. It also examines content through the instructional materials used—their preparation, use in classroom and as homework. The project comprises a video segment and a survey segment. Approximately 630 secondary mathematics teachers and 600 students are participating in the project. The data collection for the video segment of the project is guided by the renowned complementary accounts methodology while the survey segment adopts a self-report questionnaire approach. The findings of the project will serve several purposes. They will provide timely feedback to mathematics specialists in the MOE, inform pre-service and professional development programmes for mathematics teachers at the NIE and contribute towards articulation of "Mathematics pedagogy in Singapore secondary schools" that is evidence based.

Leading a New Pedagogical Approach to Australian Curriculum Mathematics: Using the Dual Mathematical Modelling Cycle Framework

ERIC Educational Resources Information Center

Lamb, Janeen; Kawakami, Takashi; Saeki, Akihiko; Matsuzaki, Akio

2014-01-01

The aim of this study was to investigate the use of the "dual mathematical modelling cycle framework" as one way to meet the espoused goals of the Australian Curriculum Mathematics. This study involved 23 Year 6 students from one Australian primary school who engaged in an "Oil Tank Task" that required them to develop two…

Calculators in the Mathematics Curriculum: Effects and Changes.

ERIC Educational Resources Information Center

Rabe, Rebecca Moore

The purpose of this paper was to determine the effects of calculators in mathematics classes and to assess proposed curriculum revisions related to calculators. Twenty-six calculator studies and other selected sources were reviewed and annotated. Major conclusions of the study include: (1) calculator use has produced significant gains in…

Mathematics II. Curriculum Guide. Bulletin 1161. Revised 1983.

ERIC Educational Resources Information Center

Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.

Developed by a statewide committee in response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide presents the content that should be taught in Mathematics II. It was piloted by teachers in representative school systems and subsequently revised. Seven goals for the course are listed, followed…

The Power of Numbers. A Teacher's Guide to Mathematics in a Social Studies Context. An Interdisciplinary Curriculum.

ERIC Educational Resources Information Center

Gross, Fred E.; And Others

This document is the teacher's guide for a curriculum designed to teach mathematics in a social studies context. It provides mathematical experiences in real world contexts that help students interpret, experiment, communicate, and look for multiple solutions to complex problems. The curriculum uses mathematics in context to help students develop…

Preparation of Students Completing a Core-Plus or Commercially Developed High School Mathematics Curriculum for Intense College Mathematics Coursework

ERIC Educational Resources Information Center

Harwell, Michael R.; Medhanie, Amanuel; Post, Thomas R.; Norman, Ke; Dupuis, Danielle N.

2012-01-01

The purpose of this study was to examine the college mathematics achievement and course-taking of students at a large public research university who completed a commercially developed or standards-based (Core-Plus) high school mathematics curriculum, and who subsequently completed at least 2 college mathematics courses of difficulty level at or…

The Challenge of Learning Physics before Mathematics: A Case Study of Curriculum Change in Taiwan

ERIC Educational Resources Information Center

Chiu, Mei-Shiu

2016-01-01

The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without…

Evaluation of an Integrated Curriculum in Physics, Mathematics, Engineering, and Chemistry

NASA Astrophysics Data System (ADS)

Beichner, Robert

1997-04-01

An experimental, student centered, introductory curriculum called IMPEC (for Integrated Mathematics, Physics, Engineering, and Chemistry curriculum) is in its third year of pilot-testing at NCSU. The curriculum is taught by a multidisciplinary team of professors using a combination of traditional lecturing and alternative instructional methods including cooperative learning, activity-based class sessions, and extensive use of computer modeling, simulations, and the world wide web. This talk will discuss the research basis for our design and implementation of the curriculum, the qualitative and quantitative methods we have been using to assess its effectiveness, and the educational outcomes we have noted so far.

What Would the Mathematics Curriculum Look Like if Values Were the Focus?

ERIC Educational Resources Information Center

Seah, Wee Tiong; Andersson, Annica; Bishop, Alan; Clarkson, Philip

2016-01-01

The crucial reason for the common dislike, fear, and even hatred of mathematics by students and others is probably not the nature of mathematics itself, but the way the subject is portrayed and taught. We propose that instead of a mathematics curriculum that focuses on concepts and techniques (which is often seen), it might be more productive if…

Conversations about curriculum change: mathematical thinking and team-based learning in a discrete mathematics course

NASA Astrophysics Data System (ADS)

Paterson, Judy; Sneddon, Jamie

2011-10-01

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused on what he calls the 'unspoken curriculum': mathematical thinking. We consider the ways in which the TBL model promoted and enabled this in the light of literature on mathematical thinking, sense-making and behaviours, and strongly suggest that this approach warrants more attention from the mathematics teaching community. We also discuss shifts in the mathematician's thinking about task construction as he refined the tasks to encourage students to think and behave like mathematicians.

Early Childhood Curriculum: Planning, Assessment, and Implementation

ERIC Educational Resources Information Center

McLachlan, Claire; Fleer, Marilyn; Edwards, Susan

2010-01-01

"Early Childhood Curriculum" addresses current approaches to curriculum for infants, toddlers and young children, ages birth to eight. It provides a comprehensive introduction to the curriculum issues that student teachers and emerging practitioners will face and equips them with the decision-making tools that will ultimately enhance and promote…

Early Attachment Relationships and the Early Childhood Curriculum

ERIC Educational Resources Information Center

Cortazar, Alejandra; Herreros, Francisca

2010-01-01

This article explores the relationship between attachment theory and the early childhood curriculum. During the first years of life children develop early attachment relationships with their primary caregivers. These attachment relationships, either secure or insecure, will shape children's socio-emotional development. In the USA, the predominant…

The Challenge of Learning Physics Before Mathematics: A Case Study of Curriculum Change in Taiwan

NASA Astrophysics Data System (ADS)

Chiu, Mei-Shiu

2016-12-01

The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without prior learning experiences of trigonometry in mathematics. The perspectives of three curriculum developers, 22 mathematics and physics teachers, two principals, and 45 science students were obtained by interview. The results of qualitative data analysis revealed six challenges and suggested likely solutions. The national level includes political and social challenges, resolved by respecting teachers as professionals; the teacher level includes knowledge and teaching challenges, resolved by increasing teacher trans-literal capacities; and the student level includes learning and justice challenges, resolved by focusing on students' diverse developments in cross-domain learning.

Course and Curriculum Improvement Materials: Mathematics, Science, Social Sciences - Elementary, Intermediate, Secondary.

ERIC Educational Resources Information Center

National Science Foundation, Washington, DC.

This is a list of curriculum improvement materials produced by major course and curriculum projects supported by the National Science Foundation's Division of Pre-College Education in Science. The materials are grouped by educational level (elementary, intermediate, and secondary) and within each level by broad discipline groupings (mathematics,…

Mathematical Difficulty: Does Early Intervention Enhance Mathematical Performance?

ERIC Educational Resources Information Center

Graham, Jennifer

2008-01-01

The need to ask educators about their opinions on the subject to what extent early intervention methods enhance mathematical performance is long overdue. The purpose of this quantitative research is to examine the extent to which teachers agree that early intervention methods enhance the mathematical performance of students with mathematical…

Impact Evaluation of Further Mathematics Curriculum in Nigeria

ERIC Educational Resources Information Center

Odili, Godwin Alo; Asuru, Vincent A.

2011-01-01

This research was a perceptual survey study carried out to determine whether the goals of Further Mathematics Curriculum (FMC) are being achieved at the Senior Secondary School level. The sample for the study consisted of 240 FM final year students, 45 FM teachers and 180 undergraduates who were selected by a multistage stratified random sampling…

Administering and Implementing the Singapore Mathematics Curriculum at a Learning Center

ERIC Educational Resources Information Center

Reaume, Hannah Colette

2013-01-01

A learning center in the southeastern part of the United States used the Singapore mathematics curriculum (SMC) to support student learning of a wide range of mathematics skills. However, a study had yet to be conducted to gain an understanding about the administration and implementation of the program. This case study was conceptually based on…

Teachers' Concerns and Efficacy Beliefs about Implementing a Mathematics Curriculum Reform: Integrating Two Lines of Inquiry

ERIC Educational Resources Information Center

Charalambous, Charalambos Y.; Philippou, George N.

2010-01-01

This study brings together two lines of research on teachers' affective responses toward mathematics curriculum reforms: their concerns and their efficacy beliefs. Using structural equation modeling to analyze data on 151 elementary mathematics teachers' concerns and efficacy beliefs 5 years into a mandated curriculum reform on problem solving,…

Small Schools Mathematics Curriculum, 4-6: Reading, Language Arts, Mathematics, Science, Social Studies. Scope, Objectives, Activities, Resources, Monitoring Procedures.

ERIC Educational Resources Information Center

Hartl, David, Ed.; And Others

The Washington grade 4-6 mathematics curriculum is organized according to the Small Schools Materials format which lists the sequence of learning objectives related to a specific curriculum area, recommends a teaching and mastery grade placement, and identifies activities, monitoring procedures and possible resources used in teaching to the…

Using Curriculum-Based Assessment and Curriculum-Based Measurement to Guide Elementary Mathematics Instruction: Effect on Individual and Group Accountability Scores

ERIC Educational Resources Information Center

VanDerHeyden, Amanda M.; Burns, Matthew K.

2005-01-01

No Child Left Behind mandates accountability data for school districts. This mandate has led to increased attention to instruction and academic remediation among educational researchers. The current study used schoolwide curriculum-based assessment (CBA) and curriculum-based measurement (CBM) data to plan and deliver mathematics instruction to…

From Intended Curriculum to Written Curriculum: Examining the "Voice" of a Mathematics Textbook

ERIC Educational Resources Information Center

Herbel-Eisenmann, Beth A.

2007-01-01

The author used a discourse analytic framework to examine the "voice" of a middle school mathematics unit. The aim of the analysis was to see whether the authors of the unit achieved the ideological goal (i.e., the intended curriculum) put forth by the NCTM's "Standards" (1991) to shift the locus of authority away from the teacher and the textbook…

The Australian Mathematics Curriculum: A Move Forward or Back to the Future?

ERIC Educational Resources Information Center

Atweh, Bill; Goos, Merrilyn

2011-01-01

The release of the "Australian curriculum: Mathematics" has generated considerable debate in the education community. Some educators warn that this debate has centred on mathematical content and skills, setting the conditions for a "back to basics" movement in line with the political rhetoric that accompanied the national…

Experimental Evaluation of the Effects of a Research-Based Preschool Mathematics Curriculum

ERIC Educational Resources Information Center

Clements, Douglas H.; Sarama, Julie

2008-01-01

A randomized-trials design was used to evaluate the effectiveness of a preschool mathematics program based on a comprehensive model of research-based curricula development. Thirty-six preschool classrooms were assigned to experimental (Building Blocks), comparison (a different preschool mathematics curriculum), or control conditions. Children were…

Refining "Teacher Design Capacity": Mathematics Teachers' Interactions with Digital Curriculum Resources

ERIC Educational Resources Information Center

Pepin, B.; Gueudet, G.; Trouche, L.

2017-01-01

The goal of this conceptual paper is to develop enhanced understandings of mathematics teacher design and design capacity when interacting with digital curriculum resources. We argue that digital resources in particular offer incentives and increasing opportunities for mathematics teachers' design, both individually and in collectives. Indeed they…

Using Curriculum-Based Measurement To Monitor Kindergarteners' Mathematics Development

ERIC Educational Resources Information Center

Seethaler, Pamela M.; Fuchs, Lynn S.

2011-01-01

The purpose of this study was to examine technical and instructional features of a kindergarten curriculum-based measurement (CBM) tool designed to track students' mathematics progress in terms of computational concepts, procedures, and counting strategies. Students in 10 kindergarten classrooms in three elementary schools completed alternate…

Mathematics: A Practical View. Volume I, Teacher Edition. Applied Basic Curriculum Series.

ERIC Educational Resources Information Center

Evaluation, Dissemination and Assessment Center, Dallas.

The activities in this volume of practical mathematics are intended for the intermediate grades. The manual contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate…

Investigative Approaches to Teaching Mathematics and "Getting through the Curriculum": The Example of Pendulums

ERIC Educational Resources Information Center

Beswick, Kim; Muir, Tracey; Callingham, Rosemary

2014-01-01

The benefits of rich tasks, project-based learning, and other inquiry-based approaches in terms of student understanding and engagement with mathematics are well documented. Such pedagogies are consistent with the development of mathematical proficiencies as described in the "Australian Curriculum: Mathematics" (Australian Curriculum…

University of Chicago School Mathematics Project 6-12 Curriculum. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2011

2011-01-01

The "University of Chicago School Mathematics Project ("UCSMP") 6-12 Curriculum" is a series of yearlong courses--(1) Transition Mathematics; (2) Algebra; (3) Geometry; (4) Advanced Algebra; (5) Functions, Statistics, and Trigonometry; and (6) Precalculus and Discrete Mathematics--emphasizing problem solving, real-world applications, and the use…

Small Schools Mathematics Curriculum, Grades 7-8: Reading, Language Arts, Mathematics, Science, Social Studies. Scope, Objectives, Activities, Resources, Monitoring Procedures.

ERIC Educational Resources Information Center

Hartl, David, Ed.; And Others

Developed during the 1976-77 school year to assist Washington grade 7-8 teachers in small school districts with the improvement of curriculum and instruction, this learning-objective-based curriculum suggests activities, monitoring procedures and resources for mathematics. Introductory materials describe the organization of Small School materials,…

Community Elders, Traditional Knowledge, and a Mathematics Curriculum Framework.

ERIC Educational Resources Information Center

Yamamura, Brian; Netser, Saimanaaq; Qanatsiaq, Nunia

2003-01-01

In Nunavut, where most residents are Inuit, Inuit elders are helping develop a new mathematics curriculum based on Inuit philosophy. Students will be involved in cultural, experiential activities during on-the-land trips. Such trips involve other community members, and the resulting interactions and informal teaching by individuals other than…

Kendall Demonstration Elementary School: Mathematics Curriculum Guide. Second Edition.

ERIC Educational Resources Information Center

Mason, Virgyl

This mathematics curriculum guide is one of a series developed by the Kendall Demonstration Elementary School (KDES), which serves hearing-impaired students in grades 1-8, to provide a clear representation of the school's programs in various subject areas. Essential classroom practices in the areas of planning, instruction, and evaluation are…

Effects of a Preschool and Kindergarten Mathematics Curriculum: Big Math for Little Kids

ERIC Educational Resources Information Center

Presser, Ashley Lewis; Clements, Margaret; Ginsburg, Herbert; Ertle, Barbrina

2012-01-01

"Research Findings: Big Math for Little Kids" ("BMLK") is a mathematics curriculum designed for 4- and 5-year-old children. In this study, the curriculum was evaluated for effectiveness over two years, using a cluster-randomized controlled study. Over 750 children participated in the study and experienced either the…

Early Years Students' Relationships with Mathematics

ERIC Educational Resources Information Center

Takeuchi, Miwa Aoki; Towers, Jo; Plosz, Jennifer

2016-01-01

Early years mathematics experiences have been shown to be a significant predictor for students' school readiness and future mathematics achievement. Previous research also indicates an important connection between emotion and mathematics learning. How do students in early years education in Alberta describe their emotional relationship with…

Children's Mathematical Knowledge Prior to Starting School

ERIC Educational Resources Information Center

Gervasoni, Ann; Perry, Bob

2013-01-01

The introduction of the "Early Years Learning Framework and the Australian Curriculum-Mathematics" in Australian preschools and primary schools has caused early childhood educators to reconsider what may be appropriate levels of mathematics knowledge to expect from children as they start school. This paper reports on initial data from an…

Discrete Topics in the Undergraduate Mathematics Curriculum: How Big a Step Should We Take?

ERIC Educational Resources Information Center

Gordon, Sheldon P.

The question of the advisability of incorporating discrete mathematics into the mathematics curriculum is addressed by examining the different types of courses typically offered in the first two years of college and the appropriateness of including discrete mathematics topics in these courses. The introductory section explains how the advent of…

Investigating the Alignment of Bhutanese Mathematics Teachers' Planned Approaches within the Context of a Reformed Curriculum

ERIC Educational Resources Information Center

Dolma, Phuntsho; Nutchey, David; Watters, James J.; Chandra, Vinesh

2018-01-01

Reform of mathematics education has been in focus in many countries including those in major economic transition. This paper reports a segment of a study which was conducted in Bhutan, where a reformed elementary mathematics curriculum has been recently introduced. The reformed curriculum is based on social constructivism and its design has been…

Digital Curriculum Resources in Mathematics Education: Foundations for Change

ERIC Educational Resources Information Center

Pepin, Birgit; Choppin, Jeffrey; Ruthven, Kenneth; Sinclair, Nathalie

2017-01-01

In this conceptual review paper we draw on recent literature with respect to digital curriculum resources (DCR); we briefly outline and explain selected theoretical frames; and we discuss issues related to the design, and the use (by teachers and students) of digital curricula and e-textbooks in mathematics education. The results of our review…

Reinventing the Undergraduate Curriculum: Strategies To Enhance Student Learning in Mathematics and Science.

ERIC Educational Resources Information Center

Nelson, Barbara J., Comp.; Wallner, Barbara K., Comp.; Powers, Myra L. Ed.; Hartley, Nancy K., Ed.

This publication is a compilation of examples of practical, easily implemented activities to help mathematics, science, and education faculty duplicate efforts by the Rocky Mountain Teacher Education Collaborative (RMTEC) to reform and revise curriculum for preservice educators. Activities are organized by content areas: mathematics; geology,…

Why Not Philosophy? Problematizing the Philosophy of Mathematics in a Time of Curriculum Reform

ERIC Educational Resources Information Center

White-Fredette, Kimberly

2010-01-01

This article argues that, as teachers struggle to implement curriculum reform in mathematics, an explicit discussion of philosophy of mathematics is missing from the conversation. Building on the work of Ernest (1988, 1991, 1994, 1998, 1999, 2004), Lerman (1990, 1998, 1999), the National Council of Teachers of Mathematics (1989, 1991, 2000), Davis…

An analysis of teacher’s preparation in implementing 2013 revision edition curriculum on mathematics specialization learning

NASA Astrophysics Data System (ADS)

Susilo, T.; Suryawan, A.

2018-05-01

This study aimed to determine the pedagogical competence of teachers, the readiness of planning and implementation of learning related to the implementation 2013 revised edition curriculum on mathematics specialization learning for senior high schools Wonogiri. Informants in this study there are 6 high school mathematics teachers X and XI class who teach in the school district Wonogiri. Data were collected using questionnaire method, interview, observation and documentation. Qualitative data analysis is done interactively through 4 paths: data collection, data reduction, data display, drawing conclusion. The results showed that high school mathematics teacher class X and XI in school district of Wonogiri City. The results show that most high school mathematics teachers in grade X and XI are ready to implement the 2013 revised edition curriculum and a few have not been able to implement due to internal or external factors. High school math teachers at Wonogiri district who are ready to face the 2013 revised edition curriculum have applied 10 teacher pedagogic competency indicators according to Regulation of the national education ministry Number 16 Year 2007 in learning. The readiness and implementation of mathematics learning is in line with the demands of the 2013 revised edition curriculum. Based on the teachers who are not ready, data on issues that arise in the implementation of the 2013 revised edition curriculum. Especially the problems in learning, namely mismatch of Core Competence (KI) and Basic Competence (KD) in teacher manual, material disregard in student handbook and lack of examples of problems that exist in teacher manual.

Mathematics Curriculum Guide Algebra I. Bulletin 1987, No. 48.

ERIC Educational Resources Information Center

Alabama State Dept. of Education, Montgomery.

This guide is designed to help classroom teachers implement the Alabama Course of Study: Mathematics K-12. It is inclusive also of the objectives tested by the Stanford Achievement Tests and the Alabama Basic Competency Tests. One characteristic of the curriculum guide is that it clearly states what students should learn in each grade level. These…

Effects of a Preschool Mathematics Curriculum: Summative Research on the "Building Blocks" Project

ERIC Educational Resources Information Center

Clements, Douglas H.; Sarama, Julie

2007-01-01

This study evaluated the efficacy of a preschool mathematics program based on a comprehensive model of developing research-based software and print curricula. Building Blocks, funded by the National Science Foundation, is a curriculum development project focused on creating research-based, technology-enhanced mathematics materials for pre-K…

Making the Learning of Mathematics More Meaningful

NASA Technical Reports Server (NTRS)

Ward, Robin A.

1998-01-01

In the early 1980's, the National Commission on Excellence in Education responded to the call for reform in the teaching and learning of mathematics. In particular, the Commission developed a document addressing the consensus that all students need to learn more, and often different, mathematics and that instruction in mathematics must be significantly revised. In a response to these calls for mathematics education reform, the National Council of Teachers of Mathematics (NCTM) developed its Curriculum and Evaluation Standards (1989) with a two-fold purpose: 1) to create a coherent vision of what it means to be mathematically literate in a world that relies on calculators and computers, and 2) to create a set of standards to guide the revisions of school mathematics curriculum.

Mathematics, Music, and Movement: Exploring Concepts and Connections.

ERIC Educational Resources Information Center

Shilling, Wynne A.

2002-01-01

Explores connections between mathematics, music, and movement in early childhood curriculum. Presents music activities in which mathematical concepts are embedded; focuses on activities providing experiences with time-based relationships and rhythmic patterns. Asserts that integrating movement and mathematics into music activities provides a way…

Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.

ERIC Educational Resources Information Center

MacKenzie, Louise; Smith, Alice

These four consumer citizenship curriculum guides for social studies, English, science, and mathematics incorporate consumer education into these subject matter areas in grades 8-12. Each guide is organized around 10 main component/goals. They are basic economics in the marketplace, credit, consumer law/protection, banking skills, comparison…

Debates on the Basic Education Curriculum Reform and Teachers' Challenges in China: The Case of Mathematics

ERIC Educational Resources Information Center

Li, Qiong; Ni, Yu-jing

2012-01-01

Focusing on the case of mathematics, this paper reviews debates on China's new Basic Education Curriculum Reform program, including the status of knowledge within the reformed curriculum, the arrangement of the curriculum system, and the push toward real-life applicability and hands-on participation. It discusses the related challenges that…

The Place of Problem Solving in Contemporary Mathematics Curriculum Documents

ERIC Educational Resources Information Center

Stacey, Kaye

2005-01-01

This paper reviews the presentation of problem solving and process aspects of mathematics in curriculum documents from Australia, UK, USA and Singapore. The place of problem solving in the documents is reviewed and contrasted, and illustrative problems from teachers' support materials are used to demonstrate how problem solving is now more often…

Embracing Curriculum Compacting: Teacher Candidates Supporting Differentiated Instruction in Elementary Mathematics

ERIC Educational Resources Information Center

Livers, Stefanie D.; Paxton, Minda; O'Grady, Nicole; Tontillo, Michael

2018-01-01

This article discusses a collaborative effort to implement curriculum compacting activities with elementary students in conjunction with developing teacher candidates' abilities to teach mathematics. This endeavor included a partnership between a university and a local elementary school. All stakeholders benefited from this project: The elementary…

Evaluation of Mathematics Curriculum in Primary Teacher Training Institute in Somalia. African Studies in Curriculum Development & Evaluation.

ERIC Educational Resources Information Center

Jama, Mohamed A. F.

This study sought to evaluate the mathematics curriculum of the Halane Teacher Training Institute in Somalia with a view toward: (1) determining its weaknesses and recommending measures for improvement; (2) examining its relevance to the present needs of the Somali society; (3) determining the suitability of instructional materials and other…

The Underachieving Curriculum: Assessing U.S. School Mathematics from an International Perspective. A National Report on the Second International Mathematics Study.

ERIC Educational Resources Information Center

McKnight, Curtis C.; And Others

The Second International Mathematics Study investigated the status of the curriculum, achievement, and instructional practices at grades 8 and 12 in about 20 countries. The introductory first chapter explores the need for change in mathematics programs. Chapter two describes the achievement of U.S. students compared to others. At grade 8, U.S.…

Why do early mathematics skills predict later reading? The role of mathematical language.

PubMed

Purpura, David J; Logan, Jessica A R; Hassinger-Das, Brenna; Napoli, Amy R

2017-09-01

A growing body of evidence indicates that the development of mathematics and literacy skills is highly related. The importance of literacy skills-specifically language-for mathematics development has been well rationalized. However, despite several prominent studies indicating that mathematics skills are highly predictive of literacy development, the reason for this relation is not well understood. The purpose of this study was to identify how and why early mathematics is predictive of early literacy development. Participants included 125 preschool children 3-5 years old (M = 4 years 3 months). Participants were assessed on mathematics, literacy, and cognitive measures in both the fall and spring of their preschool year. Mediation analyses indicated that the relation between early mathematics and literacy skills is mediated by children's mathematical language skills. These findings suggest that, in prior research identifying mathematical performance as a significant predictor of later literacy skills, mathematical performance may have acted only as a proxy measure for more complex language skills such as those assessed on a mathematical language measure. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

Effects of a Reform High School Mathematics Curriculum on Student Achievement: Whom Does It Benefit?

ERIC Educational Resources Information Center

Krupa, Erin E.; Confrey, Jere

2017-01-01

This study compared the effects of an integrated reform-based curriculum to a subject-specific curriculum on student learning of 19,526 high school algebra students. Using hierarchical linear modelling to account for variation in student achievement, the impact of the reform-based "Core-Plus Mathematics" curricular materials on student…

ABCs of Early Mathematics Experiences

ERIC Educational Resources Information Center

Hensen, Laurie E.

2005-01-01

Children begin to develop mathematical thinking before they enter school. Art, baking, playing with blocks, counting numbers, games, puzzles, singing, playing with pretend money, water play all these early mathematical experiences help the children to learn in the elementary school years.

Exploring the Relationship between Music Learning and Mathematics Learning in an Interdisciplinary Pre-K Curriculum

ERIC Educational Resources Information Center

McDonel, Jennifer S.

2013-01-01

The purpose of this study was to examine children's musical and mathematical behaviors as they participated in an interdisciplinary pre-K curriculum. Research questions were: 1. What connections--if any--do young children make between music learning and mathematics learning? 2. Is there a relationship between young children's emergent rhythm…

International Perspectives on Early Childhood Curriculum Changes in Singapore and Australia

ERIC Educational Resources Information Center

Nyland, Berenice; Ng, Josephine

2016-01-01

This article explores early childhood curriculum reform in Australia and Singapore in order to identify international trends in early childhood education (ECE), similarities in curriculum reform initiatives and implementation strategies adopted. We have observed the existence of many shared ideas across the two contexts that may influence…

"Te Whariki", the New Zealand Early Childhood Curriculum: Is It Effective?

ERIC Educational Resources Information Center

Blaiklock, Ken

2010-01-01

"Te Whariki", the New Zealand early childhood curriculum, has received much praise since its introduction in 1996. There is, however, little research evidence about the implementation or effectiveness of the curriculum in early childhood centres. This article raises questions about the structure and content of "Te Whariki". The…

New Zealand Early Childhood Curriculum: The Politics of Collaboration

ERIC Educational Resources Information Center

Farquhar, Sandy

2015-01-01

The New Zealand early childhood curriculum, "Te Whariki" (Ministry of Education [MoE],1996), is frequently hailed as a community inspired curriculum, praised nationally and internationally for its collaborative development, emancipatory spirit and bicultural approach. In its best form community can be collaborative, consultative,…

"Pedagogy of Third Space": A Multidimensional Early Childhood Curriculum

ERIC Educational Resources Information Center

Gupta, Amita

2015-01-01

This paper will illustrate how philosophical and pedagogical boundaries that are defined by diverse cultures and ideologies might be navigated in the practical implementation of an early childhood curriculum in postcolonial urban India. Findings from a qualitative naturalistic inquiry indicated that a complex, multifaceted curriculum shaped by…

Student achievement in science and mathematics on campuses that have implemented the CSCOPE curriculum model

NASA Astrophysics Data System (ADS)

Wilson, Emily R.

The purpose of this study was to determine whether differences in student achievement exist between school campuses which followed a specific standards-based curriculum model (CSCOPE) and school campuses which followed a non-CSCOPE or traditional curriculum model. One-hundred and sixty CSCOPE curriculum campuses and 160 non-CSCOPE curriculum campuses were used in the study. Achievement data were collected on students in the fifth, eighth, and eleventh grades using the campuses percentage passing on the Texas Assessment of Knowledge and Skills (TAKS) for both science and mathematics. The TAKS is the state-mandated assessment system used to comply with federal testing guidelines. Data for the 2007-2008 school year were used for the elementary level while data from 2006-2007 and 2007-2008 were used for junior high (middle school) and high school levels. Data were analyzed by overall class as well as aggregated by ethnic classifications. Descriptive statistics were used to summarize achievement results and t-tests were utilized to analyze achievement differences between the two curriculum models. Overall fifth grade students in CSCOPE schools outperformed (p < .05) non-CSCOPE counterparts in science and mathematics. Also, fifth grade Hispanic students using CSCOPE curriculum scored higher (p < .05) than those in traditional curricula. Eighth grade students in CSCOPE schools performed better (p < .05) in science than students in non-CSCOPE schools. Finally, eighth grade Hispanic and White subgroups using CSCOPE curriculum outperformed ( p < .05) their ethnic counterparts using traditional curriculum models. The only statistically significant finding at the eleventh grade level was the African-American subgroup in science, but this subgroup had too small of a sample to infer the findings to the population. Thus, the results would tend to support use of the standardized curriculum model (CSCOPE) at lower levels whereas achievement in high school may not be differentially

How Curriculum and Classroom Achievement Predict Teacher Time on Lecture- and Inquiry-Based Mathematics Activities

ERIC Educational Resources Information Center

Kaufman, Julia H.; Rita Karam; Pane, John F.; Junker, Brian W.

2012-01-01

This study drew on data from a large, randomized trial of Cognitive Tutor Algebra (CTA) in high-poverty settings to investigate how mathematics curricula and classroom achievement related to teacher reports of time spent on inquiry-based and lecture-based mathematics activities. We found that teachers using the CTA curriculum reported more time on…

Exploring the Associations Among Nutrition, Science, and Mathematics Knowledge for an Integrative, Food-Based Curriculum.

PubMed

Stage, Virginia C; Kolasa, Kathryn M; Díaz, Sebastián R; Duffrin, Melani W

2018-01-01

Explore associations between nutrition, science, and mathematics knowledge to provide evidence that integrating food/nutrition education in the fourth-grade curriculum may support gains in academic knowledge. Secondary analysis of a quasi-experimental study. Sample included 438 students in 34 fourth-grade classrooms across North Carolina and Ohio; mean age 10 years old; gender (I = 53.2% female; C = 51.6% female). Dependent variable = post-test-nutrition knowledge; independent variables = baseline-nutrition knowledge, and post-test science and mathematics knowledge. Analyses included descriptive statistics and multiple linear regression. The hypothesized model predicted post-nutrition knowledge (F(437) = 149.4, p < .001; Adjusted R = .51). All independent variables were significant predictors with positive association. Science and mathematics knowledge were predictive of nutrition knowledge indicating use of an integrative science and mathematics curriculum to improve academic knowledge may also simultaneously improve nutrition knowledge among fourth-grade students. Teachers can benefit from integration by meeting multiple academic standards, efficiently using limited classroom time, and increasing nutrition education provided in the classroom. © 2018, American School Health Association.

An Analysis of the Competency-Based Secondary Mathematics Curriculum in Sri Lanka

ERIC Educational Resources Information Center

Egodawatte, Gunawardena

2014-01-01

In education, there is a growing interest in the concept of "competency" especially in vocational training and professional development. The concept is strongly associated with the ability to apply knowledge and skills in effective ways in unanticipated situations. In Sri Lanka, a new competency-based mathematics curriculum was…

Small Schools Mathematics Curriculum, 9-12: Scope Objectives, Activities, Resources, Monitoring Procedures.

ERIC Educational Resources Information Center

Nelson, JoAnne, Ed.; And Others

The grade 9-12 mathematics curriculum learning objectives, activities, monitoring procedures and resources for small schools were developed during 1978-79 through the cooperative efforts of 10 Snohomish and Island County school districts, Educational Service District 189 and the Washington State Office of Public Instruction. The objectives were…

Turkish Primary School Students' Strategies in Solving a Non-Routine Mathematical Problem and Some Implications for the Curriculum Design and Implementation

ERIC Educational Resources Information Center

Erdogan, Abdulkadir

2015-01-01

Turkish primary mathematics curriculum emphasizes the role of problem solving for teaching mathematics and pays particular attention to problem solving strategies. Patterns as a subject and the use of patterns as a non-routine problem solving strategy are also emphasized in the curriculum. The primary purpose of this study was to determine how…

Engineering Curriculum in the Preschool Classroom: The Teacher's Experience

ERIC Educational Resources Information Center

Bagiati, Aikaterini; Evangelou, Demetra

2015-01-01

The study presented here focuses on the development of an early education Science, Technology, Engineering and Mathematics (STEM) curriculum with emphasis on engineering. This article presents the teacher's experience as she undertook the task of familiarising herself with the new content and using the curriculum in a university based…

A New Undergraduate Curriculum on Mathematical Biology at the University of Dayton

ERIC Educational Resources Information Center

Usman, Muhammad; Singh, Amit

2011-01-01

The beginning of modern science is marked by efforts of pioneers to understand the natural world using a quantitative approach. As Galileo wrote, "the book of nature is written in the language of mathematics". The traditional undergraduate course curriculum is heavily focused on individual disciplines like biology, physics, chemistry,…

The Secondary School Mathematics Curriculum Improvement Study Goals-The Subject Matter-Accomplishments

ERIC Educational Resources Information Center

Fehr, Howard F.

1970-01-01

Describes an experimental study attempting to construct a unified school mathematics curriculum for grades seven through twelve. Study was initiated in 1965 and is to be a six-year study. The total program includes, in the following order, syllabus writing, conferences, writing of experimental textbook, education of classroom teachers, pilot class…

SYMBIOSIS: Development, Implementation, and Assessment of a Model Curriculum across Biology and Mathematics at the Introductory Level

ERIC Educational Resources Information Center

Depelteau, Audrey M.; Joplin, Karl H.; Govett, Aimee; Miller, Hugh A., III; Seier, Edith

2010-01-01

With the support of the East Tennessee State University (ETSU) administration and a grant from Howard Hughes Medical Institute, the departments of Biological Sciences, Mathematics and Statistics, and Curriculum and Instruction have developed a biology-math integrated curriculum. An interdisciplinary faculty team, charged with teaching the 18…

How Early Childhood Educators Are Initally Integrating Tablet Technology in the Curriculum

ERIC Educational Resources Information Center

Leonard, Jessica Alexis

2013-01-01

This qualitative research examined how two early childhood educators initially integrated tablet technology in the curriculum through classroom observation, interviews and a review of documentation. The overall question was: how are early childhood educators initially integrating tablet technologies in the curriculum? The researcher also asked…

Patterns of Interaction and Mathematical Thinking of High School Students in Classroom Environments That Include Use of Java-Based, Curriculum-Embedded Software

ERIC Educational Resources Information Center

Fonkert, Karen L.

2012-01-01

This study analyzes the nature of student interaction and discourse in an environment that includes the use of Java-based, curriculum-embedded mathematical software. The software "CPMP-Tools" was designed as part of the development of the second edition of the "Core-Plus Mathematics" curriculum. The use of the software on…

Activities for Career Development in Early Childhood Curriculum.

ERIC Educational Resources Information Center

Yawkey, Thomas Daniels; Aronin, Eugene L.

The book presents career education activities and approaches for use by teachers, administrators, counselors, and students involved in early childhood education (ages three through eight). Part One stresses the importance of and rationale for career development in the early childhood curriculum. Research support for the approach to career…

Small Schools Mathematics Curriculum, K-3: Reading, Language Arts, Mathematics, Science, Social Studies. Scope, Objectives, Activities, Resources, Monitoring Procedures.

ERIC Educational Resources Information Center

Hartl, David, Ed.; And Others

Developed during 1975-76 by 40 primary teachers and 10 elementary principals from 12 small school districts in 2 Washington counties and first used during 1976-77 in more than 20 districts, this K-3 mathematics curriculum is designed to assist district compliance with Washington's Student Learning Objectives (SLO) Law, which requires…

Inclusion of African American Students in Mathematics Classrooms: Issues of Style, Curriculum, and Expectations.

ERIC Educational Resources Information Center

Rowser, Jacqueline Frazier; Koontz, Trish Yourst

1995-01-01

Attempts to help teachers reflect on classroom practices to encourage more participation in mathematics by all students, especially African Americans. Discusses learning styles of African Americans, culture-fair curriculum, and teacher expectations of African Americans. (14 references) (MKR)

Using Mathematics in Science: Working with Your Mathematics Department

ERIC Educational Resources Information Center

Lyon, Steve

2014-01-01

Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…

What Happens when the Research Ends? Factors Related to the Sustainability of a Technology-Infused Mathematics Curriculum

ERIC Educational Resources Information Center

Fishman, Barry; Penuel, William R.; Hegedus, Stephen; Roschelle, Jeremy

2011-01-01

This study examines factors related to the sustainability of SimCalc Mathworlds (SCMW), a technology-infused mathematics curriculum. We surveyed middle school teachers one year after their participation in a randomized trial where they were introduced to SCMW curriculum, to identify factors related to their continued use of the materials in ways…

An Evaluation of Curriculum-Based Measurement of Mathematics Word Problem--Solving Measures for Monitoring Third-Grade Students' Mathematics Competence

ERIC Educational Resources Information Center

Leh, Jayne M.; Jitendra, Asha K.; Caskie, Grace I. L.; Griffin, Cynthia C.

2007-01-01

The purpose of this study was to examine the tenability of a curriculum-based mathematical word problem-solving (WPS) measure as a progress-monitoring tool to index students' rate of growth or slope of achievement over time. Participants consisted of 58 third-grade students, who were assessed repeatedly over 16 school weeks. Students were measured…

A FIRST STEP TOWARDS THE IMPLEMENTATION OF THE CAMBRIDGE MATHEMATICS CURRICULUM IN A K-12 UNGRADED SCHOOL.

ERIC Educational Resources Information Center

FOSTER, GARRETT R.

A SERIES OF THREE CONFERENCES WAS HELD TO EXPLORE THE FEASIBILITY OF IMPLEMENTING A LONG-RANGE CURRICULUM DEVELOPMENT PROJECT FOR AN UNGRADED, K-12 SCHOOL, BASED ON RECOMMENDATIONS OF THE CAMBRIDGE CONFERENCE ON SCHOOL MATHEMATICS. OVER 50 MATHEMATICIANS, MATHEMATICS EDUCATORS, AND PERSONS INVOLVED IN THEORETICAL AND APPLIED PSYCHOLOGICAL…

Developing Fair Tests for Mathematics Curriculum Comparison Studies: The Role of Content Analyses

ERIC Educational Resources Information Center

Chavez, Oscar; Papick, Ira; Ross, Daniel J.; Grouws, Douglas A.

2011-01-01

This article describes the process of development of assessment instruments for a three-year longitudinal comparative study that focused on evaluating American high school students' mathematics learning from two distinct approaches to content organization: curriculum built around a sequence of three full-year courses (Algebra 1, Geometry, and…

The Importance of the Arts in the Early Childhood Curriculum.

ERIC Educational Resources Information Center

Bolen, Lu

1989-01-01

Describes the importance of music, movement, creative dramatics, and art in the early childhood curriculum. Discusses the relation of symbols and symbolic systems to young children's cognitive development and to the ability to communicate. Summarizes the reasons for including the arts in a comprehensive curriculum. (RJC)

The Effects of Integrating LEGO Robotics into a Mathematics Curriculum to Promote the Development of Proportional Reasoning

ERIC Educational Resources Information Center

Casler-Failing, Shelli L.

2017-01-01

This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six…

How Do Mathematics Teachers Decide What to Teach? Curriculum Authority and Sources of Information Accessed by Australian Teachers

ERIC Educational Resources Information Center

Clarke, David J.; Clarke, Doug M.; Sullivan, Peter

2012-01-01

Essential to teachers' planning are decisions regarding what should be taught. Curriculum documents are the most obvious authority. But what is a "curriculum document" for a mathematics teacher in Australia? Are there other credible sources of information that Australian teachers draw on when deciding what to teach? This article examines…

Early modern mathematical instruments.

PubMed

Bennett, Jim

2011-12-01

In considering the appropriate use of the terms "science" and "scientific instrument," tracing the history of "mathematical instruments" in the early modern period is offered as an illuminating alternative to the historian's natural instinct to follow the guiding lights of originality and innovation, even if the trail transgresses contemporary boundaries. The mathematical instrument was a well-defined category, shared across the academic, artisanal, and commercial aspects of instrumentation, and its narrative from the sixteenth to the eighteenth century was largely independent from other classes of device, in a period when a "scientific" instrument was unheard of.

Implementing the Singapore Mathematics Curriculum in South Africa: Experiences of Foundation Phase Teachers

ERIC Educational Resources Information Center

Naroth, Charmon; Luneta, Kakoma

2015-01-01

This paper reports on the findings from individual interviews and focus group discussions involving six teachers implementing the Singapore Mathematics Curriculum (SMC) in the Foundation Phase (Grade R to Grade 3) in a school in South Africa. The interviews presented an opportunity to explore teachers' experiences with their attempts to use the…

Guidelines for Grades 9-12 Mathematics Curriculum. Toward Meeting Present and Future Needs.

ERIC Educational Resources Information Center

Peterson, Wayne, Ed.

Three sequences of coursework are detailed in the curriculum development guidelines provided in this document. The 4-year sequence, structured around problem-solving, applications, and the acquisition of theory, is designed for the college-bound student who plans to enter a mathematics-based field of study. The 3-year sequence is designed for…

Exploring Teachers' Descriptions of 'Ways of Working with the Curriculum' in Teaching Mathematics and Statistics

ERIC Educational Resources Information Center

Umugiraneza, Odette; Bansilal, Sarah; North, Delia

2018-01-01

What teachers teach, how they teach it and when they teach it should be guided by the curriculum. This paper focuses on teachers' reports about how they integrate the curriculum documentation in teaching mathematics and statistics concepts. Questionnaires containing both Likert scale and closed and open-ended questions were administered to 75…

Pre-Tech Mathematics Curriculum.

ERIC Educational Resources Information Center

EASTCONN Regional Educational Services Center, North Windham, CT.

In 1988-89 the Connecticut Vocational-Technical School System initiated a program for the ongoing review and upgrading of all trade and academic curricula used in the system's 17 schools to insure that each curriculum is consistent with current standards. Every 3 years the Curriculum Steering Committee for the trade or academic subject conducts a…

Teaching Preschoolers to Count: Effective Strategies for Achieving Early Mathematics Milestones

ERIC Educational Resources Information Center

Jacobi-Vessels, Jill L.; Brown, E. Todd; Molfese, Victoria J.; Do, Ahn

2016-01-01

Attention to early childhood mathematics instructional strategies has sharpened due to the relatively poor mathematics performance of U.S. students in comparison to students from other countries and research evidence that early mathematics skills impact later achievement. Early Childhood counting skills form the foundation for subsequent…

Enacting Curriculum Reform through Lesson Study: A Case Study of Mathematics Teacher Learning

ERIC Educational Resources Information Center

Ni Shuilleabhain, Aoibhinn; Seery, Aidan

2018-01-01

Based in a time of major curriculum reform, this article reports on a qualitative case study of teacher professional development (PD) in the Republic of Ireland (ROI). Five mathematics teachers in an Irish secondary school were introduced to and participated in successive cycles of school-based lesson study (LS) over the course of one academic…

Predominant Teaching Strategies in Schools: Implications for Curriculum Implementation in Mathematics, Science and Technology

ERIC Educational Resources Information Center

Achuonye, Keziah Akuoma

2015-01-01

This descriptive survey is hinged on predominant teaching strategies in schools, implications for curriculum implementation in Mathematics, Science and Technology. Target population consisted of teachers in primary, secondary and tertiary schools. However, purposive sample of 900 respondents was drawn from the six BRACED states namely Bayelsa,…

Utilising a construct of teacher capacity to examine national curriculum reform in mathematics

NASA Astrophysics Data System (ADS)

Zhang, Qinqiong; Stephens, Max

2013-12-01

This study involving 120 Australian and Chinese teachers introduces a construct of teacher capacity to analyse how teachers help students connect arithmetic learning and emerging algebraic thinking. Four criteria formed the basis of our construct of teacher capacity: knowledge of mathematics, interpretation of the intentions of official curriculum documents, understanding of students' thinking, and design of teaching. While these key elements connect to what other researchers refer to as mathematical knowledge for teaching, several differences are made clear. Qualitative and quantitative analyses show that our construct was robust and effective in distinguishing between different levels of teacher capacity.

The Use of Minimum Objectives in Curriculum Research and Development, 1975-1976. Technical Report #45.

ERIC Educational Resources Information Center

Crowell, Doris

This report describes a curriculum, based on stated performance objectives, which was developed and implemented by the Kamehameha Early Education Program (KEEP). The structure of the mathematics and reading curriculum is described briefly and the use of performance objectives in evaluating student progress is discussed. Advantages of the…

Creating a Curriculum that Fosters Scientific thought

ERIC Educational Resources Information Center

Langley, Tilan

2009-01-01

Despite the progress in technology since the time of Maria Montessori, the science curriculum has been pushed aside slowly as teachers' focus has shifted to literacy and mathematics. The Early Childhood classroom has grown complacent with miniature life cycle lessons and attractive puzzles; the time has come to return science to a critical…

Tragic mathematics: romantic narratives and the refounding of mathematics in the early nineteenth century.

PubMed

Alexander, Amir R

2006-12-01

A new, Romantic type of mathematical story appeared in the early nineteenth century that was radically different from the sober narrative characteristic of the previous generation of mathematicians. At the same time, a new mathematical practice emerged that differed sharply from the understanding and practice of mathematics during the Enlightenment. These parallel developments are inseparable: the new type of mathematical practice went hand in hand with the new mathematical story.

An Epistemological and Ethical Categorization of Perspectives on Early Childhood Curriculum.

ERIC Educational Resources Information Center

Yang, Ok Seung

2001-01-01

Reviews the literature on contemporary early childhood education, categorizing perspectives on early childhood curriculum according to their core epistemological and ethical views about the mission of institutions of early childhood education. Identifies four perspectives guiding the curricula: idealism, empiricism, developmentalism, and…

Incorporating the Common Core's Problem Solving Standard for Mathematical Practice into an Early Elementary Inclusive Classroom

ERIC Educational Resources Information Center

Fletcher, Nicole

2014-01-01

Mathematics curriculum designers and policy decision makers are beginning to recognize the importance of problem solving, even at the earliest stages of mathematics learning. The Common Core includes sense making and perseverance in solving problems in its standards for mathematical practice for students at all grade levels. Incorporating problem…

Mathematics in Early Years Education. 3rd Edition

ERIC Educational Resources Information Center

Montague-Smith, Ann; Price, Alison

2012-01-01

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

Responding to a Relevance Imperative in School Science and Mathematics: Humanising the Curriculum Through Story

NASA Astrophysics Data System (ADS)

Darby-Hobbs, Linda

2013-02-01

There has been a recent push to reframe curriculum and pedagogy in ways that make school more meaningful and relevant to students' lives and perceived needs. This `relevance imperative' is evident in contemporary rhetoric surrounding quality education, and particularly in relation to the junior secondary years where student disengagement with schooling continues to abate. This paper explores how teachers translate this imperative into their mathematics and science teaching. Interview data and critical incidents from classroom practice are used to explore how six teachers attempted to make the subject matter meaningful for their students. Four `Categories of Meaning Making' emerged, highlighting key differences in how the nature of science and mathematics content constrained or enabled linkages between content and students' lifeworlds. While the teachers demonstrated a commitment to humanising the subject at some level, this analysis has shown that expecting teachers to make the curriculum relevant is not unproblematic because the meaning of relevance as a construct is complex, subject-specific, and embedded in understanding the human dimensions of learning, using, and identifying with, content. Through an examination of the construct of relevance and a humanistic turn in mathematics and science literature I argue for an expanded notion of relevance.

The Impact of Hands-On-Approach on Student Academic Performance in Basic Science and Mathematics

ERIC Educational Resources Information Center

Ekwueme, Cecilia O.; Ekon, Esther E.; Ezenwa-Nebife, Dorothy C.

2015-01-01

Children can learn mathematics and sciences effectively even before being exposed to formal school curriculum if basic Mathematics and Sciences concepts are communicated to them early using activity oriented (Hands-on) method of teaching. Mathematics and Science are practical and activity oriented and can best be learnt through inquiry (Okebukola…

Teachers' Pedagogical Mathematical Awareness in Swedish Early Childhood Education

ERIC Educational Resources Information Center

Björklund, Camilla; Barendregt, Wolmet

2016-01-01

Revised guidelines for Swedish early childhood education that emphasize mathematics content and competencies in more detail than before raise the question of the status of pedagogical mathematical awareness among Swedish early childhood teachers. The purpose of this study is to give an overview of teachers' current pedagogical mathematical…

Vicissitudes of Children's Mathematical Knowledge: Implications of Developmental Research for Early Childhood Mathematics Education

ERIC Educational Resources Information Center

Sophian, Catherine

2013-01-01

Hachey's (2013) article celebrates a revolution that is taking place in early childhood mathematics education, fueled in part by developmental research demonstrating the mathematical capabilities of young children. At the same time, Hachey notes that the mathematics revolution she describes is not yet complete. In this commentary, the author…

A Longitudinal Assessment of Early Acceleration of Students in Mathematics on Growth in Mathematics Achievement

ERIC Educational Resources Information Center

Ma, X.

2005-01-01

Early acceleration of students in mathematics (in the form of early access to formal abstract algebra) has been a controversial educational issue. The current study examined the rate of growth in mathematics achievement of accelerated gifted, honors, and regular students across the entire secondary years (Grades 7-12), in comparison to their…

Middle School Mathematics Teachers' Use of CCSSM and Curriculum Resources in Planning Lessons

ERIC Educational Resources Information Center

McDuffie, Amy Roth; Choppin, Jeffrey; Drake, Corey; Davis, Jon; Brown, Jennifer; Borys, Zenon

2017-01-01

As part of a larger study, we report findings on teachers' use of the Common Core State Standards for Mathematics (CCSSM) and teacher resources (TR) that were included with teachers' published curriculum programs. We analyzed 147 lesson planning interviews with 20 middle school teachers to understand how teachers interpreted and enacted the CCSSM…

Coaching in Early Mathematics.

PubMed

Germeroth, Carrie; Sarama, Julie

2017-01-01

Falling scores in math have prompted a renewed interest in math instruction at early ages. By their own admission, early childhood educators are generally underprepared and not always comfortable teaching math. Professional development (PD) in early mathematics is widely considered a main way to increase teachers' skills and efficacy (e.g., Guskey, 2000; Hyson & Woods, 2014; Munby, Russell, & Martin, 2001; Piasta, Logan, Pelatti, Capps, & Petrill, 2015; Richardson & Placier, 2001; Sarama, Clements, Wolfe, & Spitler, 2016; Sarama & DiBiase, 2004; Zaslow, 2014). However, it has been documented that stand-alone PD is not as effective in changing practice (e.g., Biancarosa & Bryk, 2011; Garet et al., 2008; Guskey, 2000; Hyson & Woods, 2014; Institute of Medicine and National Research Council, 2015; Joyce & Showers, 2002; Zaslow, 2014). Site-embedded ongoing support in the form of coaching or mentoring has been shown to be critical for successful implementation (Neuman & Cunningham, 2009; Powell, Diamond, Burchinal, & Koehler, 2010). In this chapter, we describe coaching models and abstract characteristics of effective coaching from the research. With this background, we provide an in-depth view of the coaching aspect of two large empirical studies in early mathematics. We introduce the theoretical framework from which the coaching models for these projects were developed and describe the research on which they were based. We then summarize how the planned models were instantiated and challenges to their implementation within each project. In the final section, we summarize what we have learned and described implications and challenges for the field. © 2017 Elsevier Inc. All rights reserved.

La Evolucion del Curriculo de las Matematicas: Un Folleto para los Padres de Familia. (The Changing Mathematics Curriculum: A Booklet for Parents).

ERIC Educational Resources Information Center

California State Dept. of Education, Sacramento.

This booklet, written in Spanish, provides a guide for parents to help their children become successful in school mathematics. The information is divided into four sections: (1) important facts about the mathematics curriculum and mathematics instruction; (2) expectations about participation, calculators, cooperative learning, dialogue, and…

Early numerical foundations of young children's mathematical development.

PubMed

Chu, Felicia W; vanMarle, Kristy; Geary, David C

2015-04-01

This study focused on the relative contributions of the acuity of the approximate number system (ANS) and knowledge of quantitative symbols to young children's early mathematical learning. At the beginning of preschool, 191 children (Mage=46 months) were administered tasks that assessed ANS acuity and explicit knowledge of the cardinal values represented by number words, and their mathematics achievement was assessed at the end of the school year. Children's executive functions, intelligence, and preliteracy skills and their parents' educational levels were also assessed and served as covariates. Both the ANS and cardinality tasks were significant predictors of end-of-year mathematics achievement with and without control of the covariates. As simultaneous predictors and with control of the covariates, cardinality remained significantly related to mathematics achievement, but ANS acuity did not. Mediation analyses revealed that the relation between ANS acuity and mathematics achievement was fully mediated by cardinality, suggesting that the ANS may facilitate children's explicit understanding of cardinal value and in this way may indirectly influence early mathematical learning. Copyright © 2015 Elsevier Inc. All rights reserved.

The Early Prevention of Mathematics Difficulty: Its Power and Limitations

PubMed Central

Fuchs, Lynn S.; Fuchs, Douglas; Compton, Donald L.

2012-01-01

In this article, the authors consider the power and limitations of responsiveness-to-intervention (RTI) for reducing the need for ongoing and intensive services for the segment of the school population traditionally identified as having a learning disability in mathematics. To assess the robustness of RTI, the authors describe four studies with strong demonstrations of efficacy, as they considered the percentage of students who failed to respond, the post-tutoring achievement gap between tutored and not-at-risk students, and the extent of transfer across components of the mathematics curriculum. The authors then discuss implications and additional research questions pertaining to mathematics intervention generally and within the context of RTI. They conclude with a proposal for an expanded conceptualization of RTI. PMID:22491809

The early prevention of mathematics difficulty: its power and limitations.

PubMed

Fuchs, Lynn S; Fuchs, Douglas; Compton, Donald L

2012-01-01

In this article, the authors consider the power and limitations of responsiveness-to-intervention (RTI) for reducing the need for ongoing and intensive services for the segment of the school population traditionally identified as having a learning disability in mathematics. To assess the robustness of RTI, the authors describe four studies with strong demonstrations of efficacy, as they considered the percentage of students who failed to respond, the post-tutoring achievement gap between tutored and not-at-risk students, and the extent of transfer across components of the mathematics curriculum. The authors then discuss implications and additional research questions pertaining to mathematics intervention generally and within the context of RTI. They conclude with a proposal for an expanded conceptualization of RTI.

The Relation Between Inattentive and Hyperactive/Impulsive Behaviors and Early Mathematics Skills.

PubMed

Sims, Darcey M; Purpura, David J; Lonigan, Christopher J

2016-08-01

Despite strong evidence that inattentive and hyperactive/impulsive behaviors are associated with mathematical difficulties in school-age children, little research has been conducted to examine the link between these constructs before the start of formal education. The purpose of this study was to examine how different manifestations of inattentive and hyperactive/impulsive behaviors, as measured by different assessment tools, are related to early mathematics skills in preschoolers. Eighty-two preschool children completed a measure of early mathematics and the Continuous Performance Test (CPT). Teachers rated children's behaviors using the Conners' Teacher Rating Scale-15 Item. Sixty-five of these children completed mathematics assessments 1 year later. Teacher ratings of inattention were uniquely related to concurrent early mathematics skills, whereas CPT errors were uniquely predictive of early mathematics skills 1 year later. Findings have implications for the understanding and assessment of behavior problems that are associated with early mathematics difficulties. © The Author(s) 2012.

Mathematics, the Computer, and the Impact on Mathematics Education.

ERIC Educational Resources Information Center

Tooke, D. James

2001-01-01

Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)

Curriculum for the Special Education Early Childhood Center.

ERIC Educational Resources Information Center

Taulbee, Dianne R.; And Others

This document presents Jackson County (Michigan) Intermediate School District's Special Education Early Childhood Center's 1988 curriculum. Sections focus on: (1) the center's program; (2) play observation; (3) eligibility; (4) classroom structure and function; (5) the importance of play; (6) developmental milestones; (7) planning and teaching…

Supporting Kindergarten Teachers' Mathematics Instruction and Student Achievement through a Curriculum-Based Professional Development Program

ERIC Educational Resources Information Center

Polly, Drew; Wang, Chuang; Lambert, Richard; Martin, Christie; McGee, Jennifer Richardson; Pugalee, David; Lehew, Amy

2017-01-01

This study investigates the impacts of a year-long professional development program on Kindergarten teachers' beliefs and practices and the association of these changes with student achievement in mathematics measured by curriculum-based instruments. Although teacher content knowledge was not statistically significantly different before and after…

Exploring the Associations among Nutrition, Science, and Mathematics Knowledge for an Integrative, Food-Based Curriculum

ERIC Educational Resources Information Center

Stage, Virginia C.; Kolasa, Kathryn M.; Díaz, Sebastián R.; Duffrin, Melani W.

2018-01-01

Background: Explore associations between nutrition, science, and mathematics knowledge to provide evidence that integrating food/nutrition education in the fourth-grade curriculum may support gains in academic knowledge. Methods: Secondary analysis of a quasi-experimental study. Sample included 438 students in 34 fourth-grade classrooms across…

Using a Video-Based Curriculum to Develop a Reflective Stance in Prospective Mathematics Teachers

ERIC Educational Resources Information Center

Stockero, Shari L.

2008-01-01

Although video cases are increasingly being used in teacher education as a means of situating learning and developing habits of reflection, there has been little evidence of the outcomes of such use. This study investigates the effects of using a coherent video-case curriculum in a university mathematics methods course by addressing two issues:…

Science as the Center of a Coherent, Integrated Early Childhood Curriculum

ERIC Educational Resources Information Center

French, Lucia

2004-01-01

This article describes the ScienceStart! Curriculum, an early childhood curriculum that takes coherently organized science content as the hub of an integrated approach. ScienceStart! maps onto the typical preschool day and may be adapted for use in full-day or half-day preschool programs. It is designed to support the important developmental…

A Study of School Mathematics Curriculum Enacted by Competent Teachers in Singapore Secondary Schools

ERIC Educational Resources Information Center

Kaur, Berinderjeet; Tay, Eng Guan; Toh, Tin Lam; Leong, Yew Hoong; Lee, Ngan Hoe

2018-01-01

A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools is a programmatic research project at the National Institute of Education (NIE) funded by the Ministry of Education (MOE) in Singapore through the Office of Education Research (OER) at NIE. The main goal of the project is to collect a set of data…

A Five-Year Study of the First Edition of the Core-Plus Mathematics Curriculum

ERIC Educational Resources Information Center

Schoen, Harold, Ed.; Ziebarth, Steven W., Ed.; Hirsch, Christian R., Ed.; BrckaLorenz, Allison, Ed.

2010-01-01

The study reported in this volume adds to the growing body of evaluation studies that focus on the use of NSF-funded Standards-based high school mathematics curricula. Most previous evaluations have studied the impact of field-test versions of a curriculum. Since these innovative curricula were so new at the time of many of these studies, students…

Making Connections: A "Number Curriculum" for Preschoolers.

ERIC Educational Resources Information Center

Shane, Ruth

This paper discusses a one-page curriculum outline for a preschool mathematics program in Israel. The curriculum was developed in the course of preservice and inservice teacher education programs in Israel, and the mathematics activities offered to support the curriculum were developed by student teachers there. The curriculum starts from…

Integrated Pest Management: A Curriculum for Early Care and Education Programs

ERIC Educational Resources Information Center

California Childcare Health Program, 2011

2011-01-01

This "Integrated Pest Management Toolkit for Early Care and Education Programs" presents practical information about using integrated pest management (IPM) to prevent and manage pest problems in early care and education programs. This curriculum will help people in early care and education programs learn how to keep pests out of early…

Race/Ethnicity and Early Mathematics Skills: Relations between Home, Classroom, and Mathematics Achievement

ERIC Educational Resources Information Center

Sonnenschein, Susan; Galindo, Claudia

2015-01-01

This study used Early Childhood Longitudinal Study-Kindergarten Cohort data to examine influences of the home and classroom learning environments on kindergarten mathematics achievement of Black, Latino, and White children. Regardless of race/ethnicity, children who started kindergarten proficient in mathematics earned spring scores about 7-8…

Teachers' Evaluations and Use of Web-Based Curriculum Resources in Relation to the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Webel, Corey; Krupa, Erin E.; McManus, Jason

2015-01-01

This study examines patterns in how a group of fifth- and sixth-grade teachers evaluated and reported using different types of curriculum resources to support their teaching in relation to the mathematical concepts outlined in the Common Core State Standards for Mathematics. In particular, it explores the use of resources that were available to…

Developing a Learning Progression for Curriculum, Instruction, and Student Learning: An Example from Mathematics Education

ERIC Educational Resources Information Center

Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Isler, Isil; Knuth, Eric; Gardiner, Angela Murphy

2018-01-01

Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…

Comprehensive Instructional Management System (CIMS). A Cyclical Mathematics Curriculum. Workbook Part 2. Experimental. Level K.

ERIC Educational Resources Information Center

New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.

This document is part 2 of the workbook for kindergarten pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

Investigation of the Effectiveness of Teacher-Education Curriculum in Primary School Mathematics in Tanzania Mainland. African Studies in Curriculum Development & Evaluation. No. 64.

ERIC Educational Resources Information Center

Masota, Laurent Anatoly

An investigation was made of the effectiveness of the teacher education curriculum for primary school mathematics teachers in Tanzania. Subjects were a random sample of 8 teacher trainees in each of 4 selected colleges, as well as 4 school principals, 12 tutors, and 16 serving teachers. Data were gathered by means of questionnaires and…

SYMBIOSIS: development, implementation, and assessment of a model curriculum across biology and mathematics at the introductory level.

PubMed

Depelteau, Audrey M; Joplin, Karl H; Govett, Aimee; Miller, Hugh A; Seier, Edith

2010-01-01

"It takes a lot of courage to release the familiar and seemingly secure, to embrace the new. But there is no real security in what is no longer meaningful. There is more security in the adventurous and exciting, for in movement there is life, and in change there is power." Alan Cohen (Used by permission. All rights reserved. For more information on Alan Cohen's books and programs, see (www.alancohen.com.) With the support of the East Tennessee State University (ETSU) administration and a grant from Howard Hughes Medical Institute, the departments of Biological Sciences, Mathematics and Statistics, and Curriculum and Instruction have developed a biology-math integrated curriculum. An interdisciplinary faculty team, charged with teaching the 18 curriculum modules, designed this three-semester curriculum, known as SYMBIOSIS. This curriculum was piloted to two student cohorts during the developmental stage. The positive feedback and assessment results of this project have given us the foundation to implement the SYMBIOSIS curriculum as a replacement for the standard biology majors curriculum at the introductory level. This article addresses the history and development of the curriculum, previous assessment results and current assessment protocol, and the future of ETSU's approach to implementing the SYMBIOSIS curriculum.

SYMBIOSIS: Development, Implementation, and Assessment of a Model Curriculum across Biology and Mathematics at the Introductory Level

PubMed Central

Joplin, Karl H.; Govett, Aimee; Miller, Hugh A.; Seier, Edith

2010-01-01

“It takes a lot of courage to release the familiar and seemingly secure, to embrace the new. But there is no real security in what is no longer meaningful. There is more security in the adventurous and exciting, for in movement there is life, and in change there is power.”Alan Cohen (Used by permission. All rights reserved. For more information on Alan Cohen's books and programs, see (www.alancohen.com.) With the support of the East Tennessee State University (ETSU) administration and a grant from Howard Hughes Medical Institute, the departments of Biological Sciences, Mathematics and Statistics, and Curriculum and Instruction have developed a biology–math integrated curriculum. An interdisciplinary faculty team, charged with teaching the 18 curriculum modules, designed this three-semester curriculum, known as SYMBIOSIS. This curriculum was piloted to two student cohorts during the developmental stage. The positive feedback and assessment results of this project have given us the foundation to implement the SYMBIOSIS curriculum as a replacement for the standard biology majors curriculum at the introductory level. This article addresses the history and development of the curriculum, previous assessment results and current assessment protocol, and the future of ETSU's approach to implementing the SYMBIOSIS curriculum. PMID:20810967

Resilience in mathematics after early brain injury: The roles of parental input and early plasticity.

PubMed

Glenn, Dana E; Demir-Lira, Özlem Ece; Gibson, Dominic J; Congdon, Eliza L; Levine, Susan C

2018-04-01

Children with early focal unilateral brain injury show remarkable plasticity in language development. However, little is known about how early brain injury influences mathematical learning. Here, we examine early number understanding, comparing cardinal number knowledge of typically developing children (TD) and children with pre- and perinatal lesions (BI) between 42 and 50 months of age. We also examine how this knowledge relates to the number words children hear from their primary caregivers early in life. We find that children with BI, are, on average, slightly behind TD children in both cardinal number knowledge and later mathematical performance, and show slightly slower learning rates than TD children in cardinal number knowledge during the preschool years. We also find that parents' "number talk" to their toddlers predicts later mathematical ability for both TD children and children with BI. These findings suggest a relatively optimistic story in which neural plasticity is at play in children's mathematical development following early brain injury. Further, the effects of early number input suggest that intervening to enrich the number talk that children with BI hear during the preschool years could narrow the math achievement gap. Copyright © 2017 The Authors. Published by Elsevier Ltd.. All rights reserved.

Uncertainty in Mathematics Teaching: The National Curriculum Experiment in Teaching Probability to Primary Pupils

ERIC Educational Resources Information Center

Threlfall, John

2004-01-01

During the 1980s and 1990s, the quantity of probability being taught in mathematics lessons in primary schools in England and Wales went from minimal to extensive and back again. A great deal of effort was invested in a project to incorporate probability into the primary curriculum that has now almost been abandoned. In this article I will attempt…

Integration of Technology, Curriculum, and Professional Development for Advancing Middle School Mathematics: Three Large-Scale Studies

ERIC Educational Resources Information Center

Roschelle, Jeremy; Shechtman, Nicole; Tatar, Deborah; Hegedus, Stephen; Hopkins, Bill; Empson, Susan; Knudsen, Jennifer; Gallagher, Lawrence P.

2010-01-01

The authors present three studies (two randomized controlled experiments and one embedded quasi-experiment) designed to evaluate the impact of replacement units targeting student learning of advanced middle school mathematics. The studies evaluated the SimCalc approach, which integrates an interactive representational technology, paper curriculum,…

Multiple Literacies, Curriculum, and Instruction in Early Childhood and Elementary School

ERIC Educational Resources Information Center

Larson, Joanne

2006-01-01

This article describes some implications of using a multiple literacies perspective in the construction and implementation of literacy curriculum, pedagogy, and assessment in early childhood and elementary classrooms. After briefly laying out a theoretical perspective in sections focusing on early literacy, academic learning, literacy beyond…

Implementing a Robotics Curriculum in an Early Childhood Montessori Classroom

ERIC Educational Resources Information Center

Elkin, Mollie; Sullivan, Amanda; Bers, Marina Umaschi

2014-01-01

This paper explores how robotics can be used as a new educational tool in a Montessori early education classroom. It presents a case study of one early educator's experience of designing and implementing a robotics curriculum integrated with a social science unit in her mixed-age classroom. This teacher had no prior experience using robotics in…

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education. Studies in Mathematical Thinking and Learning Series

ERIC Educational Resources Information Center

Clements, Douglas H., Ed.; DiBiase, Ann-Marie, Ed.; Sarama, Julie, Ed.

2004-01-01

This book brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's…

Interventions in Early Mathematics: Avoiding Pollution and Dilution.

PubMed

Sarama, Julie; Clements, Douglas H

2017-01-01

Although specific interventions in early mathematics have been successful, few have been brought to scale successfully, especially across the challenging diversity of populations and contexts in the early childhood system in the United States. In this chapter, we analyze a theoretically based scale-up model for early mathematics that was designed to avoid the pollution and dilution that often plagues efforts to achieve broad success. We elaborate the theoretical framework by noting the junctures that are susceptible to dilution or pollution. Then we expatiate the model's guidelines to describe specifically how they were designed and implemented to mitigate pollution and dilution. Finally, we provide evidence regarding the success of these efforts. © 2017 Elsevier Inc. All rights reserved.

Early math matters: kindergarten number competence and later mathematics outcomes.

PubMed

Jordan, Nancy C; Kaplan, David; Ramineni, Chaitanya; Locuniak, Maria N

2009-05-01

Children's number competencies over 6 time points, from the beginning of kindergarten to the middle of 1st grade, were examined in relation to their mathematics achievement over 5 later time points, from the end of 1st grade to the end of 3rd grade. The relation between early number competence and mathematics achievement was strong and significant throughout the study period. A sequential process growth curve model showed that kindergarten number competence predicted rate of growth in mathematics achievement between 1st and 3rd grades as well as achievement level through 3rd grade. Further, rate of growth in early number competence predicted mathematics performance level in 3rd grade. Although low-income children performed more poorly than their middle-income counterparts in mathematics achievement and progressed at a slower rate, their performance and growth were mediated through relatively weak kindergarten number competence. Similarly, the better performance and faster growth of children who entered kindergarten at an older age were explained by kindergarten number competence. The findings show the importance of early number competence for setting children's learning trajectories in elementary school mathematics. Copyright 2009 APA, all rights reserved

Early Math Matters: Kindergarten Number Competence and Later Mathematics Outcomes

PubMed Central

Jordan, Nancy C.; Kaplan, David; Ramineni, Chaitanya; Locuniak, Maria N.

2009-01-01

Children’s number competencies over 6 time points, from the beginning of kindergarten to the middle of 1st grade, were examined in relation to their mathematics achievement over 5 later time points, from the end of 1st grade to the end of 3rd grade. The relation between early number competence and mathematics achievement was strong and significant throughout the study period. A sequential process growth curve model showed that kindergarten number competence predicted rate of growth in mathematics achievement between 1st and 3rd grades as well as achievement level through 3rd grade. Further, rate of growth in early number competence predicted mathematics performance level in 3rd grade. Although low-income children performed more poorly than their middle-income counterparts in mathematics achievement and progressed at a slower rate, their performance and growth were mediated through relatively weak kindergarten number competence. Similarly, the better performance and faster growth of children who entered kindergarten at an older age were explained by kindergarten number competence. The findings show the importance of early number competence for setting children’s learning trajectories in elementary school mathematics. PMID:19413436

Destrezas de Matematica: Curriculo Basico. Guia para el Maestro (Mathematics Skills: Basic Curriculum. Teacher's Guide).

ERIC Educational Resources Information Center

Puerto Rico State Dept. of Education, Hato Rey. Office of Special Education.

The fundamental importance of basic mathematics to daily life is emphasized in this teacher's guide for special education teachers in Puerto Rico. While it is necessary for the teacher to determine the needs and abilities of each student and adapt the curriculum accordingly, this guide presents, in Spanish, a set of lesson plans, each with an…

Early identification and interventions for students with mathematics difficulties.

PubMed

Gersten, Russell; Jordan, Nancy C; Flojo, Jonathan R

2005-01-01

This article highlights key findings from the small body of research on mathematics difficulties (MD) relevant to early identification and early intervention. The research demonstrates that (a) for many children, mathematics difficulties are not stable over time; (b) the presence of reading difficulties seems related to slower progress in many aspects of mathematics; (c) almost all students with MD demonstrate problems with accurate and automatic retrieval of basic arithmetic combinations, such as 6 + 3. The following measures appear to be valid and reliable indicators of potential MD in kindergartners: (a) magnitude comparison (i.e., knowing which digit in a pair is larger), (b) sophistication of counting strategies, (c) fluent identification of numbers, and (d) working memory (as evidenced by reverse digit span). These are discussed in terms of the components of number sense. Implications for early intervention strategies are explored.

An interdisciplinary collaboration between computer engineering and mathematics/bilingual education to develop a curriculum for underrepresented middle school students

NASA Astrophysics Data System (ADS)

Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel

2013-12-01

There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to address this need. We describe our work through the Advancing Out-of-School Learning in Mathematics and Engineering project by illustrating how an integrated curriculum that is based on mathematics with applications in image and video processing can be designed and how it can be implemented with middle school students from underrepresented groups.

Articulating "Understanding": Deploying Mathematical Cognition

ERIC Educational Resources Information Center

Maclellan, Effie

2014-01-01

Scotland's Curriculum for Excellence (CfE), constitutes the demands that teachers are supposed to meet. Its intentions for the mathematics curriculum are similar to those in many countries: that learners be sufficiently mathematically literate to use mathematics in the personal, professional and societal dimensions of their lives. But like many…

What Mathematics Education Can Learn from Art: The Assumptions, Values, and Vision of Mathematics Education

ERIC Educational Resources Information Center

Dietiker, Leslie

2015-01-01

Elliot Eisner proposed that educational challenges can be met by applying an artful lens. This article draws from Eisner's proposal to consider the assumptions, values, and vision of mathematics education by theorizing mathematics curriculum as an art form. By conceptualizing mathematics curriculum (both in written and enacted forms) as stories…

Curriculum in Early Childhood Education: Re-Examined, Rediscovered, Renewed

ERIC Educational Resources Information Center

File, Nancy, Ed.; Mueller, Jennifer J., Ed.; Wisneski, Debora Basler, Ed.

2011-01-01

This book provides a critical examination of the sources, aims, and features of early childhood curricula. Providing a theoretical and philosophical foundation for examining teaching and learning, this book will provoke discussion and analysis among all readers. How has theory been used to understand, develop, and critique curriculum? Whose…

A Guide for Supervisors and Trainers on Implementing "The Creative Curriculum for Early Childhood, Third Edition."

ERIC Educational Resources Information Center

Dodge, Diane Trister; And Others

This guide is designed for early childhood educators who are helping their staffs implement the Creative Curriculum for Early Childhood, a curriculum that is based on child development theory and is developmentally appropriate for preschool and kindergarten children. A carefully organized and rich environment serves as the focus of this…

Frameworks for Change: Four Recurrent Themes for Quality in Early Childhood Curriculum Initiatives

ERIC Educational Resources Information Center

Burgess, Jennifer; Fleet, Alma

2009-01-01

This paper reports on the first phase of a case study that investigated how early childhood teachers experience organisational change. As one of three levels of quality improvement, State government-funded curriculum initiatives were developed with an aim to promote change. Three curriculum documents, one each focusing on literacy, pedagogy and…

Mapping the Relationships among Basic Facts, Concepts and Application, and Common Core Curriculum-Based Mathematics Measures

ERIC Educational Resources Information Center

Codding, Robin S.; Mercer, Sterett; Connell, James; Fiorello, Catherine; Kleinert, Whitney

2016-01-01

There is a paucity of evidence supporting the use of curriculum-based mathematics measures (M-CBMs) at the middle school level, which makes data-based decisions challenging for school professionals. The purpose of this study was to examine the relationships among three existing M-CBM indices: (a) basic facts, (b) concepts/application, and (c)…

Early mathematical competencies and later achievement: insights from the Longitudinal Study of Australian Children

NASA Astrophysics Data System (ADS)

MacDonald, Amy; Carmichael, Colin

2017-11-01

International research suggests that early mathematical competence predicts later mathematical achievement. In this article, we explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and later results on Years 3, 5, 7 and 9 National Assessment Program - Literacy and Numeracy (NAPLAN) numeracy tests. Data from a nationally representative sample of 2343 children participating in the Longitudinal Study of Australian Children (LSAC) are examined. In line with international studies, we report moderate correlations between preschool-entry mathematics and later NAPLAN numeracy test results. However, analysis of individual growth trajectories indicates that early mathematics predicts the initial (Year 3) level, but not subsequent growth. This suggests that early mathematical competencies are important for enhancing achievement in early schooling, but that the quality of mathematics education provided in the schooling years is critical for future development.

Curriculum-Based Assessment, Socio-Demographic and Educational Measures as Predictors of Mathematics FCAT: Implications for Emancipatory Inquiry

ERIC Educational Resources Information Center

Behar-Horenstein, Linda S.; Hudson-Vassell, Michael; Hudson-Vassell, Charisse N.; Garvan, Cynthia W.

2015-01-01

Using critical lenses, this study examined the predictive value added of curriculum-based assessment (CBA), with socio-demographic and educational variables on the mathematics portion of Florida Comprehensive Assessment Test (FCAT). Gender, race, socio-economic status, and exceptional student education (ESE) were compared in a de-identified post…

Time-on-task, technology and mathematics achievement.

PubMed

Louw, Johann; Muller, Johan; Tredoux, Colin

2008-02-01

Information and communication technologies hold much promise for use in education in developing countries. This study reports on an evaluation conducted on the introduction of computers in the delivery of the mathematics curriculum in one of the provinces of South Africa. Although the request was for an outcome evaluation very early in the implementation of the program, it was tailored in such a way as to fulfill a more formative role. Despite substantial variability in implementation, and in most cases with very weak exposure of the learners to the intervention, sufficient evidence emerged to indicate that this mode of curriculum delivery may be effective. Improvement in mathematics performance was related to a range of variables: some concerned classroom teaching practices, some referred to social differences between the learners, and some to the specific intervention. The strongest of these predictors in the sample was the strength of the intervention: the more time learners spent on using the software to study mathematics, the more improvement they showed from 1 year to the next in their performance in the subject.

School Mathematics Leaders' Perceptions of Successes and Challenges of Their Leadership Role within a Mathematics Improvement Project

ERIC Educational Resources Information Center

Sexton, Matt; Downton, Ann

2014-01-01

The mathematics curriculum leader plays an important role in leading the mathematics curriculum in primary schools. They experience successes and face challenges associated with this leadership role. The perceptions that 25 mathematics leaders held about the successes and challenges they experienced whilst participating in a school mathematics…

Using Mathematical Analyses Activities to Improve Manipulative Discrimination in Early Childhood Teacher Education

ERIC Educational Resources Information Center

Ertle, Barbrina B.

2017-01-01

This article reports on the findings of manipulative analyses performed by preservice and in-service teachers in an early childhood teacher education program mathematics methods course. The activities are intended to model and promote mathematical analyses for better discrimination between mathematics manipulatives by early childhood teachers.…

Mobile Learning and Early Age Mathematics

ERIC Educational Resources Information Center

Peled, Shir; Schocken, Shimon

2014-01-01

The ability to develop engaging simulations and constructive learning experiences using mobile devices is unprecedented, presenting a disruption in educational practices of historical proportions. In this paper we describe some of the unique virtues that mobile learning hold for early age mathematics education. In particular, we describe how…

Analyses of Children's Mathematics Proficiency from ECLS-K 1998 and 2010 Cohorts: Why Early Mathematics?

ERIC Educational Resources Information Center

Lee, Joohi; Pant, Mohan D.

2017-01-01

This article presents the correlation analyses of mathematics item response theory scores from the Early Childhood Longitudinal Study, Kindergarten Class of 1998 and 2010 data, and proposes the critical need for systematic efforts to improve the quality of pre- and in-service teachers of young children in teaching mathematics.

Identifying Differences in Early Mathematical Skills among Children in Head Start

ERIC Educational Resources Information Center

Wu, Qiong; Lei, Pui-wa; DiPerna, James C.; Morgan, Paul L.; Reid, Erin E.

2015-01-01

The purpose of this study was to examine early mathematical skill differences among preschool children in US Head Start classrooms. Latent class analysis based on six early mathematical subtest scores (i.e. counting aloud, measurement, counting objects, numbers and shapes, pattern recognition, and grouping) from a sample of 279 Head Start children…

An Exploration of Teachers' Attitudes and Beliefs about the Reform of an Eighth Grade Math Curriculum from an Integrated Math Curriculum to a Core Math Curriculum

ERIC Educational Resources Information Center

Marion, Carol

2010-01-01

The purpose of this study was to obtain the attitudes and beliefs of mathematics teachers in the School District of Philadelphia regarding an eighth grade middle school mathematics core curriculum. This study explored the attitudes and beliefs of teachers in the reform of an eighth grade math "Core Curriculum, Math In Context" (School…

New Directions for Mathematics Instruction. 1989 Yearbook.

ERIC Educational Resources Information Center

Blume, Glendon W., Ed.; Heid, M. Kathleen, Ed.

This yearbook discusses instructional approaches that are consistent with the reformulation of the school mathematics curriculum by the National Council of Teachers of Mathematics (NCTM). Articles included cover: (1) Pennsylvania standards for mathematics programs (including goals, curriculum, instruction, evaluation, teachers, and…

Mathematical models to characterize early epidemic growth: A Review

PubMed Central

Chowell, Gerardo; Sattenspiel, Lisa; Bansal, Shweta; Viboud, Cécile

2016-01-01

There is a long tradition of using mathematical models to generate insights into the transmission dynamics of infectious diseases and assess the potential impact of different intervention strategies. The increasing use of mathematical models for epidemic forecasting has highlighted the importance of designing reliable models that capture the baseline transmission characteristics of specific pathogens and social contexts. More refined models are needed however, in particular to account for variation in the early growth dynamics of real epidemics and to gain a better understanding of the mechanisms at play. Here, we review recent progress on modeling and characterizing early epidemic growth patterns from infectious disease outbreak data, and survey the types of mathematical formulations that are most useful for capturing a diversity of early epidemic growth profiles, ranging from sub-exponential to exponential growth dynamics. Specifically, we review mathematical models that incorporate spatial details or realistic population mixing structures, including meta-population models, individual-based network models, and simple SIR-type models that incorporate the effects of reactive behavior changes or inhomogeneous mixing. In this process, we also analyze simulation data stemming from detailed large-scale agent-based models previously designed and calibrated to study how realistic social networks and disease transmission characteristics shape early epidemic growth patterns, general transmission dynamics, and control of international disease emergencies such as the 2009 A/H1N1 influenza pandemic and the 2014-15 Ebola epidemic in West Africa. PMID:27451336

Mathematical models to characterize early epidemic growth: A review

NASA Astrophysics Data System (ADS)

Chowell, Gerardo; Sattenspiel, Lisa; Bansal, Shweta; Viboud, Cécile

2016-09-01

There is a long tradition of using mathematical models to generate insights into the transmission dynamics of infectious diseases and assess the potential impact of different intervention strategies. The increasing use of mathematical models for epidemic forecasting has highlighted the importance of designing reliable models that capture the baseline transmission characteristics of specific pathogens and social contexts. More refined models are needed however, in particular to account for variation in the early growth dynamics of real epidemics and to gain a better understanding of the mechanisms at play. Here, we review recent progress on modeling and characterizing early epidemic growth patterns from infectious disease outbreak data, and survey the types of mathematical formulations that are most useful for capturing a diversity of early epidemic growth profiles, ranging from sub-exponential to exponential growth dynamics. Specifically, we review mathematical models that incorporate spatial details or realistic population mixing structures, including meta-population models, individual-based network models, and simple SIR-type models that incorporate the effects of reactive behavior changes or inhomogeneous mixing. In this process, we also analyze simulation data stemming from detailed large-scale agent-based models previously designed and calibrated to study how realistic social networks and disease transmission characteristics shape early epidemic growth patterns, general transmission dynamics, and control of international disease emergencies such as the 2009 A/H1N1 influenza pandemic and the 2014-2015 Ebola epidemic in West Africa.

Bypass, Augment, or Integrate: How Secondary Mathematics Teachers Address the Literacy Demands of Standards-Based Curriculum Materials

ERIC Educational Resources Information Center

Chandler-Olcott, Kelly; Doerr, Helen M.; Hinchman, Kathleen A.; Masingila, Joanna O.

2015-01-01

This 3-year qualitative study examined how 26 teachers in four U.S. secondary schools addressed the literacy demands of curriculum materials based on standards from the National Council of Teachers of Mathematics. It was grounded in sociocultural perspectives that encourage study of language in local contexts, including classrooms, communities,…

Business Mathematics Curriculum Guide.

ERIC Educational Resources Information Center

Ebersole, Benjamin P., Comp.; And Others

This revised course in business mathematics emphasizes computations needed for problem solving, but greater attention is focused on mathematical principles that were developed in previous grades. In addition, the course aims to develop further an understanding of business principles and practices which can be used in gainful employment and in the…

Longitudinal study of low and high achievers in early mathematics.

PubMed

Navarro, Jose I; Aguilar, Manuel; Marchena, Esperanza; Ruiz, Gonzalo; Menacho, Inmaculada; Van Luit, Johannes E H

2012-03-01

Longitudinal studies allow us to identify, which specific maths skills are weak in young children, and whether there is a continuing weakness in these areas throughout their school years. This 2-year study investigated whether certain socio-demographic variables affect early mathematical competency in children aged 5-7 years. A randomly selected sample of 127 students (64 female; 63 male) participated. At the start of the study, the students were approximately 5 years old (M= 5.2; SD= 0.28; range = 4.5-5.8). The students were assessed using the Early Numeracy Test and then allocated to a high (n= 26), middle (n= 76), or low (n= 25) achievers group. The same children were assessed again with the Early Numeracy Test at 6 and 7 years old, respectively. Eight socio-demographic characteristics were also evaluated: family model, education of the parent(s), job of the parent(s), number of family members, birth order, number of computers at home, frequency of teacher visits, and hours watching television. Early Numeracy Test scores were more consistent for the high-achievers group than for the low-achievers group. Approximately 5.5% of low achievers obtained low scores throughout the study. A link between specific socio-demographic characteristics and early achievement in mathematics was only found for number of computers at home. The level of mathematical ability among students aged 5-7 years remains relatively stable regardless of the initial level of achievement. However, early screening for mathematics learning disabilities could be useful in helping low-achieving students overcome learning obstacles. ©2011 The British Psychological Society.

Mathematical biology modules based on modern molecular biology and modern discrete mathematics.

PubMed

Robeva, Raina; Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network.

Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

PubMed Central

Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. PMID:20810955

Development of early mathematical skills with a tablet intervention: a randomized control trial in Malawi.

PubMed

Pitchford, Nicola J

2015-01-01

Evaluation of educational interventions is necessary prior to wide-scale rollout. Yet very few rigorous studies have been conducted on the effectiveness of tablet-based interventions, especially in the early years and in developing countries. This study reports a randomized control trial to evaluate the effectiveness of a tablet intervention for supporting the development of early mathematical skills in primary school children in Malawi. A total sample of 318 children, spanning Standards 1-3, attending a medium-sized urban primary school, were randomized to one of three groups: maths tablet intervention, non-maths tablet control, and standard face-to-face practice. Children were pre-tested using tablets at the start of the school year on two tests of mathematical knowledge and a range of basic skills related to scholastic progression. Class teachers then delivered the intervention over an 8-weeks period, for the equivalent of 30-min per day. Technical support was provided from the local Voluntary Service Overseas (VSO). Children were then post-tested on the same assessments as given at pre-test. A final sample of 283 children, from Standards 1-3, present at both pre- and post-test, was analyzed to investigate the effectiveness of the maths tablet intervention. Significant effects of the maths tablet intervention over and above standard face-to-face practice or using tablets without the maths software were found in Standards 2 and 3. In Standard 3 the greater learning gains shown by the maths tablet intervention group compared to both of the control groups on the tablet-based assessments transferred to paper and pencil format, illustrating generalization of knowledge gained. Thus, tablet technology can effectively support early years mathematical skills in developing countries if the software is carefully designed to engage the child in the learning process and the content is grounded in a solid well-constructed curriculum appropriate for the child's developmental

Development of early mathematical skills with a tablet intervention: a randomized control trial in Malawi

PubMed Central

Pitchford, Nicola J.

2015-01-01

Evaluation of educational interventions is necessary prior to wide-scale rollout. Yet very few rigorous studies have been conducted on the effectiveness of tablet-based interventions, especially in the early years and in developing countries. This study reports a randomized control trial to evaluate the effectiveness of a tablet intervention for supporting the development of early mathematical skills in primary school children in Malawi. A total sample of 318 children, spanning Standards 1–3, attending a medium-sized urban primary school, were randomized to one of three groups: maths tablet intervention, non-maths tablet control, and standard face-to-face practice. Children were pre-tested using tablets at the start of the school year on two tests of mathematical knowledge and a range of basic skills related to scholastic progression. Class teachers then delivered the intervention over an 8-weeks period, for the equivalent of 30-min per day. Technical support was provided from the local Voluntary Service Overseas (VSO). Children were then post-tested on the same assessments as given at pre-test. A final sample of 283 children, from Standards 1–3, present at both pre- and post-test, was analyzed to investigate the effectiveness of the maths tablet intervention. Significant effects of the maths tablet intervention over and above standard face-to-face practice or using tablets without the maths software were found in Standards 2 and 3. In Standard 3 the greater learning gains shown by the maths tablet intervention group compared to both of the control groups on the tablet-based assessments transferred to paper and pencil format, illustrating generalization of knowledge gained. Thus, tablet technology can effectively support early years mathematical skills in developing countries if the software is carefully designed to engage the child in the learning process and the content is grounded in a solid well-constructed curriculum appropriate for the child�

Matematicas en la vida actual. Volumen II, edicion para el maestro. (Mathematics: A Practical View. Volume II, Teacher Edition). Applied Basic Curriculum Series.

ERIC Educational Resources Information Center

Evaluation, Dissemination and Assessment Center, Dallas.

This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

Matematicas en la vida actual. Volumen I, edicion para el maestro. (Mathematics: A Practical View. Volume I, Teacher Edition). Applied Basic Curriculum Series.

ERIC Educational Resources Information Center

Evaluation, Dissemination and Assessment Center, Dallas.

This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

Matematicas en la vida actual. Volumen III, edicion para el maestro. (Mathematics: A Practical View. Volume III, Teacher Edition). Applied Basic Curriculum Series.

ERIC Educational Resources Information Center

Evaluation, Dissemination and Assessment Center, Dallas.

This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

Guida Didattica per l'Insegnamento della Matematica. Livelli G, H = Mathematics Curriculum Guide for Italian-Speaking Students, Levels G and H. Working Draft.

ERIC Educational Resources Information Center

Chicago Board of Education, IL. Dept. of Curriculum.

The curriculum guide is for levels G and H of the mathematics segment of Chicago's bilingual education program for limited-English-speaking native Italian-speaking students. It includes specific instructional objectives and worksheets for teaching the mathematical concepts of place value, whole numbers, rational numbers, measurement, geometry, and…

An Early Mathematical Patterning Assessment: identifying young Australian Indigenous children's patterning skills

NASA Astrophysics Data System (ADS)

Papic, Marina

2015-12-01

This paper presents an Early Mathematical Patterning Assessment (EMPA) tool that provides early childhood educators with a valuable opportunity to identify young children's mathematical thinking and patterning skills through a series of hands-on and drawing tasks. EMPA was administered through one-to-one assessment interviews to children aged 4 to 5 years in the year prior to formal school. Two hundred and seventeen assessments indicated that the young low socioeconomic and predominantly Australian Indigenous children in the study group had varied patterning and counting skills. Three percent of the study group was able to consistently copy and draw an ABABAB pattern made with coloured blocks. Fifty percent could count to six by ones and count out six items with 4 % of the total group able to identify six items presented in regular formations without counting. The integration of patterning into early mathematics learning is critical to the abstraction of mathematical ideas and relationships and to the development of mathematical reasoning in young children. By using the insights into the children's thinking that the EMPA tool provides, early childhood educators can better inform mathematics teaching and learning and so help close the persistent gap in numeracy between Indigenous and non-Indigenous children.

Three Strategies for Opening Curriculum Spaces

ERIC Educational Resources Information Center

Drake, Corey; Land, Tonia J.; Bartell, Tonya Gau; Aguirre, Julia M.; Foote, Mary Q.; McDuffie, Amy Roth; Turner, Erin E.

2015-01-01

Many teachers experience the tension between using published curriculum materials and teaching in ways that are responsive to children. Teachers are often expected to use a particular mathematics curriculum series, but they still want to be able to build on and connect to children's multiple mathematical knowledge bases (MMKB).…

How Important Is Where You Start? Early Mathematics Knowledge and Later School Success

ERIC Educational Resources Information Center

Claessens, Amy; Engel, Mimi

2013-01-01

Background: Children's early skills are essential for their later success in school. Recent evidence highlights the importance of early mathematics, relative to reading and socioemotional skills, for elementary school achievement. Key advocacy groups for both early childhood and mathematics education have issued position statements on the…

Early Childhood Mathematics Education: The Critical Issue Is Change

ERIC Educational Resources Information Center

Hachey, Alyse C.

2013-01-01

In this response to commentaries, the author states that she chose the term "revolution" because it comes from the Latin word "revolutio," which means "a turn around." Leading researchers in the early 20th century were advocating that young children were mathematically inept and that mathematics education was useless before elementary school…

Dialogue on Early Childhood Science, Mathematics, and Technology Education.

ERIC Educational Resources Information Center

American Association for the Advancement of Science, Washington, DC.

Educators, scholars, and researchers in the United States convened at the Forum on Early Childhood Science, Mathematics, and Technology Education to discuss how, when, and even if science, mathematics, and technology should be taught to pre-kindergarten children. The product of that forum, this book summarizes some of the latest thinking about…

Reaching Potentials: Transforming Early Childhood Curriculum and Assessment. Volume 2.

ERIC Educational Resources Information Center

Bredekamp, Sue, Ed.; Rosegrant, Teresa, Ed.

This book builds on Volume 1 of "Reaching Potentials," which attempted to operationalize the "Guidelines for Appropriate Curriculum Content and Assessment" set by the National Association for the Education of Young Children (NAEYC) and the National Association of Early Childhood Specialists in State Departments of Education…

Embedding Research-Based Learning Early in the Undergraduate Geography Curriculum

ERIC Educational Resources Information Center

Walkington, Helen; Griffin, Amy L.; Keys-Mathews, Lisa; Metoyer, Sandra K.; Miller, Wendy E.; Baker, Richard; France, Derek

2011-01-01

This article considers the rationale for embedding research and enquiry skills early in the undergraduate geography curriculum and for making these skills explicit to students. A survey of 52 international geography faculty identified critical thinking, framing research questions, reflectivity and creativity as the most challenging research skills…

Developing and Evaluating a Kindergarten to Third Grade CBM Mathematics Assessment

ERIC Educational Resources Information Center

Lee, Young-Sun; Lembke, Erica

2016-01-01

The present study examined the technical adequacy of curriculum-based measurement (CBM) measure of early numeracy for kindergarten through third grade students. Our CBM measures were developed to reflect broad and theoretically derived categories of mathematical thinking: quick retrieval, written computation, and number sense. The mastery of these…

A Study of Mathematics Infusion in Middle School Technology Education Classes

ERIC Educational Resources Information Center

Burghardt, M. David; Hecht, Deborah; Russo, Maria; Lauckhardt, James; Hacker, Michael

2010-01-01

The present study examined the impact of introducing a mathematics infused engineering/technology education (ETE) curriculum on students' mathematics content knowledge and attitudes toward mathematics. The purpose of the present study was to: (a) compare the effects of a mathematics infused ETE curriculum and a control curriculum on student…

Mountain-Plains Curriculum.

ERIC Educational Resources Information Center

Mountain-Plains Education and Economic Development Program, Inc., Glasgow AFB, MT.

The document lists the Mountain-Plains curriculum by job title (where applicable), including support courses. The curriculum areas covered are mathematics skills, communication skills, office education, lodging services, food services, marketing and distribution, welding support, automotive, small engines, career guidance, World of Work, health…

Infusing Culturally Responsive Science Curriculum into Early Childhood Teacher Preparation

NASA Astrophysics Data System (ADS)

Yoon, Jiyoon; Martin, Leisa A.

2017-08-01

Previous research studies in early childhood teacher education have indicated that teacher candidates are not adequately prepared to demonstrate the knowledge and skills needed to teach science to all children including culturally and linguistically diverse students. To address this issue, the researchers provided 31 early childhood teacher candidates with instructions through a culturally responsive science education curriculum that integrates American and Korean science curriculum corresponding to the American and Korean standards for teacher education. The results showed a statistically significant increase in their Personal Science Teaching Efficacy (PSTE). In addition, the teacher candidates were able to create a multicultural/diverse lesson in the developing and proficiency levels based on Ambrosio's lesson matrix. This study provides teacher candidates' knowledge as well as an additional resource for developing their self-efficacy and understanding the role of multicultural/diverse lesson planning for science instruction. Also, teacher candidates could be better prepared by understanding how other countries approach science education and integrating this knowledge to enrich their own science instruction.

Mourning Child Grief Support Group Curriculum: Early Childhood Edition, Kindergarten-Grade 2.

ERIC Educational Resources Information Center

Lehmann, Linda; Jimerson, Shane R.; Gaasch, Ann

The Mourning Child Early Childhood grief support curriculum is intended for use with early elementary-aged children, specifically children in kindergarten through grade two, who have experienced the death of someone special to them. It is designed for use by professionals who work in schools, hospitals, hospices, mental health agencies, or any…

Mathematics Education in Secondary Schools and Two-Year Colleges. A Sourcebook.

ERIC Educational Resources Information Center

Campbell, Paul J.; Grinstein, Louise S.

The changing role of mathematics in society may require a different mathematics curriculum in the schools. Curriculum builders work constructing pieces of the new mathematics curriculum. To last, this new curriculum must be based on a foundation of experience and research. This book provides access to that foundation for secondary schools and…

Elementary Core Curriculum Standards: Levels K-3: Arts, Information Technology, Science, Language Arts, Mathematics, Social Studies, Health, Lifestyles.

ERIC Educational Resources Information Center

Utah State Office of Education, Salt Lake City.

Utah's 1987 minimum course description standards for students in kindergarten through third grade are provided in the required core curriculum areas of arts, information technology, science, language arts, mathematics, social studies, and healthy lifestyles. For each curricular area a rationale is given, followed by a brief course description…

Technical Adequacy of Early Numeracy Curriculum-Based Measurement in Kindergarten

ERIC Educational Resources Information Center

Martinez, Rebecca S.; Missall, Kristen N.; Graney, Suzanne Bamonto; Aricak, O. Tolga; Clarke, Ben

2009-01-01

The current study examines the technical adequacy of four Early Numeracy Curriculum-Based Measurement (EN-CBM) screening tasks: "Oral Counting" (OC), "Number Identification" (NI), "Quantity Discrimination" (QD), and "Missing Number" (MN). Results from 59 kindergarten students assessed in the fall and spring reveal moderate to high test-retest and…

MathBrowser: Web-Enabled Mathematical Software with Application to the Chemistry Curriculum, v 1.0

NASA Astrophysics Data System (ADS)

Goldsmith, Jack G.

1997-10-01

MathSoft: Cambridge, MA, 1996; free via ftp from www.mathsoft.com. The movement to provide computer-based applications in chemistry has come to focus on three main areas: software aimed at specific applications (drawing, simulation, data analysis, etc.), multimedia applications designed to assist in the presentation of conceptual information, and packages to be used in conjunction with a particular textbook at a specific point in the chemistry curriculum. The result is a situation where no single software package devoted to problem solving can be used across a large segment of the curriculum. Adoption of World Wide Web (WWW) technology by a manufacturer of mathematical software, however, has produced software that provides an attractive means of providing a problem-solving resource to students in courses from freshman through senior level.

"Let's Count": Improving Community Approaches to Early Years Mathematics Learning, Teaching and Dispositions through Noticing, Exploring and Talking about Mathematics

ERIC Educational Resources Information Center

Perry, Bob; Hampshire, Ann; Gervaxoni, Ann; O'Neill, Will

2016-01-01

"Let's Count" is a preschool mathematics intervention implemented by The Smith Family from 2012 to the present in "disdvantaged" communities across Australia. It is based on current mathematics and early childhood education research and aligns with the Early Years Learning Framework. Let's Count has been shown to be effective…

The same teacher, the same curriculum materials, different schools: What is the enacted curriculum?

NASA Astrophysics Data System (ADS)

Eisenmann, Tammy

This research examines how the same teacher implements the same curriculum material in two different schools. The aim of the study is to examine how the enacted algebra curriculum may change when the same teacher enacts the same written curriculum materials in different classes. This research comprises two case studies. Each case examines one teacher who taught the beginning of the mathematical topic "equivalent algebraic expressions", to two 7th grade classes from different schools. The same textbook was used in all four classes. The data collected includes: 1. Observations: 25930 lessons throughout the school year in each of the participating classes; Other mathematics classes in each of the schools; Other non9mathematics classes in the participating classes. A total of 130 lessons were observed. The observations included continuous observations of the teaching of "equivalent algebraic expressions" (15919 lessons) in each class. These observations are the main data source of this research; 2. Interviews with the teachers; 3. Informal conversations; and 4. Field notes. The data was analyzed both through quantitative and qualitative analysis. The research focuses on the following two aspects of the enacted curriculum: implementation of the recommendation that appeared in the curriculum materials and the types of algebraic activity that the students were exposed to during the teaching of the mathematical topic. Kieran's framework (Kieran, 1996, 2004), which distinguishes between three types of algebraic activities 9 generational, transformational and global/meta9level 9 was employed for the examination of the algebraic activities. Comparisons were made for two aspects of the research: between the enacted curriculum in each of the classes and the curriculum materials; and between each of the classes taught by same teacher. It was found that in case study 1, that examined teacher Sara and schools Carmel and Tavor -- most of the recommendations for instruction that

Early Math Trajectories: Low-Income Children's Mathematics Knowledge From Ages 4 to 11.

PubMed

Rittle-Johnson, Bethany; Fyfe, Emily R; Hofer, Kerry G; Farran, Dale C

2017-09-01

Early mathematics knowledge is a strong predictor of later academic achievement, but children from low-income families enter school with weak mathematics knowledge. An early math trajectories model is proposed and evaluated within a longitudinal study of 517 low-income American children from ages 4 to 11. This model includes a broad range of math topics, as well as potential pathways from preschool to middle grades mathematics achievement. In preschool, nonsymbolic quantity, counting, and patterning knowledge predicted fifth-grade mathematics achievement. By the end of first grade, symbolic mapping, calculation, and patterning knowledge were the important predictors. Furthermore, the first-grade predictors mediated the relation between preschool math knowledge and fifth-grade mathematics achievement. Findings support the early math trajectories model among low-income children. © 2016 The Authors. Child Development © 2016 Society for Research in Child Development, Inc.

Mathematical Models of Elementary Mathematics Learning and Performance. Final Report.

ERIC Educational Resources Information Center

Suppes, Patrick

This project was concerned with the development of mathematical models of elementary mathematics learning and performance. Probabilistic finite automata and register machines with a finite number of registers were developed as models and extensively tested with data arising from the elementary-mathematics strand curriculum developed by the…

Curriculum Framework (CF) Implementation Conference. Report of the Regional Educational Laboratory Network Program and the National Network of Eisenhower Mathematics and Science Regional Consortia (Hilton Head Island, South Carolina, January 26-27, 1995).

ERIC Educational Resources Information Center

Palmer, Jackie; Powell, Mary Jo

The Laboratory Network Program and the National Network of Eisenhower Mathematics and Science Regional Consortia, operating as the Curriculum Frameworks Task Force, jointly convened a group of educators involved in implementing state-level mathematics or science curriculum frameworks (CF). The Hilton Head (South Carolina) conference had a dual…

Critical Perspectives on Cultural Diversity in Early Childhood: Building an Inclusive Curriculum and Provision

ERIC Educational Resources Information Center

Ang, Lynn

2010-01-01

This paper presents a discussion of the complexities that arise from addressing issues of cultural diversity in the early years context. It explores the challenges of developing an effective early years provision and pedagogy that values cultural difference within the framework of a mandated curriculum, "The Early Years Foundation Stage…

Early Childhood Educators' Perspectives of the Swedish National Curriculum for Preschool and Quality Work

ERIC Educational Resources Information Center

Brodin, Jane; Renblad, Karin

2015-01-01

There is today an increasing global interest in early childhood education, especially with regard to curriculum and quality work. The aim of this article is to study preschool teachers' and child care workers' views on the revised national curriculum for preschool in Sweden (Lpfö 98, rev. 2010), and if the educators perceive that they can conduct…

Mastering Reading and Mathematics in the Early Grades. Challenge to Lead Series

ERIC Educational Resources Information Center

Lord, Joan; Wade, Robin; Creech, Joseph

2004-01-01

The "Challenge to Lead" goal for early grades students is first about student achievement in reading and mathematics. The goal is that students in the early grades, regardless of their economic status, school location, ethnicity or gender will be as proficient in reading and mathematics as youngsters anywhere in the nation. "Challenge to Lead"…

Applications: Students, the Mathematics Curriculum and Mathematics Textbooks

ERIC Educational Resources Information Center

Kilic, Cigdem

2013-01-01

Problem posing is one of the most important topics in a mathematics education. Through problem posing, students gain mathematical abilities and concepts and teachers can evaluate their students and arrange adequate learning environments. The aim of the present study is to investigate Turkish primary school teachers' opinions about problem posing…

Teaching Mathematics: Challenging the Sacred Cow of Mathematical Certainty.

ERIC Educational Resources Information Center

Borba, Marcelo C.

1992-01-01

Challenges the concept of mathematical certainty and questions whether it is a useful concept for elementary and secondary mathematics curriculum. Encourages teachers to bring this issue into the classroom and ask students to think about it critically. (HB)

Building Language Throughout the Year: The Preschool Early Literacy Curriculum

ERIC Educational Resources Information Center

Lybolt, John; Armstrong, Jennifer; Techmanski, Kristin Evans; Gottfred, Catherine

2007-01-01

For children from low-resource backgrounds, a literacy-rich preschool experience with a skilled and engaged teacher can offset risk factors and lay the groundwork for lifelong academic success. Now schools can ensure effective early literacy instruction with this field-tested, research-based curriculum for children 3 to 5 years of age. These 41…

Integration of bioinformatics into an undergraduate biology curriculum and the impact on development of mathematical skills.

PubMed

Wightman, Bruce; Hark, Amy T

2012-01-01

The development of fields such as bioinformatics and genomics has created new challenges and opportunities for undergraduate biology curricula. Students preparing for careers in science, technology, and medicine need more intensive study of bioinformatics and more sophisticated training in the mathematics on which this field is based. In this study, we deliberately integrated bioinformatics instruction at multiple course levels into an existing biology curriculum. Students in an introductory biology course, intermediate lab courses, and advanced project-oriented courses all participated in new course components designed to sequentially introduce bioinformatics skills and knowledge, as well as computational approaches that are common to many bioinformatics applications. In each course, bioinformatics learning was embedded in an existing disciplinary instructional sequence, as opposed to having a single course where all bioinformatics learning occurs. We designed direct and indirect assessment tools to follow student progress through the course sequence. Our data show significant gains in both student confidence and ability in bioinformatics during individual courses and as course level increases. Despite evidence of substantial student learning in both bioinformatics and mathematics, students were skeptical about the link between learning bioinformatics and learning mathematics. While our approach resulted in substantial learning gains, student "buy-in" and engagement might be better in longer project-based activities that demand application of skills to research problems. Nevertheless, in situations where a concentrated focus on project-oriented bioinformatics is not possible or desirable, our approach of integrating multiple smaller components into an existing curriculum provides an alternative. Copyright © 2012 Wiley Periodicals, Inc.

Early Career Teachers, Mathematics and Technology: Device Conflict and Emerging Mathematical Knowledge

ERIC Educational Resources Information Center

Attard, Catherine; Orlando, Joanne

2014-01-01

Information and communication technologies (ICT) are positioned in policy/syllabus documents as an essential resource in the teaching of mathematics. Given their youth and lifelong experience with technology, early career teachers (ECTs) are expected to excel in their use of ICT; however, we are not clear on the viability of these expectations and…

The nonlinear relations of the approximate number system and mathematical language to early mathematics development.

PubMed

Purpura, David J; Logan, Jessica A R

2015-12-01

Both mathematical language and the approximate number system (ANS) have been identified as strong predictors of early mathematics performance. Yet, these relations may be different depending on a child's developmental level. The purpose of this study was to evaluate the relations between these domains across different levels of ability. Participants included 114 children who were assessed in the fall and spring of preschool on a battery of academic and cognitive tasks. Children were 3.12 to 5.26 years old (M = 4.18, SD = .58) and 53.6% were girls. Both mixed-effect and quantile regressions were conducted. The mixed-effect regressions indicated that mathematical language, but not the ANS, nor other cognitive domains, predicted mathematics performance. However, the quantile regression analyses revealed a more nuanced relation among domains. Specifically, it was found that mathematical language and the ANS predicted mathematical performance at different points on the ability continuum. These dual nonlinear relations indicate that different mechanisms may enhance mathematical acquisition dependent on children's developmental abilities. (c) 2015 APA, all rights reserved).

GOALS FOR SCHOOL MATHEMATICS, THE REPORT OF THE CONFERENCE ON SCHOOL MATHEMATICS (CAMBRIDGE, MASSACHUSETTS, 1963).

ERIC Educational Resources Information Center

Educational Services, Inc., Watertown, MA.

REPORTED ARE THE TENTATIVE VIEWS OF A GROUP OF MATHEMATICIANS ON THE CONTENT OF A PRE-COLLEGE MATHEMATICS CURRICULUM THAT MIGHT CONCEIVABLY REPRESENT THE TYPE OF PROGRAM WHICH WILL BE OPERATING IN A FEW DECADES. THE COMMITTEE PRESENTS ITS VIEWS, NOT AS A CURRICULUM GUIDE FOR ADMINISTRATORS AND MATHEMATICS EDUCATORS, BUT AS A BASIS FOR DISCUSSION,…

Selected Effects of a Curriculum Integration Intervention on the Mathematics Performance of Secondary Students Enrolled in an Agricultural Power and Technology Course: An Experimental Study

ERIC Educational Resources Information Center

Parr, Brian; Edwards, M. Craig; Leising, James G.

2009-01-01

The purpose of this study was to empirically test the posit that students who participated in a contextualized, mathematics-enhanced high school agricultural power and technology (APT) curriculum and aligned instructional approach would develop a deeper and more sustained understanding of selected mathematics concepts than those students who…

Aistear vis-à-vis the Primary Curriculum: The Experiences of Early Years Teachers in Ireland

ERIC Educational Resources Information Center

Gray, Colette; Ryan, Anna

2016-01-01

Launched in 2009, the Aistear early years curriculum framework sought to complement and extend the primary school curriculum (PSC) at infant class level in the Republic of Ireland. While Aistear focuses on the development of attitudes, values and learning dispositions and is neither statutory nor inspected, the PSC centres on the acquisition of…

Criterion-Related Validity of Two Curriculum-Based Measures of Mathematical Skill in Relation to Reading Comprehension in Secondary Students

ERIC Educational Resources Information Center

Anselmo, Giancarlo A.; Yarbrough, Jamie L.; Kovaleski, Joseph F.; Tran, Vi N.

2017-01-01

This study analyzed the relationship between benchmark scores from two curriculum-based measurement probes in mathematics (M-CBM) and student performance on a state-mandated high-stakes test. Participants were 298 students enrolled in grades 7 and 8 in a rural southeastern school. Specifically, we calculated the criterion-related and predictive…

Mathematical Contributions of the Mayas, Aztecs & Incas: A Native American Curriculum Unit for Middle and High School. NATAM XIX.

ERIC Educational Resources Information Center

Stodola, Janet

Written to fulfill the requirements for a University of Minnesota College of Education off-campus Indian education course for public school teachers, this Native American curriculum unit for middle and high school reflects the mathematical achievements of the Maya, Aztec, and Inca Indians. The number systems, notation, and calendar techniques of…

Connected Mathematics Project (CMP). What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2010

2010-01-01

The "Connected Mathematics Project" ("CMP") is a mathematics curriculum designed for students in grades 6-8. Each grade level of the curriculum is a full-year program and covers numbers, algebra, geometry/measurement, probability, and statistics. The curriculum uses an investigative approach, and students utilize interactive…

Civic Mathematics: A Real-Life General Mathematics Course.

ERIC Educational Resources Information Center

Vatter, Terry

1994-01-01

Presents a civic mathematics curriculum that encompasses issues of race and gender, poverty and wealth, the environment, and concerns of teenagers. Includes lists of mathematics skills and aspects of the issues and a sample lesson on water resources. Quarterly projects are suggested as an alternative to exams. (MKR)

Early Career Elementary Mathematics Teachers' Noticing Related to Language and Language Learners

ERIC Educational Resources Information Center

Turner, Erin Elizabeth; McDuffie, Amy Roth; Sugimoto, Amanda Tori; Stoehr, Kathleen Jablon; Witters, Angela; Aguirre, Julia; Bartell, Tonya; Drake, Corey; Foote, Mary Q.

2016-01-01

There has been limited attention to early career teachers' (ECTs) understandings and practices related to language in teaching and learning mathematics. In this qualitative case study, we drew upon frameworks for teacher noticing to study the language practices of six early career elementary and middle school mathematics teachers. We describe…

From Curriculum to Workplace Requirements: Do They "Match"?

ERIC Educational Resources Information Center

Lomas, Gregor; Mills, Kelvin

2013-01-01

This paper examines correspondences and disjunctions within a national curriculum and between various aspects of its delivery, and how these align with the mathematical needs of the workplace. This is investigated in the context of the New Zealand school mathematics curriculum; the Numeracy Development Project; the senior school assessment regime,…

Narrative assessment: making mathematics learning visible in early childhood settings

NASA Astrophysics Data System (ADS)

Anthony, Glenda; McLachlan, Claire; Lim Fock Poh, Rachel

2015-09-01

Narratives that capture children's learning as they go about their day-to-day activities are promoted as a powerful assessment tool within early childhood settings. However, in the New Zealand context, there is increasing concern that learning stories—the preferred form of narrative assessment—currently downplay domain knowledge. In this paper, we draw on data from 13 teacher interviews and samples of 18 children's learning stories to examine how mathematics is made visible within learning stories. Despite appreciating that mathematics is embedded in a range of everyday activities within the centres, we found that the nature of a particular activity appeared to influence `how' and `what' the teachers chose to document as mathematics learning. Many of the teachers expressed a preference to document and analyse mathematics learning that occurred within explicit mathematics activities rather than within play that involves mathematics. Our concern is that this restricted documentation of mathematical activity could potentially limit opportunities for mathematics learning both in the centre and home settings.

An Evaluation of the Implementation of Early Childhood Education Curriculum in Osun State

ERIC Educational Resources Information Center

Okewole, Johnson Oludele; Abuovbo, Iluezi-Ogbedu Veronica; Abosede, Osinowo Olufunke

2015-01-01

Early Childhood Education as a subject in primary schools in Nigeria was first noticed among the private primary schools in the 80s while the public primary schools did not incorporate it in their curriculum in Nigeria. Of recent, some state governments in Nigeria have just adopted and organized early childhood education unit into their primary…

Synchronous Online Collaborative Professional Development for Elementary Mathematics Teachers

ERIC Educational Resources Information Center

Francis, Krista; Jacobsen, Michele

2013-01-01

Math is often taught poorly emphasizing rote, procedural methods rather than creativity and problem solving. Alberta Education developed a new mathematics curriculum to transform mathematics teaching to inquiry driven methods. This revised curriculum provides a new vision for mathematics and creates opportunities and requirements for professional…

Mathematics and General Education. Stirling Seminar Papers No. 2.

ERIC Educational Resources Information Center

Ruthven, Kenneth

1979-01-01

Despite the development of a common mathematics course, and the raising of the school leaving age, Scotland's mathematics curriculum is still designed for specialization. A general education perspective suggests that the curriculum should enable students to relate mathematics to everyday life (f=fiche number). (Author/CP)

Curriculum Guide Construction Cluster.

ERIC Educational Resources Information Center

Kline, Ken

As part of a model construction cluster curriculum development project, this guide was developed and implemented in the Beaverton (Oregon) School District. The curriculum guide contains 16 units covering the following topics: introduction to construction jobs; safety and first aid; blueprint readings; basic mathematics; site work; framing; roofing…

Exploring the Relationship between Questioning, Enacted Mathematical Tasks, and Mathematical Discourse in Elementary School Mathematics

ERIC Educational Resources Information Center

Martin, Christie; Polly, Drew; McGee, Jen; Wang, Chuang; Lambert, Richard; Pugalee, David

2015-01-01

This study examined the mathematical discourse of elementary school teachers and their students while participating in a year-long professional development project focused on implementing reform-based mathematics curriculum. The teacher participants included 12 teachers, two from each grade level from Kindergarten through Grade 5. Field notes were…

Auditing the Numeracy Demands of the Australian Curriculum

ERIC Educational Resources Information Center

Goos, Merrilyn; Dole, Shelley; Geiger, Vince

2012-01-01

Numeracy is a general capability to be developed in all learning areas of the Australian Curriculum. We evaluated the numeracy demands of the F-10 curriculum, using a model of numeracy that incorporates mathematical knowledge, dispositions, tools, contexts, and a critical orientation to the use of mathematics. Findings of the history curriculum…

Early Math Trajectories: Low-Income Children's Mathematics Knowledge from Age 4 to 11

ERIC Educational Resources Information Center

Rittle-Johnson, Bethany; Fyfe, Emily R.; Hofer, Kerry G.; Farran, Dale C.

2016-01-01

Early mathematics knowledge is a strong predictor of later academic achievement, but children from low-income families enter school with weak mathematics knowledge. An Early Math Trajectories model is proposed and evaluated within a longitudinal study of 517 low-income American children from age 4 to 11. This model includes a broad range of math…

Does Early Mathematics Intervention Change the Processes Underlying Children’s Learning?

PubMed Central

Watts, Tyler W.; Clements, Douglas H.; Sarama, Julie; Wolfe, Christopher B.; Spitler, Mary Elaine; Bailey, Drew H.

2017-01-01

Early educational intervention effects typically fade in the years following treatment, and few studies have investigated why achievement impacts diminish over time. The current study tested the effects of a preschool mathematics intervention on two aspects of children’s mathematical development. We tested for separate effects of the intervention on “state” (occasion-specific) and “trait” (relatively stable) variability in mathematics achievement. Results indicated that, although the treatment had a large impact on state mathematics, the treatment had no effect on trait mathematics, or the aspect of mathematics achievement that influences stable individual differences in mathematics achievement over time. Results did suggest, however, that the intervention could affect the underlying processes in children’s mathematical development by inducing more transfer of knowledge immediately following the intervention for students in the treated group. PMID:29399243

Connecting mathematics learning through spatial reasoning

NASA Astrophysics Data System (ADS)

Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent

2018-03-01

Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new pathways for mathematics learning, pedagogy and curriculum. Novel analytical tools will map the unknown complex systems linking spatial and mathematical concepts. It will involve the design, implementation and evaluation of a Spatial Reasoning Mathematics Program (SRMP) in Grades 3 to 5. Benefits will be seen through development of critical spatial skills for students, increased teacher capability and informed policy and curriculum across STEM education.

Using a Concept-Grounded, Curriculum-Based Measure in Mathematics To Predict Statewide Test Scores for Middle School Students with LD.

ERIC Educational Resources Information Center

Helwig, Robert; Anderson, Lisbeth; Tindal, Gerald

2002-01-01

An 11-item math concept curriculum-based measure (CBM) was administered to 171 eighth grade students. Scores were correlated with scores from a computer adaptive test designed in conjunction with the state to approximate the official statewide mathematics achievement tests. Correlations for general education students and students with learning…

Into the Curriculum. Industrial Arts/Social Studies: African American Inventors [and] Mathematics/Science: How Do Bears Measure Up? [and] Reading/Language Arts: Information Power: Using the Illustrations [and] Reading/Language Arts: African American History [and] Social Studies: Appalachian Trail [and] Social Studies: Trailblazers of the Early American Wilderness.

ERIC Educational Resources Information Center

Fleischer, Barbara; Warner, Richard L.; Haas, Lisa S.; Sommers, Kathy

1998-01-01

Presents curriculum guides for elementary instruction in the areas of industrial arts, social studies, mathematics, science, and reading/language arts. Each lesson plan describes library media skills objectives; curriculum objectives; grade levels; resources; instructional roles; activity and procedures for completion; evaluation; and follow-up…

A Case Study of the Implementation of Chinese Kindergarten Mathematics Curriculum

ERIC Educational Resources Information Center

Hu, Bi Ying; Fuentes, Sarah Quebec; Wang, Chun Yan; Ye, Feiwei

2014-01-01

In 2001, the Chinese Ministry of Education issued Guidelines for Preschool Education (GPE) (trial version) to call on early childhood practitioners to use a child-centered and play-based approach to teaching and learning. The guidelines also include mathematics within the science domain and described its standards in a way that significantly…

High School-College Sequenced Curriculum in Early Childhood Education. Final Report.

ERIC Educational Resources Information Center

Greenblatt, Cynthia; Lawrence, Terri

This report describes a curriculum that enables students from Hartford Public High School to take a course which is relevant to the Early Childhood Program at Greater Hartford Community College. Successful completion of the course enables students to earn three college credits and meet high school graduation requirements. Objectives of the project…

Reaching All Students with Mathematics.

ERIC Educational Resources Information Center

Cuevas, Gilbert, Ed.; Driscoll, Mark, Ed.

The National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics" and "Professional Standards for Teaching Mathematics" reflect the belief that all students can learn a significant core of high-quality mathematics. Recognizing the magnitude of the task of reaching all students, this…

KUSPACE: Embedding Science Technology and Mathematics Ambassador Activities in the Undergradiuate Engineering Curriculum

NASA Astrophysics Data System (ADS)

Welch, C.; Osborne, B.

The UK national STEM Ambassadors programme provides inspiring role models for school students in science, technology, engineering, mathematics (STEM) subjects. STEMNET, the national body responsible for STEM Ambassa- dors aims to provide more than 27,000 STEM Ambassadors nationwide by the end of 2011. This paper reports on a project at Kingston University to embed STEM Ambassador training and activity in Year 2 of the undergraduate Aerospace Engineering, Astronautics and Space Technology degree. The project, known as KUSPACE (Kingston University Students Providing Amazing Classroom Experiences), was conceived to develop students' communication, planning and presentation skills and build links between different cohort years, while providing a valuable contribution to local primary schools' STEM programmes and simultaneously raising the public engagement profile of the university. This paper describes the pedagogical conception of the KUSPACE, its implementation in the curriculum, the delivery of it in the university and schools and its effect on the undergraduate students, as well as identifying good practice and drawing attention to lessons learned.STEMNET (www.stemnet.org) is the UK's Science, Technol- ogy, Engineering and Mathematics Network. Working with a broad range of UK partners and funded by the UK govern- ment's Department for Business Innovation and Skills, STEMNET plays a significant role in ensuring that five to nineteen year olds and their teachers can experience a wide range of activities and schemes which enhance and enrich the school curriculum [1]. Covering all aspects of Science, Tech- nology, Engineering and Maths (STEM), these activities and schemes are designed both to increase STEM awareness and literacy in the young people and also to encourage more of them to undertake post-16 STEM qualifications and associated careers [2]. STEMNET operates through forty-five local con- tract holders around the UK which help the network deliver its

Early Childhood Educators' Meta-Cognitive Knowledge of Problem-Solving Strategies and Quality of Childcare Curriculum Implementation

ERIC Educational Resources Information Center

Kim, Yeon Ha

2016-01-01

This study aims to explore the impact of early childhood educators' meta-cognitive knowledge on the quality of their childcare curriculum implementation, and to gain insights regarding successful problem-solving strategies associated with early education and care. Early childhood educators' implementation of general problem-solving strategies in…

Status Report: Mathematics Curriculum-Development Projects Today

ERIC Educational Resources Information Center

Arithmetic Teacher, 1972

1972-01-01

Brief reports on the Cambridge Conference on School Mathematics, Comprehensive School Mathematics Program, Computer-Assisted Instruction Projects at Stanford, Individually Prescribed Instruction Project, The Madison Project, Mathematics/Science Learning System, MINNEMAST, and School Mathematics Study Group. (MM)

Beyond Motivation: Exploring Mathematical Modeling as a Context for Deepening Students' Understandings of Curricular Mathematics

ERIC Educational Resources Information Center

Zbiek, Rose Mary; Conner, Annamarie

2006-01-01

Views of mathematical modeling in empirical, expository, and curricular references typically capture a relationship between real-world phenomena and mathematical ideas from the perspective that competence in mathematical modeling is a clear goal of the mathematics curriculum. However, we work within a curricular context in which mathematical…

Rethinking Teacher Leader Development: A Study of Early Career Mathematics Teachers

ERIC Educational Resources Information Center

Huggins, Kristin Shawn; Lesseig, Kristin; Rhodes, Heidi

2017-01-01

In the era of standards-based reforms, informal teacher leadership is a critical factor in realizing instructional improvement. In this paper, we report on data from a one-year study of four early career mathematics teachers engaging in professional development around Common Core mathematical practices and leadership. Our findings highlight how…

Early Mathematical Competencies and Later Outcomes: Insights from the Longitudinal Study of Australian Children

ERIC Educational Resources Information Center

MacDonald, Amy; Carmichael, Colin

2016-01-01

International research suggests that early mathematical competences predicts later mathematical outcomes. In this paper, we build on our previous study of young children's mathematical competencies (MacDonald & Carmichael, 2015) to explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and…

Internationalizing the Mathematical Finance Course

ERIC Educational Resources Information Center

Okonkwo, Zephyrinus C.

2017-01-01

About the year 2000, the Department of Mathematics and Computer Science, Albany State University (ASU), Albany, Georgia, USA envisioned the need to have a comprehensive curriculum revision based on recommendations of the Conference Boards of The Mathematical Sciences, the American Mathematical Society, the Mathematical Association of American, and…

Cultural horizons for mathematics

NASA Astrophysics Data System (ADS)

Owens, Kay; Paraides, Patricia; Jannok Nutti, Ylva; Johansson, Gunilla; Bennet, Maria; Doolan, Pat; Peckham, Ray; Hill, John; Doolan, Frank; O'Sullivan, Dominic; Murray, Libbey; Logan, Patricia; McNair, Melissa; Sunnari, Vappu; Murray, Beatrice; Miller, Alissa; Nolan, John; Simpson, Alca; Ohrin, Christine; Doolan, Terry; Doolan, Michelle; Taylor, Paul

2011-06-01

As a result of a number of government reports, there have been numerous systemic changes in Indigenous education in Australia revolving around the importance of partnerships with the community. A forum with our local Dubbo community established the importance of working together and developed a model which placed the child in an ecological perspective that particularly noted the role of Elders and the place of the child in the family. However, there was also the issue of curriculum and mathematics education to be addressed. It was recognised that a colonised curriculum reduces the vision of what might be the potential for Indigenous mathematics education. This paper reports on the sharing that developed between our local community and some researchers and teachers from Sweden, Papua New Guinea and New Zealand. It has implications for recognising the impact of testing regimes, the teaching space, understanding the ways children learn, the curriculum, and teacher education. As a result of these discussions, a critical pedagogy that considers culture and place is presented as an ecocultural perspective on mathematics education. This perspective was seen as critical for the curriculum and learning experiences of Indigenous children.

Integrating Mathematics into the Introductory Biology Laboratory Course

ERIC Educational Resources Information Center

White, James D.; Carpenter, Jenna P.

2008-01-01

Louisiana Tech University has an integrated science curriculum for its mathematics, chemistry, physics, computer science, biology-research track and secondary mathematics and science education majors. The curriculum focuses on the calculus sequence and introductory labs in biology, physics, and chemistry. In the introductory biology laboratory…

A "True" Story about Mathematical Reasoning Made Easy

ERIC Educational Resources Information Center

Bragg, Leicha A.; Herbert, Sandra

2017-01-01

Mathematical reasoning is one of the four proficiencies in the Australian Curriculum: Mathematics (AC:M) where it is described as: "[the] capacity for logical thought and actions, such as analysing, proving, evaluating, explaining, inferring, justifying and generalising" (Australian Curriculum, Assessment and Reporting Authority [ACARA],…

Creative Construction of Mathematics and Science Concepts in Early Childhood.

ERIC Educational Resources Information Center

Gallenstein, Nancy L.

Noting that effective teaching models that emphasize critical thinking in mathematics and science are used less often in early childhood classrooms than in those for older students, this book provides early childhood educators with an explanation of teaching models that promote 3- to 8-year-olds critical thinking, problem solving, decision making,…

Early Numeracy Intervention Program for First-Grade Students with Mathematics Difficulties

ERIC Educational Resources Information Center

Bryant, Diane Pedrotty; Bryant, Brian R.; Roberts, Greg; Vaughn, Sharon; Pfannenstiel, Kathleen Hughes; Porterfield, Jennifer; Gersten, Russell

2011-01-01

The purpose of this study was to determine the effects of an early numeracy preventative Tier 2 intervention on the mathematics performance of first-grade students with mathematics difficulties. Researchers used a pretest-posttest control group design with randomized assignment of 139 students to the Tier 2 treatment condition and 65 students to…

Mathematics and Global Perspectives: A Working Team.

ERIC Educational Resources Information Center

Schwartz, Richard H.

1980-01-01

Ways in which mathematics and global education can be combined are described. Following a discussion of the need for having a citizenry capable of analyzing global issues, methods of infusing global education into the mathematics curriculum and math into the social studies curriculum are offered. Half of the document consists of eight sample…

Turkana Children's Sociocultural Practices of Pastoralist Lifestyles and Science Curriculum and Instruction in Kenyan Early Childhood Education

ERIC Educational Resources Information Center

Ng'asike, John Teria

2010-01-01

This dissertation discusses the findings of an ethnographic exploratory study of Turkana nomadic pastoralist children's sociocultural practices of their everyday lifestyles and science curriculum and instruction in Kenyan early childhood curriculum. The study uses the findings from Turkana elders to challenge the dominant society in Kenya that…

The Effect of Early Fieldwork on Mathematics Efficacy Beliefs for Pre-Service Teachers

ERIC Educational Resources Information Center

Hunt-Ruiz, Heidi; Watson, Scott B.

2015-01-01

The purpose of this study was to investigate the impact of an early fieldwork experience on preservice teachers' mathematics efficacy beliefs. This quasi-experimental study included 127 preservice teachers from two community colleges who were enrolled in mathematics for teachers' two-course sequence. The Personal Mathematics Teaching Efficacy…

Learning Mathematics in High School Courses beyond Mathematics: Combating the Need for Post-Secondary Remediation in Mathematics

ERIC Educational Resources Information Center

Young, R. Brent; Hodge, Angie; Edwards, M. Craig; Leising, James G.

2012-01-01

The purpose of this study was to empirically test the posit that students who participated in a contextualized, mathematics-enhanced high school agricultural power and technology (APT) curriculum and aligned instructional approach would develop a deeper and more sustained understanding of selected mathematics concepts than those students who…

Developing a Multi-Dimensional Early Elementary Mathematics Screener and Diagnostic Tool: The Primary Mathematics Assessment.

PubMed

Brendefur, Jonathan L; Johnson, Evelyn S; Thiede, Keith W; Strother, Sam; Severson, Herb H

2018-01-01

There is a critical need to identify primary level students experiencing difficulties in mathematics to provide immediate and targeted instruction that remediates their deficits. However, most early math screening instruments focus only on the concept of number, resulting in inadequate and incomplete information for teachers to design intervention efforts. We propose a mathematics assessment that screens and provides diagnostic information in six domains that are important to building a strong foundation in mathematics. This article describes the conceptual framework and psychometric qualities of a web-based assessment tool, the Primary Math Assessment (PMA). The PMA includes a screener to identify students at risk for poor math outcomes and a diagnostic tool to provide a more in-depth profile of children's specific strengths and weaknesses in mathematics. The PMA allows teachers and school personnel to make better instructional decisions by providing more targeted analyses.

An Examination of the Implementation of Mathematics Lessons in a Chinese Kindergarten Classroom in the Setting of Standards Reform

ERIC Educational Resources Information Center

Hu, Bi Ying; Quebec Fuentes, Sarah; Ma, Jingjing; Ye, Feiwei; Roberts, Sherron Killingsworth

2017-01-01

In China, the "2001 Kindergarten Education Guidelines (Trial)", or "New Outline", delineates what constitutes high-quality, developmentally appropriate practices in all early childhood education curriculum domains, including mathematics. The "New Outline" is known for advocating a child-centered, play-based approach…

Mathematical Modeling: A Structured Process

ERIC Educational Resources Information Center

Anhalt, Cynthia Oropesa; Cortez, Ricardo

2015-01-01

Mathematical modeling, in which students use mathematics to explain or interpret physical, social, or scientific phenomena, is an essential component of the high school curriculum. The Common Core State Standards for Mathematics (CCSSM) classify modeling as a K-12 standard for mathematical practice and as a conceptual category for high school…

Mathematical Modeling in the High School Curriculum

ERIC Educational Resources Information Center

Hernández, Maria L.; Levy, Rachel; Felton-Koestler, Mathew D.; Zbiek, Rose Mary

2016-01-01

In 2015, mathematics leaders and instructors from the Society for Industrial and Applied Mathematics (SIAM) and the Consortium for Mathematics and Its Applications (COMAP), with input from NCTM, came together to write the "Guidelines for Assessment and Instruction in Mathematical Modeling Education" (GAIMME) report as a resource for…

Graphing Calculator Exposure of Mathematics Learning in a Partially Technology Incorporated Environment

ERIC Educational Resources Information Center

Kharuddin, Azrul Fazwan; Ismail, Noor Azina

2017-01-01

Integrating technology in the mathematics curriculum has become a necessary task for curriculum developers as well as mathematics practitioners across the world and time. In general research studies seeking a better understanding of how best to integrate mathematics analysis tools with mathematics subject matter normally observe mathematics…

Complex Possibilities: "Working Theories" as an Outcome for the Early Childhood Curriculum

ERIC Educational Resources Information Center

Hargraves, Vicki

2014-01-01

"Working theories" are described as one of the two principal outcomes of Te Whariki, the early childhood curriculum in Aotearoa New Zealand. Despite its prominence as a curricular outcome, the theoretical positioning of the concept of working theory remains relatively undebated, with researchers readily attributing the term to a…

Mathematics Learning Styles of Chinese Immigrant Students. Final Research Report.

ERIC Educational Resources Information Center

Tsang, Sau-Lim

Major revision in the U.S. mathematics curriculum since the 1960s have led to significant differences between the mathematics curriculum of the United States and those of many other countries. This study explored how eight Chinese immigrant students, with different cultural backgrounds, mathematics knowledge, and learning styles, learned in an…

Studies in Mathematics Education, Volume 3. The Mathematical Education of Primary-School Teachers.

ERIC Educational Resources Information Center

Morris, Robert, Ed.

Recognizing that the teacher is the key to improving any mathematics program, this volume examines the responsibility of primary school teachers for the mathematics component of the curriculum and the implications thereof for teacher education. The first two chapters focus on the responsibilities of teachers of primary mathematics and contemporary…

Some Thoughts About Curriculum Development.

ERIC Educational Resources Information Center

Mayor, John

Based on experiences gained through involvement with three curriculum development projects, one relating to an elementary science curriculum and the other two relating to junior high school mathematics, the following recommendations are presented: (1) financial support from an outside agency, public or private, makes boldness more probable in…

Early Executive Function at Age Two Predicts Emergent Mathematics and Literacy at Age Five

PubMed Central

Mulder, Hanna; Verhagen, Josje; Van der Ven, Sanne H. G.; Slot, Pauline L.; Leseman, Paul P. M.

2017-01-01

Previous work has shown that individual differences in executive function (EF) are predictive of academic skills in preschoolers, kindergartners, and older children. Across studies, EF is a stronger predictor of emergent mathematics than literacy. However, research on EF in children below age three is scarce, and it is currently unknown whether EF, as assessed in toddlerhood, predicts emergent academic skills a few years later. This longitudinal study investigates whether early EF, assessed at two years, predicts (emergent) academic skills, at five years. It examines, furthermore, whether early EF is a significantly stronger predictor of emergent mathematics than of emergent literacy, as has been found in previous work on older children. A sample of 552 children was assessed on various EF and EF-precursor tasks at two years. At age five, these children performed several emergent mathematics and literacy tasks. Structural Equation Modeling was used to investigate the relationships between early EF and academic skills, modeled as latent factors. Results showed that early EF at age two was a significant and relatively strong predictor of both emergent mathematics and literacy at age five, after controlling for receptive vocabulary, parental education, and home language. Predictive relations were significantly stronger for mathematics than literacy, but only when a verbal short-term memory measure was left out as an indicator to the latent early EF construct. These findings show that individual differences in emergent academic skills just prior to entry into the formal education system can be traced back to individual differences in early EF in toddlerhood. In addition, these results highlight the importance of task selection when assessing early EF as a predictor of later outcomes, and call for further studies to elucidate the mechanisms through which individual differences in early EF and precursors to EF come about. PMID:29075209

Early Executive Function at Age Two Predicts Emergent Mathematics and Literacy at Age Five.

PubMed

Mulder, Hanna; Verhagen, Josje; Van der Ven, Sanne H G; Slot, Pauline L; Leseman, Paul P M

2017-01-01

Previous work has shown that individual differences in executive function (EF) are predictive of academic skills in preschoolers, kindergartners, and older children. Across studies, EF is a stronger predictor of emergent mathematics than literacy. However, research on EF in children below age three is scarce, and it is currently unknown whether EF, as assessed in toddlerhood, predicts emergent academic skills a few years later. This longitudinal study investigates whether early EF, assessed at two years, predicts (emergent) academic skills, at five years. It examines, furthermore, whether early EF is a significantly stronger predictor of emergent mathematics than of emergent literacy, as has been found in previous work on older children. A sample of 552 children was assessed on various EF and EF-precursor tasks at two years. At age five, these children performed several emergent mathematics and literacy tasks. Structural Equation Modeling was used to investigate the relationships between early EF and academic skills, modeled as latent factors. Results showed that early EF at age two was a significant and relatively strong predictor of both emergent mathematics and literacy at age five, after controlling for receptive vocabulary, parental education, and home language. Predictive relations were significantly stronger for mathematics than literacy, but only when a verbal short-term memory measure was left out as an indicator to the latent early EF construct. These findings show that individual differences in emergent academic skills just prior to entry into the formal education system can be traced back to individual differences in early EF in toddlerhood. In addition, these results highlight the importance of task selection when assessing early EF as a predictor of later outcomes, and call for further studies to elucidate the mechanisms through which individual differences in early EF and precursors to EF come about.

Utah's New Mathematics Core

ERIC Educational Resources Information Center

Utah State Office of Education, 2011

2011-01-01

Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…

Teachers' perceptions of students' mathematics proficiency may exacerbate early gender gaps in achievement.

PubMed

Robinson-Cimpian, Joseph P; Lubienski, Sarah Theule; Ganley, Colleen M; Copur-Gencturk, Yasemin

2014-04-01

A recent wave of research suggests that teachers overrate the performance of girls relative to boys and hold more positive attitudes toward girls' mathematics abilities. However, these prior estimates of teachers' supposed female bias are potentially misleading because these estimates (and teachers themselves) confound achievement with teachers' perceptions of behavior and effort. Using data from the Early Childhood Longitudinal Study, Kindergarten Class of 1998-1999 (ECLS-K), Study 1 demonstrates that teachers actually rate boys' mathematics proficiency higher than that of girls when conditioning on both teachers' ratings of behavior and approaches to learning as well as past and current test scores. In other words, on average girls are only perceived to be as mathematically competent as similarly achieving boys when the girls are also seen as working harder, behaving better, and being more eager to learn. Study 2 uses mediation analysis with an instrumental-variables approach, as well as a matching strategy, to explore the extent to which this conditional underrating of girls may explain the widening gender gap in mathematics in early elementary school. We find robust evidence suggesting that underrating girls' mathematics proficiency accounts for a substantial portion of the development of the mathematics achievement gap between similarly performing and behaving boys and girls in the early grades. PsycINFO Database Record (c) 2014 APA, all rights reserved.

A Leader's Guide to Mathematics Curriculum Topic Study

ERIC Educational Resources Information Center

Keeley, Page; Mundry, Susan; Tobey, Cheryl Rose; Carroll, Catherine E.

2012-01-01

The Curriculum Topic Study (CTS) process, funded by the National Science Foundation, supports teachers in improving practice by connecting standards and research to curriculum, instruction, and assessment. Designed for facilitators, this guide provides a robust set of professional development tools, templates, and designs to strengthen mathematics…

Curriculum Planning and Development in Mathematics from the Formative Stages

ERIC Educational Resources Information Center

Festus, Azuka Benard; Kurumeh, Mary Seraphina

2015-01-01

Curriculum of a school consists of all the experiences that a learner encounters under the direction of the school. The curriculum of any educational system is planned and developed according to the needs of the society. Just as the society is dynamic, the curriculum is also dynamic. Hence, curriculum is usually changed from time to time. This…

Projects To Enrich School Mathematics. Level 3.

ERIC Educational Resources Information Center

Sachs, Leroy, Ed.

This is a series of research projects that can be used for enrichment of the high school mathematics curriculum. It is suggested that the topics are either not found in the standard curriculum or represent a more indepth study of standard topics. The areas considered are: applications of the microcomputer in mathematics; the fourth dimension and…

Application of the Reggio Emilia Approach to Early Childhood Science Curriculum.

ERIC Educational Resources Information Center

Stegelin, Dolores A.

2003-01-01

This article focuses on the relevance of the Reggio Emilia approach to early childhood education for science knowledge and content standards for the preK-12 student population. The article includes: (1) a summary of key concepts; (2) a description of the science curriculum standards for K-3 in the United States; and (3) an example of an in-depth…

Efficacy Trial of the Second Step Early Learning (SSEL) Curriculum: Preliminary Outcomes

ERIC Educational Resources Information Center

Upshur, Carole C.; Heyman, Miriam; Wenz-Gross, Melodie

2017-01-01

A classroom randomized trial (n = 31 classrooms) was conducted using the Second Step Early Learning (SSEL) curriculum compared to usual curricula. Head Start and community preschool classrooms enrolling low income children were randomly assigned to deliver SSEL (n = 16) or usual curricula (n = 15). Data are reported for four year olds…

A Preliminary Investigation of Racial Bias in Early Writing Curriculum-Based Measures

ERIC Educational Resources Information Center

Kondisko, Joseph E.

2017-01-01

Using de-identified data, this study investigated the relationship between racial categories with curriculum-based early writing measures (CBM-W), which included word dictation, picture word sentence writing, and story prompt tasks for over 300 participants in Grades 1, 2, and 3. Words written, words spelled correctly, correct letter sequences,…

The effects of an early intervention music curriculum on prereading/writing.

PubMed

Register, D

2001-01-01

This study evaluated the effects of music sessions using a curriculum designed to enhance the prereading and writing skills of 25 children aged 4 to 5 years who were enrolled in Early Intervention and Exceptional Student Education programs. This study was a replication of the work of Standley and Hughes (1997) and utilized a larger sample size (n = 50) in order to evaluate the efficacy of a music curriculum designed specifically to teach prereading and writing skills versus one that focuses on all developmental areas. Both the experimental (n = 25) and control (n = 25) groups received two 30-minute sessions each week for an entire school year for a minimum of 60 sessions per group. The differentiating factors between the two groups were the structure and components of the musical activities. The fall sessions for the experimental group were focused primarily on writing skills while the spring sessions taught reading/book concepts. Music sessions for the control group were based purely on the thematic material, as determined by the classroom teacher with purposeful exclusion of all preliteracy concepts. All participants were pretested at the beginning of the school year and posttested before the school year ended. Overall, results demonstrated that music sessions significantly enhanced both groups' abilities to learn prewriting and print concepts. However, the experimental group showed significantly higher results on the logo identification posttest and the word recognition test. Implications for curriculum design and academic and social applications of music in Early Intervention programs are discussed.

Early Executive Function and Mathematics Relations: Correlation Does Not Ensure Concordance.

PubMed

Mazzocco, Michèle M M; Chan, Jenny Yun-Chen; Bock, Allison M

2017-01-01

In this chapter, we address one potentially overlooked component of the relation between executive function (EF) skills and early mathematics, a relation for which there is widespread empirical support. Evidence for this relation has, thus far, been largely correlational. Here we emphasize that because positive correlations do not guarantee concordance among all members of a sample or population, a small but meaningful number of children may either fare well in mathematics despite poor EF skills, or may have strong EF skills despite weak mathematics skills. We propose that attention to different profiles of discordance for EF and mathematics may help identify individualized learning needs for students at risk for mathematics difficulties and disabilities. © 2017 Elsevier Inc. All rights reserved.

Mathematics in Context: Opening the Gates to Mathematics for All at the Middle Level.

ERIC Educational Resources Information Center

Meyer, Margaret R.

1997-01-01

Describes Mathematics in Context, a middle-level mathematics curriculum developed by researchers at the University of Wisconsin-Madison and the University of Utrecht, in the Netherlands. Instead of proceeding from a generalization to specific examples, the math originates in real problems; conversely, the mathematics learned is used to solve…

Exceptional Children Conference Papers: Curriculum, Methods, and Materials in Early Childhood Education Programs.

ERIC Educational Resources Information Center

Council for Exceptional Children, Arlington, VA.

Thirteen papers on early childhood education are presented on the following topics: stimulation and cognitive development of infants and younger children, curriculum development for young handicapped children, a rationale for sequencing instructional activities for preschool handicapped children, observation of educational activities and…

Snow snakes and science agency: Empowering American Indian students through a culturally-based science, technology, engineering, and mathematics (STEM) curriculum

NASA Astrophysics Data System (ADS)

Miller, Brant Gregory

Mainstream curricula have struggled to provide American Indian students with meaningful learning experiences. This research project studied a novel approach to engaging students with science, technology, engineering, and mathematics (STEM) content through a culturally-based context. The traditional American Indian game of Snow Snakes (shushumeg in Ojibwe) presented a highly engaging context for delivering STEM content. Through the engaging context of snow snakes, the designed STEM curriculum explicitly applied mathematics (scaling and data), and science (force and motion) to an engineering prototype iteration that used available materials and tools (technology) for success. It was hypothesized that by engaging students through the carefully integrated STEM curriculum, driven by the culturally based context of snow snakes, students would exhibit an increase in science agency and achievement. The overarching research question explored for this study was: How does a culturally-based and integrated STEM curriculum impact student's science agency? Associated sub-questions were: (1) What does science agency look like for 6th grade students? (2) What key experiences are involved in the development of science agency through a culturally-based STEM curriculum context? And (3) What are the impacts on the community associated with the implementation of a culturally-based STEM curriculum? A case study research design was implemented for this research. Yin (2003) defines a case study as investigating a phenomenon (e.g. science agency) which occurs within authentic contexts (e.g. snow snakes, Adventure Learning, and Eagle Soaring School) especially when the boundaries between phenomenon and context are unclear. For this case study Eagle Soaring School acted as the bounded case with students from the 6th grade class representing the embedded units. Science agency was the theoretical framework for data analysis. Major findings were categorized as science and STEM learning, agency

The 24-Hour Mathematical Modeling Challenge

ERIC Educational Resources Information Center

Galluzzo, Benjamin J.; Wendt, Theodore J.

2015-01-01

Across the mathematics curriculum there is a renewed emphasis on applications of mathematics and on mathematical modeling. Providing students with modeling experiences beyond the ordinary classroom setting remains a challenge, however. In this article, we describe the 24-hour Mathematical Modeling Challenge, an extracurricular event that exposes…

Research Ideas for the Classroom: Early Childhood Mathematics.

ERIC Educational Resources Information Center

Jensen, Robert J., Ed.

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the early…

A Mathematics Educator's Introduction to Rural Policy Issues

ERIC Educational Resources Information Center

Waters, Michael S., Ed.

2005-01-01

Most of the scholarship and commentary on mathematics education deals with issues of curriculum and instruction; this is understandable in a field logically belonging to the domain of curriculum and instruction. Moreover, issues of teaching and learning are compelling to people who love to learn and teach mathematics. Policy receives shorter…

Integrating Information and Communication Technologies into the Early Childhood Curriculum: Chinese Principals' Views of the Challenges and Opportunities

ERIC Educational Resources Information Center

Li, Hui

2006-01-01

This study investigated the challenges and opportunities associated with the introduction of information and communication technologies (ICT) into the early childhood curriculum in Hong Kong kindergartens. Thirty-one principals completed questionnaires before they implemented a new curriculum initiative plan that involved the integrating of ICT…

Health and Safety in the Early Childhood Classroom: Guidelines for Curriculum Development

ERIC Educational Resources Information Center

Bales, Diane; Wallinga, Charlotte; Coleman, Mick

2006-01-01

Early childhood teachers have a variety of health and safety resources to draw upon, including information about and educational programs dealing with such issues as fire safety, obesity, and dental hygiene. However, teachers may face a number of challenges when attempting to incorporate health and safety resources into the curriculum. In some…

Further Development of Measures of Early Math Performance for Preschoolers

ERIC Educational Resources Information Center

VanDerHeyden, Amanda M.; Broussard, Carmen; Cooley, Amanda

2006-01-01

The purpose of this study was to examine the progress monitoring and screening accuracy for a set of curriculum-based measures (CBM) of early mathematics skills. Measures included counting objects, selecting numbers, naming numbers, counting, and visual discrimination. Measures were designed to be administered with preschoolers in a short period…

Construct and Predictive Validity Evidence for Curriculum-Based Measures of Early Literacy and Numeracy Skills in Kindergarten

ERIC Educational Resources Information Center

Betts, Joseph; Pickart, Mary; Heistad, Dave

2009-01-01

The assessment of early literacy and numeracy skills can provide useful and important information in pursuance of the goal to increase student academic achievement. At present, there have been promising results using curriculum-based measurement (CBM) for evaluating early literacy and early numeracy. There has been little research investigating…

Restoring Scholarship to Collegiate Mathematics.

ERIC Educational Resources Information Center

Steen, Lynn Arthur

1986-01-01

Needs of collegiate mathematics across the nation are considered, and suggestions are offered to the National Science Foundation (NSF) by a professor of Mathematics at St. Olaf College (Minnesota). Changes in mathematics content, scope, and applications have implications for the college curriculum. Problems and challenges are posed by: increased…

Description and Early Outcomes of a Comprehensive Curriculum Redesign at the Northwestern University Feinberg School of Medicine.

PubMed

Heiman, Heather L; O'Brien, Celia L; Curry, Raymond H; Green, Marianne M; Baker, James F; Kushner, Robert F; Thomas, John X; Corbridge, Thomas C; Corcoran, Julia F; Hauser, Joshua M; Garcia, Patricia M

2017-09-26

In 2012, the Northwestern University Feinberg School of Medicine launched a redesigned curriculum addressing the four primary recommendations in the 2010 Carnegie Foundation for the Advancement of Teaching report on reforming medical education. This new curriculum provides a more standardized evaluation of students' competency achievement through a robust portfolio review process coupled with standard evaluations of medical knowledge and clinical skills. It individualizes learning processes through curriculum flexibility, enabling students to take electives earlier and complete clerkships in their preferred order. The new curriculum is integrated both horizontally and vertically, combining disciplines within organ-based modules and deliberately linking elements (science in medicine, clinical medicine, health and society, professional development) and threads (medical decision making, quality and safety, teamwork and leadership, lifestyle medicine, advocacy and equity) across the three phases that replaced the traditional four-year timeline. It encourages students to conduct research in an area of interest and commit to lifelong learning and self-improvement. The curriculum formalizes the process of professional identity formation and requires students to reflect on their experiences with the informal and hidden curricula, which strongly shape their identities.The authors describe the new curriculum structure, explain their approach to each Carnegie report recommendation, describe early outcomes and challenges, and propose areas for further work. Early data from the first cohort to progress through the curriculum show unchanged United States Medical Licensing Examination Step 1 and 2 scores, enhanced student research engagement and career exploration, and improved student confidence in the patient care and professional development domains.

"Model Your Genes the Mathematical Way"--A Mathematical Biology Workshop for Secondary School Teachers

ERIC Educational Resources Information Center

Martins, Ana Margarida; Vera-Licona, Paola; Laubenbacher, Reinhard

2008-01-01

This article describes a mathematical biology workshop given to secondary school teachers of the Danville area in Virginia, USA. The goal of the workshop was to enable teams of teachers with biology and mathematics expertise to incorporate lesson plans in mathematical modelling into the curriculum. The biological focus of the activities is the…

Mathematics at the Early Childhood Level: The Impact of Staff Development on Teachers' Self-Efficacy and Student Learning Outcomes

ERIC Educational Resources Information Center

Molinare, Dee

2017-01-01

Early childhood education has become of national and local interest based upon the Preschool for All agenda. Children need to attend preschools with programs that are high quality with a curriculum that is age appropriate and prepares them for continued school success. Early childhood educators should be trained to implement the curriculum. This…

Fadeout in an Early Mathematics Intervention: Constraining Content or Preexisting Differences?

ERIC Educational Resources Information Center

Bailey, Drew H.; Nguyen, Tutrang; Jenkins, Jade Marcus; Domina, Thurston; Clements, Douglas H.; Sarama, Julie S.

2016-01-01

A robust finding across research on early childhood educational interventions is that the treatment effect diminishes over time, with children not receiving the intervention eventually catching up to children who did. One popular explanation for fadeout of early mathematics interventions is that elementary school teachers may not teach the kind of…

An Analysis of Instruments that Measure the Quality of Mathematics Teaching in Early Childhood

ERIC Educational Resources Information Center

Kilday, Carolyn R.; Kinzie, Mable B.

2009-01-01

The evaluation of teaching quality in mathematics has become increasingly important following research reports indicating that preschoolers are developmentally able to engage in mathematic thought and that child performance in mathematics at this level is a strong predictor of later school achievement. As attention turns to early mathematics…

Predictive Relation between Early Numerical Competencies and Mathematics Achievement in First Grade Portuguese Children.

PubMed

Marcelino, Lilia; de Sousa, Óscar; Lopes, António

2017-01-01

Early numerical competencies (ENC) (counting, number relations, and basic arithmetic operations) have a central position in the initial learning of mathematics, and their assessment is useful for predicting later mathematics achievement. Using a regression model, this study aims to analyze the correlational and predictive evidence between ENC and mathematics achievement in first grade Portuguese children ( n = 123). The children's ENC were examined at the point of school entry. Three criterion groups (low, moderate, and high ENC) were formed based on the results of the early numerical brief screener and mathematics achievement measured at the end of first grade. The following hypotheses were tested: children who started first grade with low numerical competencies remained low mathematics achievement at the end of first grade; and children who started with high numerical competencies, finished the first grade with high mathematics achievement. The results showed that ENC contributed to a significant amount of explained variance in mathematics achievement at the end of the first grade. Children with low numerical competencies performed lower than children with moderate and high numerical competencies. Findings suggest that ENC are meaningful for predicting first-grade mathematics difficulties.

Predictive Relation between Early Numerical Competencies and Mathematics Achievement in First Grade Portuguese Children

PubMed Central

Marcelino, Lilia; de Sousa, Óscar; Lopes, António

2017-01-01

Early numerical competencies (ENC) (counting, number relations, and basic arithmetic operations) have a central position in the initial learning of mathematics, and their assessment is useful for predicting later mathematics achievement. Using a regression model, this study aims to analyze the correlational and predictive evidence between ENC and mathematics achievement in first grade Portuguese children (n = 123). The children’s ENC were examined at the point of school entry. Three criterion groups (low, moderate, and high ENC) were formed based on the results of the early numerical brief screener and mathematics achievement measured at the end of first grade. The following hypotheses were tested: children who started first grade with low numerical competencies remained low mathematics achievement at the end of first grade; and children who started with high numerical competencies, finished the first grade with high mathematics achievement. The results showed that ENC contributed to a significant amount of explained variance in mathematics achievement at the end of the first grade. Children with low numerical competencies performed lower than children with moderate and high numerical competencies. Findings suggest that ENC are meaningful for predicting first-grade mathematics difficulties. PMID:28713308

Remedial early numeracy education: can children identified as having a language deficiency benefit?

PubMed

Van Luit, Johannes E H; Toll, Sylke W M

2015-01-01

Growing attention has been paid to the possibility of supporting early numeracy in at-risk kindergartners. Furthermore, it is assumed that language proficiency is an important prerequisite in early maths skills. To examine whether remedial early numeracy education in kindergarten, which has been proven to be effective in general, is also beneficial for children with a language deficiency. Based on intensive selection, four different conditions were included: two groups received remedial education, one consisting of children being language proficient (N = 86) and one of children with a language deficiency (N = 26), and two groups followed the regular curriculum, one consisting of children being language proficient (N = 51) and one of children with a language deficiency (N = 24). Remedial education was for 1.5 school years (90 sessions, 30 min per session, twice per week), following the programme 'The Road to Mathematics'. During this period, the children receiving remedial education did not attend the regular maths lessons in the classroom, which were offered for at least 1 h per week. Effects were assessed for early numeracy and mathematical skills (operationalized as basic calculation fluency) in kindergarten and first grade. Three analyses of covariance (ANCOVAs) revealed that, when accounting for achievement at pre-test, children with a language deficiency who received remedial numeracy education performed better on early numeracy skills in kindergarten and first grade than kindergartners with a language deficiency that followed the regular curriculum. Furthermore, they were able to catch up with their language proficient peers in early numeracy. However, children with a language deficiency who received remedial numeracy education did not differ from children who followed the regular curriculum on mathematical skills, suggesting that benefits for numeracy did not generalize to more advanced skills of addition and subtraction. Since, in general, it can be

Developing a Multi-Dimensional Early Elementary Mathematics Screener and Diagnostic Tool: The Primary Mathematics Assessment

ERIC Educational Resources Information Center

Brendefur, Jonathan L.; Johnson, Evelyn S.; Thiede, Keith W.; Strother, Sam; Severson, Herb H.

2018-01-01

There is a critical need to identify primary level students experiencing difficulties in mathematics to provide immediate and targeted instruction that remediates their deficits. However, most early math screening instruments focus only on the concept of number, resulting in inadequate and incomplete information for teachers to design intervention…

Contributions of Motivation, Early Numeracy Skills, and Executive Functioning to Mathematical Performance. A Longitudinal Study.

PubMed

Mercader, Jessica; Miranda, Ana; Presentación, M Jesús; Siegenthaler, Rebeca; Rosel, Jesús F

2017-01-01

The main goal of this longitudinal study is to examine the power of different variables and its dynamic interactions in predicting mathematical performance. The model proposed in this study includes indicators of motivational constructs (learning motivation and attributions), executive functioning (inhibition and working memory), and early numeracy skills (logical operations, counting, and magnitude comparison abilities), assessed during kindergarten, and mathematical performance in the second year of Primary Education. The sample consisted of 180 subjects assessed in two moments (5-6 and 7-8 years old). The results showed an indirect effect of initial motivation on later mathematical performance. Executive functioning and early numeracy skills mediated the effect of motivation on later mathematic achievement. Practical implications of these findings for mathematics education are discussed.

Contributions of Motivation, Early Numeracy Skills, and Executive Functioning to Mathematical Performance. A Longitudinal Study

PubMed Central

Mercader, Jessica; Miranda, Ana; Presentación, M. Jesús; Siegenthaler, Rebeca; Rosel, Jesús F.

2018-01-01

The main goal of this longitudinal study is to examine the power of different variables and its dynamic interactions in predicting mathematical performance. The model proposed in this study includes indicators of motivational constructs (learning motivation and attributions), executive functioning (inhibition and working memory), and early numeracy skills (logical operations, counting, and magnitude comparison abilities), assessed during kindergarten, and mathematical performance in the second year of Primary Education. The sample consisted of 180 subjects assessed in two moments (5–6 and 7–8 years old). The results showed an indirect effect of initial motivation on later mathematical performance. Executive functioning and early numeracy skills mediated the effect of motivation on later mathematic achievement. Practical implications of these findings for mathematics education are discussed. PMID:29379462

A Multisite Study of High School Mathematics Curricula and the Impact of Taking a Developmental Mathematics Course in College

ERIC Educational Resources Information Center

Harwell, Michael; Dupuis, Danielle; Post, Thomas R.; Medhanie, Amanuel; LeBeau, Brandon

2014-01-01

The relationship between high school mathematics curricula and the likelihood of students who enroll in a developmental (non-credit bearing) course in college taking additional mathematics courses was studied. The results showed that high school mathematics curriculum, years of high school mathematics completed, and ACT mathematics scores were…

Numerical capacities as domain-specific predictors beyond early mathematics learning: a longitudinal study.

PubMed

Reigosa-Crespo, Vivian; González-Alemañy, Eduardo; León, Teresa; Torres, Rosario; Mosquera, Raysil; Valdés-Sosa, Mitchell

2013-01-01

The first aim of the present study was to investigate whether numerical effects (Numerical Distance Effect, Counting Effect and Subitizing Effect) are domain-specific predictors of mathematics development at the end of elementary school by exploring whether they explain additional variance of later mathematics fluency after controlling for the effects of general cognitive skills, focused on nonnumerical aspects. The second aim was to address the same issues but applied to achievement in mathematics curriculum that requires solutions to fluency in calculation. These analyses assess whether the relationship found for fluency are generalized to mathematics content beyond fluency in calculation. As a third aim, the domain specificity of the numerical effects was examined by analyzing whether they contribute to the development of reading skills, such as decoding fluency and reading comprehension, after controlling for general cognitive skills and phonological processing. Basic numerical capacities were evaluated in children of 3(rd) and 4(th) grades (n=49). Mathematics and reading achievements were assessed in these children one year later. Results showed that the size of the Subitizing Effect was a significant domain-specific predictor of fluency in calculation and also in curricular mathematics achievement, but not in reading skills, assessed at the end of elementary school. Furthermore, the size of the Counting Effect also predicted fluency in calculation, although this association only approached significance. These findings contrast with proposals that the core numerical competencies measured by enumeration will bear little relationship to mathematics achievement. We conclude that basic numerical capacities constitute domain-specific predictors and that they are not exclusively "start-up" tools for the acquisition of Mathematics; but they continue modulating this learning at the end of elementary school.

Ways of Knowing: Implications of Writing Curriculum in an Early Childhood Classroom

ERIC Educational Resources Information Center

Furman, Cara Elizabeth

2017-01-01

Early childhood writing curriculums typically focus on skills and encouraging interest. What children are asked to write is rarely closely examined. Through a self-study of my first and second grade classroom, in this paper I look at the implications of genre when teaching young children. I first identify some of the problems of a popular personal…

Learning with Pictures, Signs and Symbols (A Language Arts and Consumer Mathematics Curriculum for the 0-4 Level ABE Student). Final Report.

ERIC Educational Resources Information Center

Robinson, Nancy; Selkirk, Betty

The ARIN Adult Learning Center in Indiana, Pennsylvania conducted a project to develop language arts and consumer mathematics curriculums for O-4 level adult basic education (ABE) students. Using the five knowledge areas of the adult performance levels as established by the University of Texas, (consumer economics, health, occupational knowledge,…

Early Childhood Teachers' Misconceptions about Mathematics Education for Young Children in the United States

ERIC Educational Resources Information Center

Lee, Joon Sun; Ginsburg, Herbert P.

2009-01-01

In this article we discuss nine common misconceptions about learning and teaching mathematics for young children that are widespread among prospective and practicing early childhood teachers in the United States. These misconceptions include: 1. Young children are not ready for mathematics education; 2. Mathematics is for some bright kids with…

Developing Mathematically Promising Students.

ERIC Educational Resources Information Center

Sheffield, Linda Jensen, Ed.

This book, written on the recommendation of the Task Force on Mathematically Promising Students, investigates issues involving the development of promising mathematics students. Recommendations are made concerning topics such as the definition of promising students; the identification of such students; appropriate curriculum, instruction, and…

An Analysis of Mathematics Interventions: Increased Time-on-Task Compared with Computer-Assisted Mathematics Instruction

ERIC Educational Resources Information Center

Calhoun, James M., Jr.

2011-01-01

Student achievement is not progressing on mathematics as measured by state, national, and international assessments. Much of the research points to mathematics curriculum and instruction as the root cause of student failure to achieve at levels comparable to other nations. Since mathematics is regarded as a gate keeper to many educational…

Early Math Trajectories: Low-Income Children's Mathematics Knowledge from Ages 4 to 11

ERIC Educational Resources Information Center

Rittle-Johnson, Bethany; Fyfe, Emily R.; Hofer, Kerry G.; Farran, Dale C.

2017-01-01

Early mathematics knowledge is a strong predictor of later academic achievement, but children from low-income families enter school with weak mathematics knowledge. An early math trajectories model is proposed and evaluated within a longitudinal study of 517 low-income American children from ages 4 to 11. This model includes a broad range of math…

Mathematical Literacy--It's Become Fundamental

ERIC Educational Resources Information Center

McCrone, Sharon Soucy; Dossey, John A.

2007-01-01

The rising tide of numbers and statistics in daily life signals a need for a fundamental broadening of the concept of literacy: mathematical literacy assuming a coequal role in the curriculum alongside language-based literacy. Mathematical literacy is not about studying higher levels of formal mathematics, but about making math relevant and…

Student Perceptions about Applied Mathematics.

ERIC Educational Resources Information Center

Keif, Malcolm G.; Stewart, Bob R.

Background information on the history and rationale for Tech Prep introduces the description of a study that examines the perceptions of students enrolled in Applied Mathematics 1 and Applied Mathematics 2 courses which are based on the Center for Occupational Research and Development's (CORD) applied mathematics curriculum. The primary goal is to…

Linking Literacy and Mathematics: The Support for Common Core Standards for Mathematical Practice

ERIC Educational Resources Information Center

Swanson, Mary; Parrott, Martha

2013-01-01

In a new era of Common Core State Standards (CCSS), teachers are expected to provide more rigorous, coherent, and focused curriculum at every grade level. To respond to the call for higher expectations across the curriculum and certainly within reading, writing, and mathematics, educators should work closely together to create mathematically…

College Preparatory Mathematics: Change from Within.

ERIC Educational Resources Information Center

Kysh, Judith M.

1995-01-01

The College Preparatory Mathematics: Change from Within Project (CPM) was created to develop a rich, integrated mathematics curriculum, based on the best current wisdom of how people learn and the mathematics needed in an era of computers, and involving teachers in materials development. (MKR)

Infusing Human Rights into the Curriculum: The Case of the South African Revised National Curriculum Statement

ERIC Educational Resources Information Center

Carrim, Nazir; Keet, Andre

2005-01-01

This article reflects on experiences of attempting to infuse human rights in the South African Revised National Curriculum Statement (RNCS). Using our experiences as members of Human Rights and Inclusivity Group (HRIWG), one of the curriculum development structures set up for the RNCS, and focusing particularly on the Learning Area of Mathematics,…

Fadeout in an early mathematics intervention: Constraining content or preexisting differences?

PubMed

Bailey, Drew H; Nguyen, Tutrang; Jenkins, Jade Marcus; Domina, Thurston; Clements, Douglas H; Sarama, Julie S

2016-09-01

A robust finding across research on early childhood educational interventions is that the treatment effect diminishes over time, with children not receiving the intervention eventually catching up to children who did. One popular explanation for fadeout of early mathematics interventions is that elementary school teachers may not teach the kind of advanced content that children are prepared for after receiving the intervention, so lower-achieving children in the control groups of early mathematics interventions catch up to the higher-achieving children in the treatment groups. An alternative explanation is that persistent individual differences in children's long-term mathematical development result more from relatively stable preexisting differences in their skills and environments than from the direct effects of previous knowledge on later knowledge. We tested these 2 hypotheses using data from an effective preschool mathematics intervention previously known to show a diminishing treatment effect over time. We compared the intervention group to a matched subset of the control group with a similar mean and variance of scores at the end of treatment. We then tested the relative contributions of factors that similarly constrain learning in children from treatment and control groups with the same level of posttreatment achievement and preexisting differences between these 2 groups to the fadeout of the treatment effect over time. We found approximately 72% of the fadeout effect to be attributable to preexisting differences between children in treatment and control groups with the same level of achievement at posttest. These differences were fully statistically attenuated by children's prior academic achievement. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

Discussing Perception, Determining Provision: Teachers' Perspectives on the Applied Options of A-Level Mathematics

ERIC Educational Resources Information Center

Ward-Penny, Robert; Johnston-Wilder, Sue; Johnston-Wilder, Peter

2013-01-01

One-third of the current A-level mathematics curriculum is determined by choice, constructed out of "applied mathematics" modules in mechanics, statistics and decision mathematics. Although this choice arguably involves the most sizeable instance of choice in the current English school mathematics curriculum, and it has a significant…

Early Acceleration of Mathematics Students and its Effect on Growth in Self-esteem: A Longitudinal Study

NASA Astrophysics Data System (ADS)

Ma, Xin

2002-11-01

The Longitudinal Study of American Youth (LSAY) database was employed to examine the educational practice of early acceleration of students of mathematics on the development of their self-esteem across the entire secondary grade levels. Students were classified into three different academic categories (gifted, honors, and regular). Results indicated that, in terms of the development of their self-esteem, gifted students benefited from early acceleration, honors students neither benefited nor were harmed by early acceleration, and regular students were harmed by early acceleration. Early acceleration in mathematics promoted significant growth in self-esteem among gifted male students and among gifted, honors, and regular minority students. When students were accelerated, schools showed similar average growth in self-esteem among gifted students and regular students and a large effect of general support for mathematics on the average growth in self-esteem among honors students.

Experimenting with Mathematical Biology

ERIC Educational Resources Information Center

Sanft, Rebecca; Walter, Anne

2016-01-01

St. Olaf College recently added a Mathematical Biology concentration to its curriculum. The core course, Mathematics of Biology, was redesigned to include a wet laboratory. The lab classes required students to collect data and implement the essential modeling techniques of formulation, implementation, validation, and analysis. The four labs…

Mathematics as a Course of Study in Problem Solving: Then and Now.

ERIC Educational Resources Information Center

Ellis, Wade, Jr.

The mathematics curriculum in the first 2 years of college is a tool created to assist in solving problems. The current mathematics curriculum has changed little; the same topics, tied to the engineering and science curriculum, are taught as they were being taught in 1945. The problems that students need to solve have changed however. Both the…

How Persistent is a Diagnosis of Mathematical Disorder at an Early Age? A Longitudinal Study

ERIC Educational Resources Information Center

Desoete, Annemmie; De Weerd, Frauke; Vanderswalmen, Ruth; De Bond, Annemie

2014-01-01

The study was conducted to look at differences between children who outgrew and did not outgrow an early diagnosis of mathematical learning disorder (MD; n=13), and peers without MD (n=13). Children were tested at 5, 6, 7 and 10 years of age. About 54% of the children with an early diagnosis of MD still experienced mathematical difficulties at the…

Numerical Capacities as Domain-Specific Predictors beyond Early Mathematics Learning: A Longitudinal Study

PubMed Central

Reigosa-Crespo, Vivian; González-Alemañy, Eduardo; León, Teresa; Torres, Rosario; Mosquera, Raysil; Valdés-Sosa, Mitchell

2013-01-01

The first aim of the present study was to investigate whether numerical effects (Numerical Distance Effect, Counting Effect and Subitizing Effect) are domain-specific predictors of mathematics development at the end of elementary school by exploring whether they explain additional variance of later mathematics fluency after controlling for the effects of general cognitive skills, focused on nonnumerical aspects. The second aim was to address the same issues but applied to achievement in mathematics curriculum that requires solutions to fluency in calculation. These analyses assess whether the relationship found for fluency are generalized to mathematics content beyond fluency in calculation. As a third aim, the domain specificity of the numerical effects was examined by analyzing whether they contribute to the development of reading skills, such as decoding fluency and reading comprehension, after controlling for general cognitive skills and phonological processing. Basic numerical capacities were evaluated in children of 3rd and 4th grades (n=49). Mathematics and reading achievements were assessed in these children one year later. Results showed that the size of the Subitizing Effect was a significant domain-specific predictor of fluency in calculation and also in curricular mathematics achievement, but not in reading skills, assessed at the end of elementary school. Furthermore, the size of the Counting Effect also predicted fluency in calculation, although this association only approached significance. These findings contrast with proposals that the core numerical competencies measured by enumeration will bear little relationship to mathematics achievement. We conclude that basic numerical capacities constitute domain-specific predictors and that they are not exclusively “start-up” tools for the acquisition of Mathematics; but they continue modulating this learning at the end of elementary school. PMID:24255710

Dissect, Design, and Customize the Curriculum

ERIC Educational Resources Information Center

Tienken, Christopher H.

2013-01-01

Education bureaucrats in 45 states have approved the Common Core State Standards ([CCSS], 2010) as the de facto national curriculum. The implementation of the CCSS will be monitored by a national standardized test in language arts and mathematics. The confluence of a standardized curriculum enforced with a standardized test will entrench a…

Mathematics Teaching during the Early Years in Hong Kong: A Reflection of Constructivism with Chinese Characteristics?

ERIC Educational Resources Information Center

Ng, Sharon S. N.; Rao, Nirmala

2008-01-01

This paper characterizes early mathematics instruction in Hong Kong. The teaching of addition in three pre-primary and three lower primary schools was observed and nine teachers were interviewed about their beliefs about early mathematics teaching. A child-centered, play-based approach was evident but teachers emphasized discipline, diligence and…

A Study of Early Childhood Mathematics Teaching in the United States and China

ERIC Educational Resources Information Center

Li, Xia; Chi, Liping; DeBey, Mary; Baroody, Arthur J.

2015-01-01

Research Findings: The present study involved using a questionnaire to investigate the mathematics teaching practices of 74 U.S. and 67 Chinese early childhood teachers. Quantitative and qualitative analyses yielded several key findings. First, U.S. teachers are less intentional in mathematics teaching than their Chinese counterparts.…

The Effectiveness of the North Carolina Early Mathematics Placement Test in Preparing High School Students for College-Level Introductory Mathematics Courses

ERIC Educational Resources Information Center

Hilgoe, Ellen; Brinkley, Jason; Hattingh, Johannes; Bernhardt, Robert

2016-01-01

Since its establishment in 1996, the North Carolina Early Mathematics Placement Testing (NC EMPT) Program has provided a low stakes reality check of readiness for college-level mathematics to more than 600,000 high school students statewide. The program strives to help reduce the percentage of incoming college freshmen requiring mathematics…

Connecting Science and Mathematics: The Nature of Proof and Disproof in Science and Mathematics

ERIC Educational Resources Information Center

Oehrtman, Michael; Lawson, Anton E.

2008-01-01

Disagreements exist among textbook authors, curriculum developers, and even among science and mathematics educators/researchers regarding the meanings and roles of several key nature-of-science (NOS) and nature-of-mathematics (NOM) terms such as proof, disproof, hypotheses, predictions, theories, laws, conjectures, axioms, theorems, and…

Guided Inquiry as a Model for Curricular Resources in Mathematics

ERIC Educational Resources Information Center

Debritz, Christine; Horne, Rhonda

2013-01-01

Research and the Australian Curriculum both indicate the importance of teaching students to apply their mathematical knowledge to real world problems. When developing curriculum resources for Queensland state school teachers from Prep to Year 9, the Department's mathematics team identified the significance of embedding the inquiry process in these…

Connected Mathematics Project (CMP). What Works Clearinghouse Intervention Report. Updated

ERIC Educational Resources Information Center

What Works Clearinghouse, 2017

2017-01-01

"Connected Mathematics Project" (CMP) is a math curriculum for students in grades 6-8. It uses interactive problems and everyday situations to explore mathematical ideas, with a goal of fostering a problem-centered, inquiry-based learning environment. At each grade level, the curriculum covers numbers, algebra, geometry/measurement,…

Klein's Plan B in the Early Teaching of Analysis: Two Theoretical Cases of Exploring Mathematical Links

ERIC Educational Resources Information Center

Kondratieva, Margo; Winsløw, Carl

2018-01-01

We present a theoretical approach to the problem of the transition from Calculus to Analysis within the undergraduate mathematics curriculum. First, we formulate this problem using the anthropological theory of the didactic, in particular the notion of praxeology, along with a possible solution related to Klein's "Plan B": here,…

Back in Time on a Mathematics Trail

ERIC Educational Resources Information Center

Moffett, Pamela

2010-01-01

The recently revised "Northern Ireland Primary Curriculum" recommends that teachers make use of the environment to extend children's understanding of mathematics. One approach to using the environment in mathematics is to take children on a mathematics trail. A mathematics trail uses the resources and features within the environment as a…

Early childhood mathematics intervention.

PubMed

Clements, Douglas H; Sarama, Julie

2011-08-19

Preschool and primary grade children have the capacity to learn substantial mathematics, but many children lack opportunities to do so. Too many children not only start behind their more advantaged peers, but also begin a negative trajectory in mathematics. Interventions designed to facilitate their mathematical learning during ages 3 to 5 years have a strong positive effect on these children's lives for many years thereafter.

Does a Curriculum Integration Intervention to Improve the Mathematics Achievement of Students Diminish Their Acquisition of Technical Competence? An Experimental Study in Agricultural Mechanics

ERIC Educational Resources Information Center

Parr, Brian A.; Edwards, M. Craig; Leising, James G.

2008-01-01

The purpose of this study was to empirically test the hypothesis that students who participated in a contextualized, mathematics-enhanced high school agricultural power and technology curriculum and aligned instructional approach would not experience significant diminishment in acquisition of technical skills related to agricultural power and…

Middle-School Mathematics Teachers' Beliefs in NCTM's Vision

ERIC Educational Resources Information Center

Perrin, John Robert

2012-01-01

This study examined the extent to which seventh- and eighth-grade mathematics teachers are aware of National Council of Teachers of Mathematics (NCTM) standards documents, Curriculum and Evaluation Standards for School Mathematics and Principles and Standards for School Mathematics and agree with NCTM's vision of school mathematics as expressed in…

Learning Mathematical Concepts through Authentic Learning

ERIC Educational Resources Information Center

Koh, Noi Keng; Low, Hwee Kian

2010-01-01

This paper explores the infusion of financial literacy into the Mathematics curriculum in a secondary school in Singapore. By infusing financial literacy, a core theme in the 21st century framework, into mathematics education, this study investigated the impact of using financial literacy-rich mathematics lessons by using validated learning…

Managing Cognitive Load in the Mathematics Classroom

ERIC Educational Resources Information Center

Chinnappan, Mohan; Chandler, Paul

2010-01-01

Contemporary debates on effective pedagogies for K-12 mathematics have called for shifts in the way teachers and teacher educators conceptualise mathematics as a subject and how it should be taught. This is reflected by changes in the curriculum including the inclusion of a strand called Working Mathematically within K-12 mathematics curriculum…

Into the Curriculum.

ERIC Educational Resources Information Center

School Library Media Activities Monthly, 1986

1986-01-01

Provides fully-developed library media activities designed to be used in connection with specific curriculum units in mathematics (consumer education); reading and language arts ("Foolish People in Folk Tales"); science (dinosaurs); and social studies (Roman cities and Third World countries). (Author/EM)

A Critical Analysis of Concepts Associated with Sustainability in Early Childhood Curriculum Frameworks across Five National Contexts

ERIC Educational Resources Information Center

Weldemariam, Kassahun; Boyd, Diane; Hirst, Nicky; Sageidet, Barbara Maria; Browder, Jamison K.; Grogan, Leanne; Hughes, Fran

2017-01-01

Curriculum frameworks have an important role in providing guidance to early childhood practitioners on how to integrate knowledge about sustainability into their practice. This article examines how ideas about sustainability are integrated in the early childhood curricula for Australia, England, Norway, Sweden and the USA. The analyses were guided…

The Making of Global Citizens: Traces of Cosmopolitanism in the New Zealand Early Childhood Curriculum, "Te Whariki"

ERIC Educational Resources Information Center

Duhn, Iris

2006-01-01

The first New Zealand early childhood curriculum framework, "Te Whariki", was published in 1996. "Te Whariki" presents quality in early childhood education as productive of a particular type of child. In this article the author argues that "Te Whariki" is not about "best practice" but about producing the…

Mathematics Curriculum Guide for Spanish-Speaking Students, Levels E, F. Field Test. Working Draft = Guia didactica de matematicas, Niveles E, F. Edicion Experimental.

ERIC Educational Resources Information Center

Chicago Board of Education, IL. Dept. of Curriculum.

The curriculum guide for mathematics instruction in the bilingual education program of the Chicago public schools is designed to assist teachers in the instruction of limited-English-speaking students in their native language. The guide outlines, for each of two levels, lessons on absolute and relative values of numbers, whole number operations,…

A multi-disciplinary curriculum for 11- to 13-year-olds: immunization, plus!

PubMed

Glik, D C; Stone, K M; McNeil, J D; Berkanovic, E; Jones, M C; Richardes, D A; Mirocha, J M

1997-09-01

A sixth grade curriculum entitled "Immunization, Plus!" Was developed to promote adolescent immunization. This targeted immunization curriculum utilized contemporary learning theory and innovative teaching approaches and styles to maximize acceptability among educators. Because instructional time in school was limited, a thematic curriculum was created to embed immunization and communicable disease content within mathematics, science/health, and language arts units. The curriculum, which reflected the theory of multiple intelligences among students, offered an array of different learning formats, including linguistic, logical-mathematical, spatial, and bodily-kinesthetic. The curriculum was made available free of charge to school districts in California, and its evaluation was planned to track distribution, utilization, and changes in students' knowledge, attitude, and behavior.

Computer programming in the UK undergraduate mathematics curriculum

NASA Astrophysics Data System (ADS)

Sangwin, Christopher J.; O'Toole, Claire

2017-11-01

This paper reports a study which investigated the extent to which undergraduate mathematics students in the United Kingdom are currently taught to programme a computer as a core part of their mathematics degree programme. We undertook an online survey, with significant follow-up correspondence, to gather data on current curricula and received replies from 46 (63%) of the departments who teach a BSc mathematics degree. We found that 78% of BSc degree courses in mathematics included computer programming in a compulsory module but 11% of mathematics degree programmes do not teach programming to all their undergraduate mathematics students. In 2016, programming is most commonly taught to undergraduate mathematics students through imperative languages, notably MATLAB, using numerical analysis as the underlying (or parallel) mathematical subject matter. Statistics is a very popular choice in optional courses, using the package R. Computer algebra systems appear to be significantly less popular for compulsory first-year courses than a decade ago, and there was no mention of logic programming, functional programming or automatic theorem proving software. The modal form of assessment of computing modules is entirely by coursework (i.e. no examination).

Mathematics I. Curriculum Guide. Bulletin 1608.

ERIC Educational Resources Information Center

Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.

In response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide was developed by a statewide committee to present the content that should be taught in Mathematcs I. It was piloted by teachers in representative school systems and subsequently revised. Six goals for the course are listed, followed…

Pre-K Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2007

2007-01-01

"Pre-K Mathematics" is a supplemental curriculum designed to develop informal mathematical knowledge and skills in preschool children. Mathematical content is organized into seven units. Specific mathematical concepts and skills from each unit are taught in the classroom through teacher-guided, small-group activities with concrete…

Assessing the Potential of Mathematics Textbooks to Promote Deep Learning

ERIC Educational Resources Information Center

Shield, Malcolm; Dole, Shelley

2013-01-01

Curriculum documents for mathematics emphasise the importance of promoting depth of knowledge rather than shallow coverage of the curriculum. In this paper, we report on a study that explored the analysis of junior secondary mathematics textbooks to assess their potential to assist in teaching and learning aimed at building and applying deep…

Semantic Similarity Graphs of Mathematics Word Problems: Can Terminology Detection Help?

ERIC Educational Resources Information Center

John, Rogers Jeffrey Leo; Passonneau, Rebecca J.; McTavish, Thomas S.

2015-01-01

Curricula often lack metadata to characterize the relatedness of concepts. To investigate automatic methods for generating relatedness metadata for a mathematics curriculum, we first address the task of identifying which terms in the vocabulary from mathematics word problems are associated with the curriculum. High chance-adjusted interannotator…

Early Opportunities to Strengthen Academic Readiness: Effects of Summer Learning on Mathematics Achievement

ERIC Educational Resources Information Center

Little, Catherine A.; Adelson, Jill L.; Kearney, Kelly L.; Cash, Kathleen; O'Brien, Rebecca

2018-01-01

Students who come from low-income backgrounds tend to be underidentified and underserved in gifted education. Early interventions with learners of high potential from underserved groups, including exposure to challenging curriculum and summer opportunities, are important for nurturing these students' talents and preparing them for advanced…

Big Business, Race, and Gender in Mathematics Reform.

ERIC Educational Resources Information Center

Klein, David

This essay is divided into three sections that explain the history of mathematics reform and its conflicts focusing on the controversial California mathematics standards, discussing assumptions about ethnicity and gender in the mathematics reform movement, and describing the incorporation of technology into the mathematics curriculum. (Contains 22…

Forces and Issues Related to Curriculum and Instruction, K-6

ERIC Educational Resources Information Center

DeVault, M. Vere; Weaver, J. Fred

1970-01-01

Traces the development of elementary mathematics curriculum and instruction from colonial times to the present. Each section emphasizes four major issues: Why teach mathematics? What mathematics should be taught? How should the mathematics we teach be organized? How should we organize and implement instruction? Also included are several items…

The Alberta K-9 Mathematics Program of Studies with Achievement Indicators

ERIC Educational Resources Information Center

Alberta Education, 2007

2007-01-01

The "Alberta K-9 Mathematics Program of Studies with Achievement Indicators" has been derived from "The Common Curriculum Framework for K-9 Mathematics: Western and Northern Canadian Protocol," May 2006 (the Common Curriculum Framework). The program of studies incorporates the conceptual framework for Kindergarten to Grade 9…

GENERAL REPORT OF MATHEMATICS CONFERENCE AND TWO SPECIFIC REPORTS. (TITLE SUPPLIED).

ERIC Educational Resources Information Center

Educational Services, Inc., Watertown, MA.

THE FIRST PAPER, "REPORT OF MATHEMATICS CONFERENCE," IS A SUMMARY OF DISCUSSIONS BY 29 PARTICIPANTS IN A CONFERENCE ON CURRENT PROBLEMS IN MATHEMATICS EDUCATION RESEARCH. REPORTED ARE (1) RECENT PROGRESS, PROBLEMS, AND PLANS OF CURRICULUM DEVELOPMENT GROUPS, (2) GENERAL FORMULATION OF CURRICULUM AND METHODS, (3) TEACHER TRAINING, (4)…

Fadeout in an Early Mathematics Intervention: Constraining Content or Pre-existing Differences?

PubMed Central

Bailey, Drew H.; Nguyen, Tutrang; Jenkins, Jade Marcus; Domina, Thurston; Clements, Douglas H.; Sarama, Julie S.

2016-01-01

A robust finding across research on early childhood educational interventions is that the treatment effect diminishes over time, with children not receiving the intervention eventually catching up to children who did. One popular explanation for fadeout of early mathematics interventions is that elementary school teachers may not teach the kind of advanced content that children are prepared for after receiving the intervention, so lower-achieving children in the control groups of early mathematics interventions catch up to the higher-achieving children in the treatment groups. An alternative explanation is that persistent individual differences in children’s long-term mathematical development result more from relatively stable pre-existing differences in their skills and environments than from the direct effects of previous knowledge on later knowledge. We tested these two hypotheses using data from an effective preschool mathematics intervention previously known to show a diminishing treatment effect over time. We compared the intervention group to a matched subset of the control group with a similar mean and variance of scores at the end of treatment. We then tested the relative contributions of factors that similarly constrain learning in children from treatment and control groups with the same level of post-treatment achievement and pre-existing differences between these two groups to the fadeout of the treatment effect over time. We found approximately 72% of the fadeout effect to be attributable to pre-existing differences between children in treatment and control groups with the same level of achievement at post-test. These differences were fully statistically attenuated by children’s prior academic achievement. PMID:27505700

2012 National Survey of Science and Mathematics Education: Status of Middle School Mathematics

ERIC Educational Resources Information Center

Fulkerson, William O.

2013-01-01

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…

2012 National Survey of Science and Mathematics Education: Status of Elementary School Mathematics

ERIC Educational Resources Information Center

Malzahn, Kristen A.

2013-01-01

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…

2012 National Survey of Science and Mathematics Education: Status of High School Mathematics

ERIC Educational Resources Information Center

Smith, Adrienne A.

2013-01-01

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…

Music in the Early Childhood Curriculum: Qualitative Analysis of Pre-Service Teachers' Reflective Writing

ERIC Educational Resources Information Center

Barry, Nancy H.; Durham, Sean

2017-01-01

This qualitative study employed grounded theory to explore how a university-based summer practicum experience with community children (N = 55) revealed and shaped pre-service teachers' (N = 24) understanding of young children and their musical skills and dispositions; how early childhood music curriculum is designed; and supports and barriers to…

Mathematics in Power Technology.

ERIC Educational Resources Information Center

Trombley, Carl; And Others

This mathematics curriculum is designed to be taught by the technology education teacher during the power technology class over a period of 2 years. It is intended to be elective in nature; upon successful completion of both years, one-half credit in mathematics is to be awarded. A list of the academic competencies contained in the curriculum…

Quality Teaching in Mathematics

ERIC Educational Resources Information Center

Ediger, Marlow

2012-01-01

The best teaching possible needs to accrue in the mathematics curriculum. Pupils also need to become proficient in using mathematics in every day situations in life. Individuals buy goods and services. They pay for these in different ways, including cash. Here, persons need to be able to compute the total cost of items purchased and then pay for…

Into the Curriculum.

ERIC Educational Resources Information Center

School Library Media Activities Monthly, 1996

1996-01-01

Provides five fully developed library media activities designed for use with specific curriculum units in art, health and nutrition, mathematics, science, and social studies. Library media skills, objectives, grade levels, instructional roles, procedures, evaluation, and follow-up are described for each activity. Specific topics include aardvarks,…

Square One TV, Curriculum Connections Teacher's Guide.

ERIC Educational Resources Information Center

Children's Television Workshop, New York, NY.

This cross curriculum guide links mathematics, language arts, and social studies. The guide is divided into two sections. The first section provides a series of language arts activities and the second social studies activities. Within these two curriculum areas, the activities provided are based on three Square One TV formats: (1) Mathnet, the…

Fidelity of Implementation: Bringing Written Curriculum Materials into the Equation

ERIC Educational Resources Information Center

Superfine, Alison Castro; Marshall, Anne Marie; Kelso, Cathy

2015-01-01

Fidelity of curriculum implementation (FOI) is an important area of research because of the critical role it plays in understanding how and why curriculum materials work and how they can be improved. This analysis explores written features within the Math Trailblazers curriculum that may influence the ways teachers implement mathematics curriculum…

The Language of Mathematics in Science

ERIC Educational Resources Information Center

Boohan, Richard

2016-01-01

"The Language of Mathematics in Science" is an ASE/Nuffield project aimed at supporting teachers of 11-16 science in the use of mathematical ideas in the science curriculum. Two publications have been produced. This article focuses on the first of these, "The Language of Mathematics in Science: A Guide for Teachers of 11-16…

Everyday Mathematics®. What Works Clearinghouse Intervention Report. Updated November 2015

ERIC Educational Resources Information Center

What Works Clearinghouse, 2015

2015-01-01

The "Everyday Mathematics®" curriculum aims to provide students in prekindergarten through grade 6 with multiple opportunities to learn math concepts and practice skills. Since the release of the WWC's 2010 Everyday Mathematics report, the curriculum continues to be widely used and evaluated. This updated review includes 30 studies that…

Cognitive predictors of children's development in mathematics achievement: A latent growth modeling approach.

PubMed

Xenidou-Dervou, Iro; Van Luit, Johannes E H; Kroesbergen, Evelyn H; Friso-van den Bos, Ilona; Jonkman, Lisa M; van der Schoot, Menno; van Lieshout, Ernest C D M

2018-04-24

Research has identified various domain-general and domain-specific cognitive abilities as predictors of children's individual differences in mathematics achievement. However, research into the predictors of children's individual growth rates, namely between-person differences in within-person change in mathematics achievement is scarce. We assessed 334 children's domain-general and mathematics-specific early cognitive abilities and their general mathematics achievement longitudinally across four time-points within the first and second grades of primary school. As expected, a constellation of multiple cognitive abilities contributed to the children's starting level of mathematical success. Specifically, latent growth modeling revealed that WM abilities, IQ, counting skills, nonsymbolic and symbolic approximate arithmetic and comparison skills explained individual differences in the children's initial status on a curriculum-based general mathematics achievement test. Surprisingly, however, only one out of all the assessed cognitive abilities was a unique predictor of the children's individual growth rates in mathematics achievement: their performance in the symbolic approximate addition task. In this task, children were asked to estimate the sum of two large numbers and decide if this estimated sum was smaller or larger compared to a third number. Our findings demonstrate the importance of multiple domain-general and mathematics-specific cognitive skills for identifying children at risk of struggling with mathematics and highlight the significance of early approximate arithmetic skills for the development of one's mathematical success. We argue the need for more research focus on explaining children's individual growth rates in mathematics achievement. © 2018 John Wiley & Sons Ltd.

The Effects of a Mathematics Infusion Curriculum on Middle School Student Mathematics Achievement

ERIC Educational Resources Information Center

Burghardt, M. David; Lauckhardt, James; Kennedy, Maria; Hecht, Deborah; McHugh, Luisa

2015-01-01

Increasing mathematical competencies of American students has been a focus for educators, researchers, and policy makers alike. One purported approach to increase student learning is through connecting mathematics and science curricula. Yet there is a lack of research examining the impact of making these connections. The Mathematics Infusion into…

Curriculum Policy Seen Through High-Stakes Examinations: Mathematics and Biology in a Selection of School-Leaving Examinations from the Middle East and North Africa

ERIC Educational Resources Information Center

Valverde, Gilbert A.

2005-01-01

A study of curriculum goals set forth in school-leaving examinations in mathematics and biology from Egypt, Iran, Jordan, Lebanon, Morocco, and Tunisia benchmarked against the French baccalaureate examinations. This investigation uncovers and contrasts the goals of secondary education as they are put forward in the tests that are used in the…

Effects of a Prekindergarten Mathematics Intervention on Mathematical Abilities of Preschoolers with Low Socioeconomic Status

ERIC Educational Resources Information Center

DeLoach, Debbie

2012-01-01

Many children who have attended Georgia's prekindergarten programs are unprepared to enter kindergarten and learn a standards-based mathematics curriculum. In addition, a majority of prekindergarten programs in Georgia struggle to provide high quality mathematics instructional support for children. One such program is a childcare center located in…

Early Algebra with Graphics Software as a Type II Application of Technology

ERIC Educational Resources Information Center

Abramovich, Sergei

2006-01-01

This paper describes the use of Kid Pix-graphics software for creative activities of young children--in the context of early algebra as determined by the mathematics core curriculum of New York state. It shows how grade-two appropriate pedagogy makes it possible to bring about a qualitative change in the learning process of those commonly…

Deconstructing Building Blocks: Preschoolers' Spatial Assembly Performance Relates to Early Mathematics Skills

PubMed Central

Verdine, Brian N.; Golinkoff, Roberta Michnick; Hirsh-Pasek, Kathryn; Newcombe, Nora S.; Filipowicz, Andrew T.; Chang, Alicia

2013-01-01

This study focuses on three main goals: First, 3-year-olds' spatial assembly skills are probed using interlocking block constructions (N = 102). A detailed scoring scheme provides insight into early spatial processing and offers information beyond a basic accuracy score. Second, the relation of spatial assembly to early mathematics skills was evaluated. Spatial skill independently predicted a significant amount of the variability in concurrent mathematics performance. Finally, the relationship between spatial assembly skill and socioeconomic status, gender, and parent-reported spatial language was examined. While children's performance did not differ by gender, lower-SES children were already lagging behind higher-SES children in block assembly. Furthermore, lower-SES parents reported using significantly fewer spatial words with their children. PMID:24112041

Where Have All the Mathematics Teachers Gone?

ERIC Educational Resources Information Center

Clever, George

Three basic causes for the general decline in mathematics achievement among high school graduates nationally are poor motivation to learn math, poor math curriculum, and poor or no mathematics instruction. Many Native Americans drop mathematics because of lack of challenging courses or interesting teachers in their high schools. Since American…

"When Mathematical Activity Moves You": An Exploration of the Design and Use of Purposefully Embodied Mathematical Activities, Models, Contexts, and Environments

ERIC Educational Resources Information Center

Campbell, William James

2017-01-01

This dissertation describes a mathematics curriculum and instruction design experiment involving a series of embodied mathematical activities conducted in two Colorado elementary schools Activities designed for this experiment include multi-scalar number line models focused on supporting students' understanding of elementary mathematics. Realistic…

PROPOSED CURRICULUM PROGRAM FOR TEXAS MIGRATORY CHILDREN.

ERIC Educational Resources Information Center

Texas Education Agency, Austin.

A SPECIAL CURRICULUM IS ENVISIONED WHICH WOULD INCLUDE AN 8-HOUR SCHOOL DAY FOR 6 MONTHS OF THE YEAR. EMPHASIS WOULD BE PLACED ON ENGLISH, MATHEMATICS, AND SOCIAL STUDIES. STUDENT PROGRESS WOULD BE DETERMINED BY STANDARIZED TESTS, OR TESTS DESIGNED FOR THE SPECIAL CURRICULUM. GRADE PLACEMENT WOULD BE USED IN SOCIAL STUDIES, SCIENCE, PHYSICAL…

The Gap between Expectations and Reality: Integrating Computers into Mathematics Classrooms

ERIC Educational Resources Information Center

Guven, Bulent; Cakiroglu, Unal; Akkan, Yasar

2009-01-01

As a result of dramatic changes in mathematics education around the world, in Turkey both elementary and secondary school mathematics curriculums have changed in the light of new demands since 2005. In order to perform the expected change in newly developed curriculum, computer should be integrated into learning and teaching process. Teachers'…

University of Chicago School Mathematics Project (UCSMP). What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2016

2016-01-01

"University of Chicago School Mathematics Project" ("UCSMP") is a core mathematics curriculum that emphasizes problem solving, real-world applications, and the use of technology. The curriculum is based on a student-centered approach with a focus on active learning that incorporates reading and uses a flexible lesson…

Sunny Side Up in Mathematics.

ERIC Educational Resources Information Center

LaHart, David, Ed.

Energy is a problem affecting all individuals. To help today's students understand the problem and become realistic decision-makers, materials have been developed by the Sunny Side Up (in Mathematics) program to introduce energy concepts into the mathematics curriculum. Objectives of the program are to: (1) provide highly effective practice in…

Integrating the Design Mathematical Trail in Mathematics Curriculum for the Sixth Grade Student

ERIC Educational Resources Information Center

Tsao, Yea-Ling

2010-01-01

The article focused on the teaching materials of the sixth grade mathematics field and selected four units with the topics of "measurement and actual calculation" of figures and space to design the mathematical trail teaching activities with the characteristics of the school and expect to provide mathematical trail teaching activities for the…

[Mathematics - astronomy - astrology special library].

PubMed

Gluch, Sibylle

2011-01-01

About 1560 Elector August of Saxony created an unusual library--one distinguished within its period by both its specialization and location. Situated within the Kunstkammer this library was mostly dedicated to the mathematical sciences and related disciplines. It contained works by the most important authors on mathematics, astronomy, and astrology from the classical, medieval, and early modern periods. This essay traces the formation and composition of August's library, and examines its function: What kind of relationship existed between the library and the Kunstkammer? In what way did the library mirror the interests of the Elector, and to what extend does it permit inferences regarding the Elector's knowledge of mathematics? From the analysis August emerges not as a specialist with a deep understanding of mathematics, but as a particular aficionado of mathematical applications. As a practitioner and general follower of the mathematical arts he took part in a far-reaching intellectual network the center of which lay in the University of Wittenberg. Here, Melanchthon had effectively strengthened the importance of the mathematical disciplines within the university curriculum. He regarded mathematics as the foremost science, arguing that before all other disciplines its method enabled man to recognize the harmonic order of the world, and to discern divine providence. Thus, mathematics offered consoling stability and support in an often seemingly chaotic world torn by religious controversies. This kind of esteem for the mathematical sciences did not presuppose expert knowledge. Hence, the fact that August does not appear to have read the mathematical books he collected does not come as a contradiction. On the contrary, for August it sufficed to recognize the potential of the mathematical sciences, which he brought into life through the creation of a specialized library that developed a rhetoric of its own. The collection of his Kunstkammer library spoke of a

Internationalizing the University Mathematics Curriculum

ERIC Educational Resources Information Center

Appelbaum, Peter; Friedler, Louis M.; Ortiz, Carlos E.; Wolff, Edward F.

2009-01-01

This article offers suggestions for achieving the internationalization of university mathematics-related curricular offerings. It presents learning objectives and related student outcomes, raises general issues related to internationalization, and then discusses how to incorporate the objectives and address these issues within the university…

Symbolic-Graphical Calculators: Teaching Tools for Mathematics.

ERIC Educational Resources Information Center

Dick, Thomas P.

1992-01-01

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

Test Anxiety in Mathematics among Early Undergraduate Students in a British University in Malaysia

ERIC Educational Resources Information Center

Karjanto, Natanael; Yong, Su Ting

2013-01-01

The level of test anxiety in mathematics subjects among early undergraduate students at the University of Nottingham Malaysia Campus is studied in this article. The sample consists of 206 students taking several mathematics modules who completed the questionnaires on test anxiety just before they entered the venue for midterm examinations. The…

Mathematics in the Early Years.

ERIC Educational Resources Information Center

Copley, Juanita V., Ed.

Noting that young children are capable of surprisingly complex forms of mathematical thinking and learning, this book presents a collection of articles depicting children discovering mathematical ideas, teachers fostering students' informal mathematical knowledge, adults asking questions and listening to answers, and researchers examining…

Improving Mathematics Instruction Using Technology: A Vygotskian Perspective.

ERIC Educational Resources Information Center

Harvey, Francis A.; Charnitski, Christina Wotell

Strategies and programs for improving mathematics instruction should be derived from sound educational theory. The sociocultural learning theories of Vygotsky may offer guidance in developing technology-based mathematics curriculum materials consonant with the NCTM (National Council of Teachers of Mathematics) goals and objectives. Vygotsky's…

Grand Challenges and Opportunities in Mathematics Education Research

ERIC Educational Resources Information Center

Stephan, Michelle L.; Chval, Kathryn B.; Wanko, Jeffrey J.; Civil, Marta; Fish, Michael C.; Herbel-Eisenmann, Beth; Konold, Clifford; Wilkerson, Trena L.

2015-01-01

Mathematics education researchers seek answers to important questions that will ultimately result in the enhancement of mathematics teaching, learning, curriculum, and assessment, working toward ensuring that all students attain mathematics proficiency and increasing the numbers of students from all racial, ethnic, gender, and socioeconomic groups…

Longitudinal Study of Low and High Achievers in Early Mathematics

ERIC Educational Resources Information Center

Navarro, Jose I.; Aguilar, Manuel; Marchena, Esperanza; Ruiz, Gonzalo; Menacho, Inmaculada; Van Luit, Johannes E. H.

2012-01-01

Background: Longitudinal studies allow us to identify, which specific maths skills are weak in young children, and whether there is a continuing weakness in these areas throughout their school years. Aims: This 2-year study investigated whether certain socio-demographic variables affect early mathematical competency in children aged 5-7 years.…

Malfunction in Hong Kong's Curriculum Policymaking System: A Case Study of Curriculum Integration

ERIC Educational Resources Information Center

Yin, Shirley Yeung Sze; Chung, Lam Chi

2006-01-01

Designing a curriculum is much more than a technical process. Indeed, it could be called a political activity because stakeholders usually attribute different values to, and hold different expectations from, a new curriculum. As early as 1949, Tyler had raised this issue in his classic "Basic Principles of Curriculum and Instruction."…

The Use of Computers in Mathematics Education: A Paradigm Shift from "Computer Assisted Instruction" towards "Student Programming"

ERIC Educational Resources Information Center

Aydin, Emin

2005-01-01

The purpose of this study is to review the changes that computers have on mathematics itself and on mathematics curriculum. The study aims at investigating different applications of computers in education in general, and mathematics education in particular and their applications on mathematics curriculum and on teaching and learning of…

Mathematically Rich, Investigative Tasks for Teaching Algebra

ERIC Educational Resources Information Center

Day, Lorraine

2015-01-01

A challenge for teachers is to incorporate the Standards for Mathematical Practice (CCSSI 2010) throughout their teaching of mathematics so that the Common Core Standards do not revert back to a purely content-driven curriculum. One way to achieve this is through the use of mathematically rich, investigative tasks. These tasks encourage students…

Mathematics Anxiety in Secondary Students in England

ERIC Educational Resources Information Center

Chinn, Steve

2009-01-01

Whatever the changes that are made to the mathematics curriculum in England, there will always remain a problem with mathematics anxiety. Maths anxiety is rarely facilitative. This study examined aspects of mathematics in secondary schools and how students rated them as sources of anxiety. Over 2000 students in independent and mainstream schools…

Reform-Based Curriculum & Acquisition of the Levels

ERIC Educational Resources Information Center

Halat, Erdogan

2007-01-01

The aim of this study was to compare the acquisition of the van Hiele levels of sixth-grade students engaged in instruction using a reform-based curriculum with sixth-grade students engaged in instruction using a traditional curriculum. There were 273 sixth-grade mathematics students, 123 in the control group and 150 in the treatment group,…

Benefits of a High School Core Curriculum

ERIC Educational Resources Information Center

ACT, Inc., 2006

2006-01-01

Since the publication of "A Nation at Risk", ACT has recommended that students take a core curriculum in high school in order to be prepared for college-level work. ACT's recommended core curriculum consists of four years of English and three years each of mathematics, science, and social studies. The benefits to students of taking the right…

Writing about Class and Race Differences and Similarities in Early Childhood Mathematics: The Case of One Monograph

ERIC Educational Resources Information Center

Parks, Amy Noelle

2015-01-01

This article reports on a literature review of 49 articles that cited a single monograph East Lansing written in 1981 about early learning in mathematics to make claims of similarity or difference across lines of race and class in early mathematics. The review found that while about two-thirds of the articles cited the monograph to make claims of…

Utilizing an Early Childhood Science Curriculum: Factors Influencing Implementation and How Variations Affect Students' Skills and Attitudes

ERIC Educational Resources Information Center

Shamas-Brandt, Ellen

2012-01-01

Early childhood is a ripe time for students to begin learning science, but due to certain constraints, this instruction is not happening as frequently as it should. This mixed-methods, multiple case study examined how two teachers implemented an early childhood science curriculum, the "Young Scientist Series." The teacher participants…

Practicing Elementary Teachers' Perspectives of "Investigations" Curriculum.

ERIC Educational Resources Information Center

Ogolla, Penina A.

This in-depth case study explored the successes and struggles of elementary teachers as they implemented "Investigations in Number, Data, and Space," a K-5 research-based mathematics curriculum that offered students connected and meaningful mathematical problems and in-depth thinking. Data collection and analysis were based on the Zone…

Early Foundations for Mathematics Learning and Their Relations to Learning Disabilities.

PubMed

Geary, David C

2013-02-01

Children's quantitative competencies upon entry into school can have lifelong consequences. Children who start behind generally stay behind, and mathematical skills at school completion influence employment prospects and wages in adulthood. I review the current debate over whether early quantitative learning is supported by (a) an inherent system for representing approximate magnitudes, (b) an attentional-control system that enables explicit processing of quantitative symbols, such as Arabic numerals, or (c) the logical problem-solving abilities that facilitate learning of the relations among numerals. Studies of children with mathematical learning disabilities and difficulties have suggested that each of these competencies may be involved, but to different degrees and at different points in the learning process. Clarifying how and when these competencies facilitate early quantitative learning and developing interventions to address their impact on children have the potential to yield substantial benefits for individuals and for society.

Programmable Calculators: Implications for the Mathematics Curriculum.

ERIC Educational Resources Information Center

Spikell, Mark A., Ed.

This document is a collection of reports presented at a programable calculator symposium held in Seattle, Washington, in April, 1980, as part of the annual meeting of the National Council of Teachers of Mathematics (NCTM). The session was designed to review whether the programable calculator has a place in the school mathematics program, in light…

Secondary Schools Curriculum Guide, Mathematics, Grades 10-12. Revised.

ERIC Educational Resources Information Center

Cranston School Dept., RI.

Behavioral objectives for grades 10 through 12 are specified for plane geometry, algebra, general mathematics, computer mathematics, slide rule mathematics, basic college mathematics, trigonometry, analytic geometry, calculus and probability. Most sections present material in terms of portions of a school year. At least one major objective is…

Functions in the Secondary School Mathematics Curriculum

ERIC Educational Resources Information Center

Denbel, Dejene Girma

2015-01-01

Functions are used in every branch of mathematics, as algebraic operations on numbers, transformations on points in the plane or in space, intersection and union of pairs of sets, and so forth. Function is a unifying concept in all mathematics. Relationships among phenomena in everyday life, such as the relationship between the speed of a car and…

Early Mathematics Fluency with CCSSM

ERIC Educational Resources Information Center

Matney, Gabriel T.

2014-01-01

To develop second-grade students' confidence and ease, this author presents examples of learning tasks (Number of the Day, Word Problem Solving, and Modeling New Mathematical Ideas) that align with Common Core State Standards for Mathematics and that build mathematical fluency to promote students' creative expression of mathematical…

The High School Mathematics Library. Eighth Edition.

ERIC Educational Resources Information Center

Schaaf, William L.

This eighth edition of the bibliography reflects changes in emphasis in the secondary school mathematics curriculum. The booklet is addressed primarily to high school students of all ability levels and to their mathematics teachers, and should also be of interest to students and instructors of mathematics in two-year colleges as well as librarians…

Evaluation of the 10th Grade Computerized Mathematics Curriculum from the Perspective of the Teachers and Educational Supervisors in the Southern Region in Jordan

ERIC Educational Resources Information Center

Al-Tarawneh, Sabri Hassan; Al-Qadi, Haitham Mamdouh

2016-01-01

This study aimed at evaluating the 10th grade computerized mathematics curriculum from the perspective of the teachers and supervisors in the southern region in Jordan. The study population consisted of all the teachers who teach the 10th grade in the southern region, with the total of (309) teachers and (20) supervisors. The sample consisted of…

My Entirely Plausible Fantasy: Early Mathematics Education in the Age of the Touchscreen Computer

ERIC Educational Resources Information Center

Ginsburg, Herbert P.

2014-01-01

This paper offers an account of what early mathematics education could look like in an age of young digital natives. Each "Tubby," as the tablets are called, presents Nicole (our generic little child) with stimulating mathematics microworlds, from which, beginning at age 3, she can learn basic math concepts, as well as methods of…

Deconstructing Building Blocks: Preschoolers' Spatial Assembly Performance Relates to Early Mathematical Skills

ERIC Educational Resources Information Center

Verdine, Brian N.; Golinkoff, Roberta M.; Hirsh-Pasek, Kathryn; Newcombe, Nora S.; Filipowicz, Andrew T.; Chang, Alicia

2014-01-01

This study focuses on three main goals: First, 3-year-olds' spatial assembly skills are probed using interlocking block constructions (N = 102). A detailed scoring scheme provides insight into early spatial processing and offers information beyond a basic accuracy score. Second, the relation of spatial assembly to early mathematical skills…

Early-Years Swimming: Creating Opportunities for Adding Mathematical Capital to Under 5s

ERIC Educational Resources Information Center

Jorgensen, Robyn

2013-01-01

Drawing on survey data from over 2000 parents, this paper explores the possibility of early-years swimming to add mathematical capital to young children. Using developmental milestones as the basis, it was found that parents reported significantly earlier achievement on many of these milestones. Such data suggest that the early years swim…

The Impact of Institutional Factors on the Relationship Between High School Mathematics Curricula and College Mathematics Course-Taking and Achievement

ERIC Educational Resources Information Center

Harwell, Michael

2013-01-01

Meta-analytic methods were used to examine the moderating effect of institutional factors on the relationship between high school mathematics curricula and college mathematics course-taking and achievement from a sample of 32 colleges. The findings suggest that the impact of curriculum on college mathematics outcomes is not generally moderated by…

Evaluating the Suitability of Mathematical Thinking Problems for Senior High-School Students by Including Mathematical Sense Making and Global Planning

ERIC Educational Resources Information Center

van Velzen, Joke H.

2016-01-01

The mathematics curriculum often provides for relatively few mathematical thinking problems or non-routine problems that focus on a deepening of understanding mathematical concepts and the problem-solving process. To develop such problems, methods are required to evaluate their suitability. The purpose of this preliminary study was to find such an…

Need for Equipping Student Teachers with Language of Mathematics

ERIC Educational Resources Information Center

Gafoor, K. Abdul; Sarabi, M. K.

2015-01-01

The significance of curriculum in building up language of mathematics which enables learners to construct and communicate knowledge of mathematics has not received due attention even as the pedagogical challenges faced by the students in learning mathematics have been discussed for years. Learning language of mathematics is not only valuable in…

The research of 4th grade mathematical curriculum electronic picture book construction and development in integrating indigenous culture

NASA Astrophysics Data System (ADS)

Chen, Yen Ting; Hsin Wang, Juei

2017-02-01

This research aimed at integrating Seediq culture and mathematical course design for fourth-grade elementary school, and then transforming this mathematical course into an electronic picture book. During the process of electronic book development, the researchers collected videos of six participants engaged in discussion, reflection minutes after the meeting written by the attendants, the researchers' observation and review journals, and conversations with the participants. Then, researchers utilized Content Analysis to explore, try, review and retry steps of electronic book making process. The main findings: There are four periods of electronic book making process, research occurrence period, curriculum design period, electronic book transformation period, and result evaluation period. The picture book included the White Stone Legend born from Seediq seniors, historical battle for hunting field between tribes, and concepts of approximation, angle, triangle, and quadrangle features. At last, with the research result, this article presents the corroboration of related works, and then proposes suggestions of electronic book teaching and follow-up studies.

Core-Plus Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2010

2010-01-01

"Core-Plus Mathematics" is a four-year curriculum that replaces the traditional sequence with courses that each feature interwoven strands of algebra and functions, statistics and probability, geometry and trigonometry, and discrete mathematics. The first three courses in the series provide a common core of broadly useful mathematics,…

Integrative Approach for a Transformative Freshman-Level STEM Curriculum

PubMed Central

Curran, Kathleen L.; Olsen, Paul E.; Nwogbaga, Agashi P.; Stotts, Stephanie

2016-01-01

In 2014 Wesley College adopted a unified undergraduate program of evidence-based high-impact teaching practices. Through foundation and federal and state grant support, the college completely revised its academic core curriculum and strengthened its academic support structures by including a comprehensive early alert system for at-risk students. In this core, science, technology, engineering, and mathematics (STEM) faculty developed fresh manifestations of integrated concept-based introductory courses and revised upper-division STEM courses around student-centered learning. STEM majors can participate in specifically designed paid undergraduate research experiences in directed research elective courses. Such a college-wide multi-tiered approach results in institutional cultural change. PMID:27064213

Mitigating the Mathematical Knowledge Gap between High School and First Year University Chemical Engineering Mathematics Course

ERIC Educational Resources Information Center

Basitere, Moses; Ivala, Eunice

2015-01-01

This paper reports on a study carried out at a University of Technology, South Africa, aimed at identifying the existence of the mathematical knowledge gap and evaluating the intervention designed to bridge the knowledge gap amongst students studying first year mathematics at the Chemical Engineering Extended Curriculum Program (ECP). In this…

Precalculus teachers' perspectives on using graphing calculators: an example from one curriculum

NASA Astrophysics Data System (ADS)

Karadeniz, Ilyas; Thompson, Denisse R.

2018-01-01

Graphing calculators are hand-held technological tools currently used in mathematics classrooms. Teachers' perspectives on using graphing calculators are important in terms of exploring what teachers think about using such technology in advanced mathematics courses, particularly precalculus courses. A descriptive intrinsic case study was conducted to analyse the perspectives of 11 teachers using graphing calculators with potential Computer Algebra System (CAS) capability while teaching Functions, Statistics, and Trigonometry, a precalculus course for 11th-grade students developed by the University of Chicago School Mathematics Project. Data were collected from multiple sources as part of a curriculum evaluation study conducted during the 2007-2008 school year. Although all teachers were using the same curriculum that integrated CAS into the instructional materials, teachers had mixed views about the technology. Graphing calculator features were used much more than CAS features, with many teachers concerned about the use of CAS because of pressures from external assessments. In addition, several teachers found it overwhelming to learn a new technology at the same time they were learning a new curriculum. The results have implications for curriculum developers and others working with teachers to update curriculum and the use of advanced technologies simultaneously.