Curricular Coherence and the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Schmidt, William H.; Houang, Richard T.

2012-01-01

In this work, we explored the relationship of the Common Core State Standards in Mathematics (CCSSM) to student achievement. Building on techniques developed for the Third International Mathematics and Science Study (TIMSS), we found a very high degree of similarity between CCSSM and the standards of the highest-achieving nations on the 1995…

Mathematical Modeling, Sense Making, and the Common Core State Standards

ERIC Educational Resources Information Center

Schoenfeld, Alan H.

2013-01-01

On October 14, 2013 the Mathematics Education Department at Teachers College hosted a full-day conference focused on the Common Core Standards Mathematical Modeling requirements to be implemented in September 2014 and in honor of Professor Henry Pollak's 25 years of service to the school. This article is adapted from my talk at this conference…

Teacher Concerns and the Enacted Curriculum of the Common Core State Standards in High School Mathematics

ERIC Educational Resources Information Center

Diletti, Jeri S.

2017-01-01

The Common Core State Standards for Mathematics (CCSSM) highlight the importance of students' conceptual understanding, mathematical reasoning, and problem solving in order to prepare students for college and careers. However, the success of this reform effort largely depends on how teachers actually design and implement instruction based on the…

Slope across the Curriculum: Principles and Standards for School Mathematics and Common Core State Standards

ERIC Educational Resources Information Center

Nagle, Courtney; Moore-Russo, Deborah

2014-01-01

This article provides an initial comparison of the Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics by examining the fundamental notion of slope. Each set of standards is analyzed using eleven previously identified conceptualizations of slope. Both sets of standards emphasize Functional Property,…

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…

Transitioning to the Common Core State Standards for Mathematics: A Mixed Methods Study of Elementary Teachers' Experiences and Perspectives

ERIC Educational Resources Information Center

Swars, Susan Lee; Chestnutt, Cliff

2016-01-01

This mixed methods study explored elementary teachers' (n = 73) experiences with and perspectives on the recently implemented Common Core State Standards for Mathematics (CCSS-Mathematics) at a high-needs, urban school. Analysis of the survey, questionnaire, and interview data reveals the findings cluster around: familiarity with and preparation…

Assessing the Quality of the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Cobb, Paul; Jackson, Kara

2011-01-01

The authors comment on Porter, McMaken, Hwang, and Yang's recent analysis of the Common Core State Standards for Mathematics by critiquing their measures of the focus of the standards and the absence of an assessment of coherence. The authors then consider whether the standards are an improvement over most state mathematics standards by discussing…

Impacts of Professional Development on High School Mathematics Teachers as They Implement Common Core State Standards

ERIC Educational Resources Information Center

Saucedo, Ana A.

2017-01-01

The purpose of this qualitative study was to understand the perceptions of high school mathematics teachers regarding the support provided through professional development (PD) as they engage in the implementation of the Common Core State Standards (CCSS). By means of a qualitative instrumental case study, eight high school mathematics teachers…

Phoenix Rising: Bringing the Common Core State Mathematics Standards to Life

ERIC Educational Resources Information Center

Wu, Hung-Hsi

2011-01-01

Many sets of state and national mathematics standards have come and gone in the past two decades. The Common Core State Mathematics Standards (CCSMS), which were released in June of 2010, have been adopted by almost all states and will be phased in across the nation in 2014. The main difference between these standards and most of the others is…

Solving the Common Core Equation: Teaching Mathematics CCSS to Students with Moderate and Severe Disabilities

ERIC Educational Resources Information Center

Saunders, Alicia F.; Bethune, Keri S.; Spooner, Fred; Browder, Diane

2013-01-01

The Common Core State Standards (CCSS) in mathematics were created to help all students become prepared for the demands of future careers and life in an age of technology. Similarly, students with moderate and severe disability will need these skills to meet these changing expectations. Although mathematics instruction could focus on a few of the…

"Better to Be a Pessimist": A Narrative Inquiry into Mathematics Teachers' Experience of the Transition to the Common Core

ERIC Educational Resources Information Center

Martinie, Sherri L.; Kim, Jeong-Hee; Abernathy, Deborah

2016-01-01

The Common Core State Standards (CCSS) are a focus of state education policy today influencing curriculum implementation and assessment in public schools. The purpose of this narrative inquiry is to understand how high school mathematics teachers experience the transition period. Based on interviews with mathematics teachers in a high school in…

Mathematics Formative Assessment System--Common Core State Standards: A Randomized Field Trial in Kindergarten and First Grade

ERIC Educational Resources Information Center

Lang, Laura B.; Schoen, Robert R.; LaVenia, Mark; Oberlin, Maureen

2014-01-01

The Florida Center for Research in Science, Technology, Engineering and Mathematics (FCR-STEM) was awarded a grant by the Florida Department of Education to develop a Mathematics Formative Assessment System (MFAS) aligned with the Common Core State Standards (CCSS). Intended for both teachers and students, formative assessment is a process that…

What Should Common Core Assessments Measure?

ERIC Educational Resources Information Center

Chandler, Kayla; Fortune, Nicholas; Lovett, Jennifer N.; Scherrer, Jimmy

2016-01-01

The Common Core State Standards for mathematics promote ideals about learning mathematics by providing specific standards focused on conceptual understanding and incorporating practices in which students must participate to develop conceptual understanding. Thus, how we define learning is pivotal because our current definition isn't aligned with…

Common Core State Standards in the Middle Grades: What's New in the Geometry Domain and How Can Teachers Support Student Learning?

ERIC Educational Resources Information Center

Teuscher, Dawn; Tran, Dung; Reys, Barbara J.

2015-01-01

The Common Core State Standards for Mathematics (CCSSM) is a primary focus of attention for many stakeholders' (e.g., teachers, district mathematics leaders, and curriculum developers) intent on improving mathematics education. This article reports on specific content shifts related to the geometry domain in the middle grades (6-8)…

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…

The Common Core and Inverse Functions

ERIC Educational Resources Information Center

Edenfield, Kelly W.

2012-01-01

The widespread adoption of the Common Core State Standards for Mathematics (CCSSI 2010) shows a commitment to changing mathematics teaching and learning in pursuit of increasing student achievement. CCSSM should not be viewed as just another list of content standards for publishers and assessment groups to design their products around. Many…

Addressing the Standards for Mathematical Practice in a Calculus Class

ERIC Educational Resources Information Center

Pilgrim, Mary E.

2014-01-01

The Common Core State Standards (CCSS) provide teachers with the expectations and requirements that are meant to prepare K-12 students for college and the workforce (CCSSI 2010b). The Common Core State Standards for Mathematical Practice (SMPs) emphasize the development of skills and conceptual understanding for students to become proficient in…

Making It Happen: Common Core Standards

ERIC Educational Resources Information Center

National Council of Teachers of Mathematics, 2011

2011-01-01

This one-of-a-kind guide identifies and highlights the ways in which NCTM (National Council of Teachers of Mathematics) resources can support teachers as they implement and supplement the Common Core State Standards for Mathematics (CCSSM) in their states. The guide and accompanying charts are tools to help educators as they continue to make…

A Study of the Alignment between the NAEP Mathematics Framework and the Common Core State Standards for Mathematics (CCSS-M)

ERIC Educational Resources Information Center

Hughes, Gerunda B.; Daro, Phil; Holtzman, Deborah; Middleton, Kyndra

2013-01-01

Introduction: For decades, prior to the inception of the Common Core State Standards (CCSS), the National Assessment of Educational Progress (NAEP) was the only vehicle through which states could assess the progress of their students using a common metric. Now, 45 states, 4 U.S. territories, and the District of Columbia have adopted the CCSS to…

The Common Core State Standards: Comparisons of Access and Quality

ERIC Educational Resources Information Center

Wasserman, Nicholas H.

2011-01-01

Last year the United States unveiled the Common Core State Standards (CCSS) in English and Mathematics for grades K-12. In particular, the authors included two possible sequences of 8-12 mathematics courses that would fulfill the standards. Most notably, the courses titled "3a" and "3b" in these two sequences have become…

Oakland and San Francisco Create Course Pathways through Common Core Mathematics. White Paper

ERIC Educational Resources Information Center

Daro, Phil

2014-01-01

The Common Core State Standards for Mathematics (CCSS-M) set rigorous standards for each of grades 6, 7 and 8. Strategic Education Research Partnership (SERP) has been working with two school districts, Oakland Unified School District and San Francisco Unified School District, to evaluate extant policies and practices and formulate new policies…

Quality Online Resources and Supports for Educators Teaching the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Walters, Kirk; Smith, Toni; Leinwand, Steve; Ford, Jennifer; Scheopner Torres, Aubrey

2015-01-01

This study was designed in response to a request from rural educators in the Northeast for support in identifying high-quality online resources to implement the Common Core State Standards for Mathematics (CCSSM). The process for identifying online resources included selecting resources that had an easily navigable CCSSM organizational structure…

From the Classroom: Implementing the Common Core in English Language Arts and in Mathematics: Practitioners' Perspectives

ERIC Educational Resources Information Center

VanTassel-Baska, Joyce; Johnsen, Susan K.

2016-01-01

At the 61st National Association for Gifted Children (NAGC) Annual Conference in Baltimore, Maryland, two practitioner panels responded to questions about implementing the Common Core in English language arts (ELA) and in mathematics. After listening to their responses, the authors felt that the "Gifted Child Today" readers would enjoy…

Teachers' Perceptions of Preparedness Related to National Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Brown, Tykier

2016-01-01

With the adoption of the National Common Core State Standards in Mathematics (CCSSM) in many states and the lack of understanding and strategies to implement the new standards by classroom teachers, implementing effective professional development is vital. The focus of this qualitative case study was to provide insight into elementary school…

Research Commentary: Educational Technology--An Equity Challenge to the Common Core

ERIC Educational Resources Information Center

Kitchen, Richard; Berk, Sarabeth

2016-01-01

The implementation of the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010) has the potential to move forward key features of standards-based reforms in mathematics that have been promoted in the United States for more than 2 decades (e.g.,…

Automated Scoring of Mathematics Tasks in the Common Core Era: Enhancements to M-Rater in Support of "CBAL"™ Mathematics and the Common Core Assessments. Research Reports. ETS RR-13-26

ERIC Educational Resources Information Center

Fife, James H.

2013-01-01

The m-rater scoring engine has been used successfully for the past several years to score "CBAL"™ mathematics tasks, for the most part without the need for human scoring. During this time, various improvements to m-rater and its scoring keys have been implemented in response to specific CBAL needs. In 2012, with the general move toward…

Common Core State Standards for Mathematics: Love It or Hate It, Understand Those Who Don't

ERIC Educational Resources Information Center

Wagner, Patty Anne

2016-01-01

In this commentary, Wagner points out that the Common Core State Standards for Mathematics (CCSSM) has fueled strong reactions on either end of the spectrum, compelling its supporters and critics to argue their positions. Naturally neither side have interest in entertaining the arguments of the other. Wagner claims, however, that you develop the…

Gearing up to Teach the Common Core State Standards for Mathematics in Rural Northeast Region Schools. REL 2015-031

ERIC Educational Resources Information Center

Walters, Kirk; Torres, Aubrey Scheopner; Smith, Toni; Ford, Jennifer

2014-01-01

This study describes key challenges and necessary supports related to implementation of the Common Core State Standards for Mathematics (CCSSM) identified by rural math educators in the Northeast. The research team interviewed state and district math coordinators and surveyed teachers in Maine, New Hampshire, New York and Vermont, to assess their…

Promoting Mathematical Argumentation

ERIC Educational Resources Information Center

Rumsey, Chepina; Langrall, Cynthia W.

2016-01-01

The Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) highlight the mathematical habits that educators should be fostering in mathematics classrooms throughout K-grade 12 education. That argumentation and discourse are important components of developing mathematically proficient…

The Relationship between Elementary Teachers' Background in Mathematics, Teaching Self-Efficacy, and Teaching Outcome Expectancy When Implementing the Common Core State Standards

ERIC Educational Resources Information Center

Stuart, Jennifer Lynn

2017-01-01

The purpose of this correlation study was to identify a possible relationship between elementary teacher background in mathematics as measured by completed college math credit hours, district-provided professional development hours of training in Common Core math standards, and years of teaching experience, and teacher efficacy in math as measured…

Implementing the Common Core State Standards for Mathematics: A Comparison of Current District Content in 41 States. Working Paper #32

ERIC Educational Resources Information Center

Cogan, Leland; Schmidt, William; Houang, Richard

2013-01-01

Beginning in the spring of 2011 the Center for the Study of Curriculum at Michigan State University conducted a survey of school district curriculum directors/supervisors in the 41 states that had officially adopted the new Common Core State Standards for Mathematics (CCSSM). The Center's goal was to provide baseline information to inform and…

Gearing up to Teach the Common Core State Standards for Mathematics in the Rural Northeast Region. Stated Briefly. REL 2015-066

ERIC Educational Resources Information Center

Kirk, Walters; Smith, Toni M.; Ford, Jennifer; Scheopner Torres, Aubrey

2014-01-01

This study describes key challenges and necessary supports related to implementation of the Common Core State Standards for Mathematics (CCSSM) identified by rural math educators in the Northeast. The research team interviewed state and district math coordinators and surveyed teachers in Maine, New Hampshire, New York and Vermont, to assess their…

Information Is a Common Core Dish Best Served First

ERIC Educational Resources Information Center

Walkowiak, Temple A.

2015-01-01

There has been a spike in negative comments about mathematics and standards since the implementation of the Common Core State Standards. Regardless of whether the comments are fueled by social media or traditional media, educators need to be armed with strategies for helping parents understand, navigate, and embrace the Common Core's mathematics…

The Effectiveness of Professional Development Using a Checklist of Common Core State Standards for Mathematical Practice for Designing and Delivering Instruction on Algebra I Achievement

ERIC Educational Resources Information Center

Peretin, Janeen

2014-01-01

This study was designed to determine whether or not the use of focused professional development using a checklist based on the Common Core State Standards Mathematical Practices impacted students' math scores as measured by an assessment that requires the use of the practices. Additionally, the researcher sought to determine whether or not the use…

Activities for Challenging Gifted Learners by Increasing Complexity in the Common Core

ERIC Educational Resources Information Center

McKeone, Alyssa; Caruso, Lenora; Bettle, Kailyn; Chase, Ashley; Bryson, Bridget; Schneider, Jean S.; Rule, Audrey C.

2015-01-01

Gifted learners need opportunities for critical and creative thinking to stretch their minds and imaginations. Strategies for increasing complexity in the four core areas of language arts, mathematics, science, and social studies were addressed using the Common Core and Iowa Core Standards through several methods. Descriptive adjective object…

Putting Political Spectacle to Work: Understanding Local Resistance to the Common Core

ERIC Educational Resources Information Center

Szolowicz, Michael

2016-01-01

In the fall of 2013, a parents' group formed to protest the new Common Core based mathematics textbook recently adopted by their school district. Quickly allying with teachers, the new coalition began to, "hammer," the district to drop the Common Core and return to more traditional texts and pedagogies. They did so by speaking at…

Secondary Social Studies Teachers' Time Commitment When Addressing the Common Core State Standards

ERIC Educational Resources Information Center

Kenna, Joshua L.; Russell, William Benedict, III

2015-01-01

In 2010 the Common Core State Standards (CCSS) were officially released in America for mathematics and English language arts and soon adopted by 45 of the 50 states. However, within the English langue arts domain there were standards intended for secondary social studies teachers under the title, Common Core State Standards for English Language…

Wisconsin Model Early Learning Standards Alignment with Wisconsin Common Core State Standards for English Language Arts and Mathematics

ERIC Educational Resources Information Center

Wisconsin Department of Public Instruction, 2011

2011-01-01

Wisconsin's adoption of the Common Core State Standards provides an excellent opportunity for Wisconsin school districts and communities to define expectations from birth through preparation for college and work. By aligning the existing Wisconsin Model Early Learning Standards with the Wisconsin Common Core State Standards, expectations can be…

Common Core Math in the K-8 Classroom: Results from a National Teacher Survey

ERIC Educational Resources Information Center

Bay-Williams, Jennifer

2016-01-01

Successful implementation of the Common Core State Standards for Mathematics (CCSS-M) should result in noticeable differences in primary and middle school math classrooms across the United States. "Common Core Math in the K-8 Classroom: Results from a National Teacher Survey" takes a close look at how educators are implementing the…

Using Covariation Reasoning to Support Mathematical Modeling

ERIC Educational Resources Information Center

Jacobson, Erik

2014-01-01

For many students, making connections between mathematical ideas and the real world is one of the most intriguing and rewarding aspects of the study of mathematics. In the Common Core State Standards for Mathematics (CCSSI 2010), mathematical modeling is highlighted as a mathematical practice standard for all grades. To engage in mathematical…

Implications of Informal Education Experiences for Mathematics Teachers' Ability to Make Connections beyond Formal Classroom

ERIC Educational Resources Information Center

Popovic, Gorjana; Lederman, Judith S.

2015-01-01

The Common Core Standard for Mathematical Practice 4: Model with Mathematics specifies that mathematically proficient students are able to make connections between school mathematics and its applications to solving real-world problems. Hence, mathematics teachers are expected to incorporate connections between mathematical concepts they teach and…

An Investigation of the Effect of Interventions Based on Common Core Mathematical Practices on the Math Achievement of Struggling Students in Grade 6

ERIC Educational Resources Information Center

Murthy, Geetha J.

2016-01-01

This study examined the effect of the eight Common Core mathematical practices on math achievement and math attitudes for a sample of low-performing students in Grade 6. The treatment sample (n = 63) consisted of four classes of Grade 6 students who had scored below proficient levels in state math assessments. This study was conducted in a…

Listening Responsively

ERIC Educational Resources Information Center

Callahan, Kadian M.

2011-01-01

Standards documents, such as the Common Core State Standards for Mathematics and "Principles and Standards for School Mathematics", expect teachers to foster mathematics learning by engaging students in meaningful mathematical discourse to expose students to different ways of thinking about and solving problems and positively influence their…

Launching a Discourse-Rich Mathematics Lesson

ERIC Educational Resources Information Center

Trocki, Aaron; Taylor, Christine; Starling, Tina; Sztajn, Paola; Heck, Daniel

2014-01-01

The idea of elementary school students working together on mathematical tasks is not new, but recent attention to creating purposeful discourse in mathematics classrooms prompts teachers to revisit discourse-promoting strategies for mathematics lessons. The Common Core's Standards for Mathematical Practice (CCSSI 2010) encourage teachers to…

An Investigation of Mathematical Modeling with Pre-Service Secondary Mathematics Teachers

ERIC Educational Resources Information Center

Thrasher, Emily Plunkett

2016-01-01

The goal of this thesis was to investigate and enhance our understanding of what occurs while pre-service mathematics teachers engage in a mathematical modeling unit that is broadly based upon mathematical modeling as defined by the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council…

Professional Noticing: Developing Responsive Mathematics Teaching

ERIC Educational Resources Information Center

Thomas, Jonathan N.; Eisenhardt, Sara; Fisher, Molly H.; Schack, Edna O.; Tassell, Janet; Yoder, Margaret

2014-01-01

Thoughtful implementation of the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) presents an opportunity for increased emphasis on the development of mathematical understanding among students. Granted, ascertaining the mathematical understanding of an individual student is highly complex work and often exceedingly difficult.…

Making Sense of Mathematics

ERIC Educational Resources Information Center

Umphrey, Jan

2011-01-01

The National Council of Teachers of Mathematics (NCTM) is a voice and advocate for mathematics educators, working to ensure that all students receive equitable mathematics learning of the highest quality. To help teachers and school leaders understand the Common Core State Standards for Mathematics (CCSSM) and to point out how the CCSSM can be…

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…

Teachers' Conceptions of Mathematical Modeling

ERIC Educational Resources Information Center

Gould, Heather

2013-01-01

The release of the "Common Core State Standards for Mathematics" in 2010 resulted in a new focus on mathematical modeling in United States curricula. Mathematical modeling represents a way of doing and understanding mathematics new to most teachers. The purpose of this study was to determine the conceptions and misconceptions held by…

Orientations toward Mathematical Processes of Prospective Secondary Mathematics Teachers as Related to Work with Tasks

ERIC Educational Resources Information Center

Cannon, Tenille

2016-01-01

Mathematics can be conceptualized in different ways. Policy documents such as the National Council of Teachers of Mathematics (NCTM) (2000) and the Common Core State Standards Initiative (CCSSI) (2010), classify mathematics in terms of mathematical content (e.g., quadratic functions, Pythagorean theorem) and mathematical activity in the form of…

Oki-Doku: Number Puzzles

ERIC Educational Resources Information Center

Gomez, Cristina; Novak, Dani

2014-01-01

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) emphasize the Standards for Mathematical Practice (SMP) that describe processes and proficiencies included in the NCTM Process Standards (NCTM 2000) and in the Strands for Mathematical Proficiency (NRC 2001). The development of these mathematical practices should happen in…

Year 3 of Implementing the Common Core State Standards: States Prepare for Common Core Assessments

ERIC Educational Resources Information Center

Rentner, Diane Stark

2013-01-01

With the voluntary Common Core State Standards (CCSS), states have sought to establish clear, high expectations that are consistent across participating states and that signal what K-12 students should learn in mathematics and English language arts (ELA) to be prepared for college and careers. As of July 2013, the CCSS have been adopted by 45…

Brain stimulation, mathematical, and numerical training: Contribution of core and noncore skills.

PubMed

Looi, C Y; Cohen Kadosh, R

2016-01-01

Mathematical abilities that are correlated with various life outcomes vary across individuals. One approach to improve mathematical abilities is by understanding the underlying cognitive functions. Theoretical and experimental evidence suggest that mathematical abilities are subserved by "core" and "noncore" skills. Core skills are commonly regarded as the "innate" capacity to attend to and process numerical information, while noncore skills are those that are important for mathematical cognition, but are not exclusive to the mathematical domain such as executive functions, spatial skills, and attention. In recent years, mathematical training has been combined with the application of noninvasive brain stimulation to further enhance training outcomes. However, the development of more strategic training paradigms is hindered by the lack of understanding on the contributory nature of core and noncore skills and their neural underpinnings. In the current review, we will examine the effects of brain stimulation with focus on transcranial electrical stimulation on core and noncore skills, and its impact on mathematical and numerical training. We will conclude with a discussion on the theoretical and experimental implications of these studies and directions for further research. © 2016 Elsevier B.V. All rights reserved.

Learning to Assess and Assessing to Learn: A Descriptive Study of a District-Wide Mathematics Assessment Implementation

ERIC Educational Resources Information Center

Ringer, Catharina W.

2013-01-01

In today's mathematics education, there is an increasing emphasis on students' understanding of the mathematics set forth in standards documents such as the "Principles and Standards for School Mathematics" (National Council of Teachers of Mathematics, 2000) and, most recently, the "Common Core State Standards for Mathematics"…

Preserving Pelicans with Models That Make Sense

ERIC Educational Resources Information Center

Moore, Tamara J.; Doerr, Helen M.; Glancy, Aran W.; Ntow, Forster D.

2015-01-01

Getting students to think deeply about mathematical concepts is not an easy job, which is why we often use problem-solving tasks to engage students in higher-level mathematical thinking. Mathematical modeling, one of the mathematical practices found in the Common Core State Standards for Mathematics (CCSSM), is a type of problem solving that can…

Leaning on Mathematical Habits of Mind

ERIC Educational Resources Information Center

Sword, Sarah; Matsuura, Ryota; Cuoco, Al; Kang, Jane; Gates, Miriam

2018-01-01

Mathematical modeling has taken on increasing curricular importance in the past decade due in no small measure to the Common Core State Standards in Mathematics (CCSSM) identifying modeling as one of the Standards for Mathematical Practice (SMP 4, CCSSI 2010, p. 7). Although researchers have worked on mathematical modeling (Lesh and Doerr 2003;…

Empowering Mathematical Practices

ERIC Educational Resources Information Center

Coomes, Jacqueline; Lee, Hyung Sook

2017-01-01

Mathematics teachers want to empower students as mathematical thinkers and doers (NCTM 2000). Specific ways of thinking and doing mathematics were described in the Process Standards (NCTM 2000); they were further characterized as habits of mind (Mark, Goldenberg, and Sword 2010); and more recently, they were detailed in the Common Core's Standards…

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…

Second-Graders' Mathematical Practices for Solving Fraction Tasks

ERIC Educational Resources Information Center

Moyer-Packenham, Patricia S.; Bolyard, Johnna J.; Tucker, Stephen I.

2014-01-01

Recently, over 40 states in the United States adopted the Common Core State Standards for Mathematics (CCSSM) which include standards for content and eight standards for mathematical practices. The purpose of this study was to better understand the nature of young children's mathematical practices through an exploratory examination of the…

A Primer for Mathematical Modeling

ERIC Educational Resources Information Center

Sole, Marla

2013-01-01

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school…

Fostering Student Engagement with the Flip

ERIC Educational Resources Information Center

Moore, Amanda J.; Gillett, Matthew R.; Steele, Michael D.

2014-01-01

The Common Core Standards for Mathematical Practice (CCSSI 2010) and NCTM's "Focus in High School Mathematics: Reasoning and Sense Making" (2009) present a vision of high school classrooms in which the majority of the activity involves students working on rich mathematical problems and engaging in mathematical discourse. This model…

Missing the Promise of Mathematical Modeling

ERIC Educational Resources Information Center

Meyer, Dan

2015-01-01

The Common Core State Standards for Mathematics (CCSSM) have exerted enormous pressure on every participant in a child's education. Students are struggling to meet new standards for mathematics learning, and parents are struggling to understand how to help them. Teachers are growing in their capacity to develop new mathematical competencies, and…

The Use of Applets for Developing Understanding in Mathematics: A Case Study Using Maplets for Calculus with Continuity Concepts

ERIC Educational Resources Information Center

Patenaude, Raymond E.

2013-01-01

The Common Core State Standards for Mathematics (CCSSM) are founded on a long history of mathematics education research emphasizing the importance of teaching mathematics for understanding. The CCSSM along with the National Council of Teachers of Mathematics (NCTM) recommend the use of technology in the teaching of mathematics. New mobile…

Exploring Yellowstone National Park with Mathematical Modeling

ERIC Educational Resources Information Center

Wickstrom, Megan H.; Carr, Ruth; Lackey, Dacia

2017-01-01

Mathematical modeling, a practice standard in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), is a process by which students develop and use mathematics as a tool to make sense of the world around them. Students investigate a real-world situation by asking mathematical questions; along the way, they need to decide how to use…

Mathematics and Comprehensive Ideals

ERIC Educational Resources Information Center

Watson, Anne

2011-01-01

This article revisits methods and debates about teaching mathematics that were common in the 1980s and early 1990s, and then moves up to date with the findings from three mathematics departments that set out to make a difference for their lowest attaining students. The methods they used were distinctly focused on core mathematical ideas, and how…

A Study of Prospective Secondary Mathematics Teachers' Evolving Understanding of Reasoning-and-Proving

ERIC Educational Resources Information Center

Boyle, Justin D.

2012-01-01

Proof is a foundational mathematical activity that has been underrepresented in school mathematics. The recently adopted Common Core State Standards in Mathematics includes eight process standards, several of which promote the inclusion of reasoning and proof across all grades, courses, and students. If students are to reach the expectations…

Striking a Balance: Students' Tendencies to Oversimplify or Overcomplicate in Mathematical Modeling

ERIC Educational Resources Information Center

Gould, Heather; Wasserman, Nicholas H.

2014-01-01

With the adoption of the "Common Core State Standards for Mathematics" (CCSSM), the process of mathematical modeling has been given increased attention in mathematics education. This article reports on a study intended to inform the implementation of modeling in classroom contexts by examining students' interactions with the process of…

Discourse-Based Instructional Strategies to Engage Middle School Students with Standards for Mathematical

ERIC Educational Resources Information Center

Cookson, Sandra

2017-01-01

Student achievement in mathematics is correlated with factors related to student engagement. Improving engagement has the potential to improve student achievement at the middle school level. The Common Core State Standards for Mathematics explicate eight specific Standards for Mathematical Practice (SMPs) that clarify the types of skills and…

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…

Establishing and Sustaining an Effective Pre-Kindergarten Math Intervention at Scale

ERIC Educational Resources Information Center

Klein, Alice; Starkey, Prentice; DeFlorio, Lydia; Brown, E. Todd

2012-01-01

Educators are increasingly concerned about the low level of mathematics performance of U.S. students on the TIMSS and other international assessments of mathematics (National Mathematics Advisory Panel, 2008) as well as their insufficient preparation for mathematics standards, such as the Common Core State Standards. Students from low-income and…

Fracking: Drilling into Math and Social Justice

ERIC Educational Resources Information Center

Hendrickson, Katie A.

2015-01-01

Mathematical modeling, a focus of the Common Core State Standards for School Mathematics (CCSSI 2010) and one of the Standards for Mathematical Practice, is generally considered to be the process of exploring a real-world situation and making sense of it using mathematics (Lesh and Zawojewski 2007). Teachers need to create opportunities for…

Common Core Preparation in Special Education Teacher Education Programs: Beginning the Conversation

ERIC Educational Resources Information Center

Murphy, Michelle R.; Marshall, Kathleen J.

2015-01-01

The Common Core State Standards (CCSS) were developed to encourage a common focus of instruction and evaluation in the areas of mathematics, reading/language arts, writing, speaking, and listening. As of 2011, all but five states have adopted CCSS for math and English Language Arts (ELA), with another adopting only the standards for ELA. With…

Exploration of Patterns in a Calendar

ERIC Educational Resources Information Center

Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa

2014-01-01

The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

A High School Statistics Class Investigates the Death Penalty

ERIC Educational Resources Information Center

Brelias, Anastasia

2015-01-01

Recommendations for reforming high school mathematics curricula emphasize the importance of engaging students in mathematical investigations of societal issues (CCSSI [Common Core State Standards Initiative] 2010; NCTM [National Council of Teachers of Mathematics] 2000). Proponents argue that these investigations can positively influence students'…

U.S. Middle School Mathematics Teachers' Perceptions of the Standards for Mathematical Practice by Textbook Type

ERIC Educational Resources Information Center

Davis, Jon D.; Choppin, Jeffrey; Drake, Corey; Roth McDuffie, Amy; Carson, Cynthia

2018-01-01

An important component of the Common Core State Standards for Mathematics (CCSSM), used by the majority of states in the U.S., has the eight standards for mathematical practice (SMPs). While surveys have investigated teachers' perceptions of the CCSSM few have investigated middle school mathematics teachers' (MSMTs') (grades 6-8) perceptions of…

The Role of the Mathematics Supervisor in K-12 Education

ERIC Educational Resources Information Center

Greenes, Carole

2013-01-01

The implementation of "the Common Core Standards for Mathematics" and the assessments of those concepts, skills, reasoning methods, and mathematical practices that are in development necessitate the updating of teachers' knowledge of content, pedagogical techniques to enhance engagement and persistence, and strategies for responding to…

Anticipation Guides: Reading for Mathematics Understanding

ERIC Educational Resources Information Center

Adams, Anne E.; Pegg, Jerine; Case, Melissa

2015-01-01

With the acceptance by many states of the Common Core State Standards for Mathematics, new emphasis is being placed on students' ability to engage in mathematical practices such as understanding problems (including word problems), reading and critiquing arguments, and making explicit use of definitions (CCSSI 2010). Engaging students in…

Supporting Common Core Sense Making

ERIC Educational Resources Information Center

Keazer, Lindsay; Gerberry, Carla

2017-01-01

Imagine a mathematics classroom in which students engage in sharing ideas and reasoning through solutions to interesting mathematical problems. They are excited about mathematics and working on challenging problems that encourage collaboration and critical thinking. These are things that teachers want, but sometimes they do not know how to achieve…

Problem Solvers: Problem--Jesse's Train

ERIC Educational Resources Information Center

James, Julie; Steimle, Alice

2014-01-01

Persevering in problem solving and constructing and critiquing mathematical arguments are some of the mathematical practices included in the Common Core State Standards for Mathematics (CCSSI 2010). To solve unfamiliar problems, students must make sense of the situation and apply current knowledge. Teachers can present such opportunities by…

Using Google Apps to Develop the Mathematical Practices

ERIC Educational Resources Information Center

Layton, Rebecca D.; Cady, Jo Ann; Layton, Christopher A.

2017-01-01

Recent recommendations for the teaching of mathematics place an emphasis on the Common Core's Standards for Mathematical Practice (SMP) (CCSSI 2010). The SMPs emphasize constructing viable arguments, critiquing the ideas of others, reasoning abstractly and quantitatively, and using computational procedures. These skills, including the use of…

An Examination of the Statistical Problem-Solving Process as a Potential Means for Developing an Understanding of Argumentation

ERIC Educational Resources Information Center

Smith Baum, Brittany Deshae

2017-01-01

As part of the recent history of the mathematics curriculum, reasoning and argument have been emphasized throughout mathematics curriculum standards. Specifically, as part of the Common Core State Standards for Mathematics, the Standards for Mathematical Practice were presented, which included the expectation that students develop arguments and…

The State of State Standards--and the Common Core--in 2010

ERIC Educational Resources Information Center

Carmichael, Sheila Byrd; Martino, Gabrielle; Porter-Magee, Kathleen; Wilson, W. Stephen

2010-01-01

This review of state English language arts (ELA) and mathematics standards is the latest in a series of Fordham evaluations dating back to 1997. It comes at a critical juncture, as states across the land consider adoption of the Common Core State Standards. These are the authors' major findings: (1) Based on their criteria, the Common Core…

Building Squares and Discovering Patterns

ERIC Educational Resources Information Center

Whitin, David J.; Whitin, Phyllis

2014-01-01

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) define what children should understand and be able to do in K-grade 12. This document also includes a description of key mathematical processes and proficiencies, the Standards for Mathematical Practice (SMPs), which provide an important overview for the kind of robust thinking…

Using Generic Examples to Make Viable Arguments

ERIC Educational Resources Information Center

Adams, Anne E.; Ely, Rob; Yopp, David

2017-01-01

The twenty-first century has seen an increased call to train students to craft mathematical arguments. The third of the Common Core's (CCSS) Standards for Mathematical Practice (SMP 3) (CCSSI 2010) calls for all mathematically proficient students to "construct viable arguments" to support the truth of their ideas and to "critique…

CCSSM: Teaching in Grades 3 and 4

ERIC Educational Resources Information Center

Barlow, Angela T.; Harmon, Shannon

2012-01-01

Common Core State Standards for Mathematics (CCSSM) is different from the objectives that many teachers have previously experienced in their state frameworks. Although the mathematical topics of the two may be the same, the mathematical expectations within the Standards require a deeper understanding by teachers and students. In this article, the…

Investigating Integer Restrictions in Linear Programming

ERIC Educational Resources Information Center

Edwards, Thomas G.; Chelst, Kenneth R.; Principato, Angela M.; Wilhelm, Thad L.

2015-01-01

Linear programming (LP) is an application of graphing linear systems that appears in many Algebra 2 textbooks. Although not explicitly mentioned in the Common Core State Standards for Mathematics, linear programming blends seamlessly into modeling with mathematics, the fourth Standard for Mathematical Practice (CCSSI 2010, p. 7). In solving a…

Using Technology to Prompt Good Questions about Distributions in Statistics

ERIC Educational Resources Information Center

Nabbout-Cheiban, Marie; Fisher, Forest; Edwards, Michael Todd

2017-01-01

The Common Core State Standards for Mathematics envisions data analysis as a key component of K-grade 12 mathematics instruction with statistics introduced in the early grades. Nonetheless, deficiencies in statistical learning persist throughout elementary school and beyond. Too often, mathematics teachers lack the statistical knowledge for…

An Intelligent Tutor-Assisted Mathematics Intervention Program for Students with Learning Difficulties

ERIC Educational Resources Information Center

Xin, Yan Ping; Tzur, Ron; Hord, Casey; Liu, Jia; Park, Joo Young; Si, Luo

2017-01-01

The Common Core Mathematics Standards have raised expectations for schools and students in the United States. These standards demand much deeper content knowledge from teachers of mathematics and their students. Given the increasingly diverse student population in today's classrooms and shortage of qualified special education teachers,…

iSTEM: Learning Mathematics through Minecraft

ERIC Educational Resources Information Center

Bos, Beth; Wilder, Lucy; Cook, Marcelina; O'Donnell, Ryan

2014-01-01

The Common Core State Standards can be taught with Minecraft, an interactive creative Lego®-like game. Integrating Science, Technology, Engineering, and Mathematics (iSTEM) authors share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K-grade 6 classrooms.

Mathematical Explorations: Freshwater Scarcity: A Proportional Representation

ERIC Educational Resources Information Center

King, Alessandra

2014-01-01

Middle school students' mathematical understanding benefits from connecting mathematics to other content areas in the curriculum. This month's activity explores the issue of the scarcity of freshwater, a natural resource (activity sheets are included). This activity concentrates on the critical areas mentioned in the Common Core State…

78 FR 24393 - Agency Information Collection Activities; Comment Request; Promoting Student Success in Algebra I...

Federal Register 2010, 2011, 2012, 2013, 2014

2013-04-25

... learning/ double-dose algebra can serve as possible avenues for improving student success in mathematics... needs in mathematics. This work will make an important contribution by producing actionable information... Common Core State Standards for Mathematics (CCSSM). The study centers around three major research...

The String Task: Not Just for High School

ERIC Educational Resources Information Center

Isler, Isil; Marum, Tim; Stephens, Ana; Blanton, Maria; Knuth, Eric; Gardiner, Angela Murphy

2014-01-01

The study of functions has traditionally received the most attention at the secondary level, both in curricula and in standards documents--for example, the Common Core State Standards for Mathematics (CCSSI 2010) and "Principles and Standards for School Mathematics" (National Council of Teachers of Mathematics [NCTM] 2000). However, the…

Building a Discourse Community: Initial Practices

ERIC Educational Resources Information Center

Hodge, Lynn Liao; Walther, Ashley

2017-01-01

Although it is not a new idea, discourse continues to be a topic of discussion among teachers, teacher educators, and researchers in mathematics education. The National Council of Teachers (NCTM) and the Common Core State Standards for Mathematics (CCSSM 2010) describe mathematics classrooms as discourse communities in which whole-class…

Mathematical Communication in State Standards before the Common Core

ERIC Educational Resources Information Center

Kosko, Karl Wesley; Gao, Yang

2017-01-01

Mathematical communication has been an important feature of standards documents since National Council of Teachers of Mathematics' (NCTM) (1989) "Curriculum and Evaluation Standards." Such an emphasis has influenced content standards of states from then to present. This study examined how effective the prevalence of various forms of…

Voter Perceptions: Common Core State Standards & Tests

ERIC Educational Resources Information Center

Achieve, Inc., 2014

2014-01-01

Since June 2010, 46 states and Washington DC have adopted the Common Core State Standards (CCSS)--K-12 standards in mathematics and English language arts/literacy developed through a multi-state initiative led by the National Governors Association and the Council of Chief State School Officers. Implementation of the standards is underway in all of…

Judging Alignment of Curriculum-Based Measures in Mathematics and Common Core Standards

ERIC Educational Resources Information Center

Morton, Christopher

2013-01-01

Measurement literature supports the utility of alignment models for application with state standards and large-scale assessments. However, the literature is lacking in the application of these models to curriculum-based measures (CBMs) and common core standards. In this study, I investigate the alignment of CBMs and standards, with specific…

Successfully Transitioning to Linear Equations

ERIC Educational Resources Information Center

Colton, Connie; Smith, Wendy M.

2014-01-01

The Common Core State Standards for Mathematics (CCSSI 2010) asks students in as early as fourth grade to solve word problems using equations with variables. Equations studied at this level generate a single solution, such as the equation x + 10 = 25. For students in fifth grade, the Common Core standard for algebraic thinking expects them to…

A Cognitive Core for Common State Standards

ERIC Educational Resources Information Center

Norton, Anderson; Boyce, Steven

2013-01-01

The purpose of this paper is to illustrate cognitive challenges introduced by Common Core State Standards for Mathematics (2010) with regard to conceptualizing fractions. We focus on a strand of standards that appear across grades three through five, which is best represented in grade four, by standard 4.NF.4a: "[Students should] understand a…

Effects of Enhanced Anchored Instruction on Skills Aligned to Common Core Math Standards

ERIC Educational Resources Information Center

Bottge, Brian A.; Cho, Sun-Joo

2013-01-01

This study compared how students with learning difficulties in math (MLD) who were randomly assigned to two instructional conditions answered items on problem solving tests aligned to the Common Core State Standards Initiative for Mathematics. Posttest scores showed improvement in the math performance of students receiving Enhanced Anchored…

States' Progress and Challenges in Implementing Common Core State Standards

ERIC Educational Resources Information Center

Kober, Nancy; Rentmer, Diane Stark

2011-01-01

Most states are participating in the initiative led by the National Governors Association and the Council of Chief State School Officers to develop and adopt voluntary common core state standards that will outline what elementary and secondary school students are expected to learn in English language arts and mathematics. Implementing these…

Mathematics Instruction and the Common Core: Where Do We Go from Here? Q&A with William Schmidt, Ph.D. REL Mid-Atlantic Webinar

ERIC Educational Resources Information Center

Regional Educational Laboratory Mid-Atlantic, 2015

2015-01-01

In this webinar, Dr. William Schmidt of Michigan State University discussed helpful instructional tools for promoting the higher order conceptual thinking found in the Common Core Standards. The PowerPoint presentation and webinar recording are also available.

The Common Core State Standards for Mathematics and College Readiness

ERIC Educational Resources Information Center

Kamin, David C.

2016-01-01

The Common Core State Standards were created with college and career readiness in mind to help prepare students to succeed upon graduation from high school. In this article, I examine college readiness as it has been described by both university mathematicians and educational researchers to precisely discern what will foster success in collegiate…

Lesson Planning with the Common Core

ERIC Educational Resources Information Center

Estes, Linda A.; McDuffie, Amy Roth; Tate, Cathie

2014-01-01

Planning a lesson can be similar to planning a road trip--a metaphor the authors use to describe how they applied research and theory to their lesson planning process. A map and mode of transportation, the Common Core State Standards for Mathematics (CCSSM) and textbooks as resources, can lead to desired destinations, such as students engaging in…

Technology and Engineering Education and the Common Core Standards

ERIC Educational Resources Information Center

Rust, Terrie

2012-01-01

The nearly unanimous state acceptance of the Common Core State Standards (CCSS) in mathematics and English Language Arts (ELA) jolted many teachers out of their complacency. How was this major change going to impact their teaching and their curriculum? What changes would be made in student assessments and teacher accountability? The good news is…

Activities for Students: Filling a Square with a Curve

ERIC Educational Resources Information Center

Martin, David R.

2014-01-01

Finding patterns and making conjectures are important thinking skills for students at all levels of mathematics education. Both the Common Core State Standards for Mathematics and the National Council of Teachers of Mathematics speak to the importance of these thought processes. NCTM suggests that students should be able to recognize reasoning and…

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…

Assisting Pupils in Mathematics Achievement (The Common Core Standards)

ERIC Educational Resources Information Center

Ediger, Marlow

2011-01-01

Mathematics teachers must expect reasonably high standards of achievement from pupils. Too frequently, pupils attain at a substandard level and more optimal achievement is necessary. Thus, pupils should have self esteem needs met in the school and classroom setting. Thus, learners feel that mathematics is worthwhile and effort must be put forth to…

Identifying Mathematics Content and Integrating It into Science Instruction

ERIC Educational Resources Information Center

Schwols, Amitra; Miller, Kirsten Brush

2012-01-01

Science teachers know that the mathematics concepts taught in the Common Core are critical for students' understanding of science. But what can a teacher do when his/her students lack the necessary mathematics skills to master science content? There may be other reasons besides students not paying attention in their math courses. Maybe the…

Goldilocks Discourse--Math Scaffolding That's Just Right

ERIC Educational Resources Information Center

Dale, Rachel; Scherrer, Jimmy

2015-01-01

The Common Core has brought a sharp shift in what it means to be mathematically literate. Becoming mathematically literate is now as much a matter of acquiring mathematical practices as of acquiring any defined set of content standards. This more ambitious definition of literacy presents a challenge not only for students, but also for teachers who…

Playing with Mathematics: How Play Supports Learning and the Common Core State Standards

ERIC Educational Resources Information Center

Zosh, Jennifer Mary; Hassinger-Das, Brenna; Toub, Tamara Spiewak; Hirsh-Pasek, Kathy; Golinkof, Roberta

2016-01-01

International rankings show children in the United States perform well below average in mathematics. There are also large mathematics achievement gaps between children of lower- and higher-socioeconomic status. As today's teachers face these challenges, they are also faced with the pressures of sweeping educational reforms that arrived with the…

What Is "Repeated Reasoning" in MP 8?

ERIC Educational Resources Information Center

Goldenberg, E. Paul; Carter, Cynthia J.; Mark, June; Nikula, Johannah; Spencer, Deborah B.

2017-01-01

The Common Core State Standards (CCSSI 2010) for Mathematical Practice have relevance even for those not in CCSS states because they describe the habits of mind that mathematicians--professionals as well as proficient school-age learners--use when doing mathematics. They provide a language to discuss aspects of mathematical practice that are of…

Good Questions: Great Ways to Differentiate Mathematics Instruction. Second Edition

ERIC Educational Resources Information Center

Small, Marian

2012-01-01

Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K-8 classroom. In this bestseller, math education expert Marian Small…

Relating Aspects of Motivation to Facets of Mathematical Competence Varying in Cognitive Demand

ERIC Educational Resources Information Center

Gilbert, Melissa C.

2016-01-01

The author investigated the relationship between aspects of student motivation and performance on mathematical tasks varying in cognitive demand relevant to meeting the expectations of the Common Core State Standards for Mathematics (CCSS-M). A sample of 479 primarily Latino middle school students completed established survey measures of…

From Adoption to Practice: Teacher Perspectives on the Common Core. Findings from a National Survey

ERIC Educational Resources Information Center

Editorial Projects in Education, 2014

2014-01-01

The Common Core State Standards Initiative will enter a critical period during the 2014-15 school year. Several states have recently reversed course on adoption of the mathematics and English/language arts standards, as vocal opposition gains prominence elsewhere. Despite fraying of the two national consortia developing assessments tied to the new…

A Case for Common Core State Standards: Gifted Curriculum 3.0

ERIC Educational Resources Information Center

VanTassel-Baska, Joyce

2012-01-01

The Common Core State Standards (CCSS) is the most successful attempt to gain consensus across states for 21st century standards in language arts and mathematics. So far, 46 states have accepted these standards, with two consortia organized to translate them into resources and sample activities. A consultant firm has been hired to develop the…

Teaching to the Common Core by Design, Not Accident

ERIC Educational Resources Information Center

Phillips, Vicki; Wong, Carina

2012-01-01

The Bill & Melinda Gates Foundation has created tools and supports intended to help teachers adapt to the Common Core State Standards in English language arts and mathematics. The tools seek to find the right balance between encouraging teachers' creativity and giving them enough guidance to ensure quality. They are the product of two years of…

Year 3 of Implementing the Common Core State Standards: Professional Development for Teachers and Principals

ERIC Educational Resources Information Center

Kober, Nancy; McIntosh, Shelby; Rentner, Diane Stark

2013-01-01

Timely, ongoing, and effective professional development for teachers and principals will be critical to the successful implementation of the Common Core State Standards (CCSS). These voluntary state-developed standards in mathematics and English language arts (ELA) outline the knowledge and skills that students in grades kindergarten through 12…

Teachers' Understanding of and Concerns about Mathematical Modeling in the Common Core Standards

ERIC Educational Resources Information Center

Wolf, Nancy Butler

2013-01-01

Educational reform is most likely to be successful when teachers are knowledgeable about the intended reform, and when their concerns about the reform are understood and addressed. The Common Core State Standards (CCSS) is an effort to establish a set of nationwide expectations for students and teachers. This study examined teacher understanding…

Common Core State Standards: An Example of Data-Less Decision Making

ERIC Educational Resources Information Center

Tienken, Christopher H., Ed.

2011-01-01

The Common Core State Standards (CCSS) initiative continues to move forward. As of October 2010, 37 states and territories made the CCSS the legal law of their land in terms of the mathematics and language arts curricula used in their public schools. Over 170 organizations, education-related and corporations alike, have pledged their support to…

Common Core Standards for High School Mathematics: A Quick-Start Guide

ERIC Educational Resources Information Center

Dempsey, Kathleen; Schwols, Armitra

2012-01-01

Shifting your high school's math program to new Common Core standards is much easier when teachers and leaders have this handy guide. Getting a copy for every staff member involved in the process ensures everyone knows: (1) How the six conceptual categories throughout the math standards are connected and reinforced; (2) How the modeling standards…

Using Teacher Evaluation Reform and Professional Development to Support Common Core Assessments

ERIC Educational Resources Information Center

Youngs, Peter

2013-01-01

The Common Core State Standards Initiative, in its aim to align diverse state curricula and improve educational outcomes, calls for K-12 teachers in the United States to engage all students in mathematical problem solving along with reading and writing complex text through the use of rigorous academic content. Until recently, most teacher…

How Business Leaders Can Support College and Career-Readiness: Staying the Course on Common Core. White Paper

ERIC Educational Resources Information Center

Meyer, Lori

2014-01-01

For the first time in the nation's history, a majority of students in the United States are learning based on a common set of standards for mathematics and English language arts (ELA) that will prepare them for the demands of the 21st century. The Common Core State Standards (CCSS) provide a clear, consistent framework for what students should…

Under Construction: Benchmark Assessments and Common Core Math Implementation in Grades K-8. Formative Evaluation Cycle Report for the Math in Common Initiative, Volume 1

ERIC Educational Resources Information Center

Flaherty, John, Jr.; Sobolew-Shubin, Alexandria; Heredia, Alberto; Chen-Gaddini, Min; Klarin, Becca; Finkelstein, Neal D.

2014-01-01

Math in Common® (MiC) is a five-year initiative that supports a formal network of 10 California school districts as they implement the Common Core State Standards in mathematics (CCSS-M) across grades K-8. As the MiC initiative moves into its second year, one of the central activities that each of the districts is undergoing to support CCSS…

Teachers' Implementation of Pre-Constructed Dynamic Geometry Tasks in Technology-Intensive Algebra 1 Classrooms

ERIC Educational Resources Information Center

Cayton, Charity Sue-Adams

2012-01-01

Technology use and a focus on 21st century skills, coupled with recent adoption of Common Core State Standards for Mathematics, marks a new challenge for mathematics teachers. Communication, discourse, and tools for enhancing discourse (NCTM, 1991, 2000) play an integral role in successful implementation of technology and mathematics standards.…

Teaching Mathematics to Secondary Students with Emotional and Behavioral Disorders: Challenges and Practical Suggestions for Teachers

ERIC Educational Resources Information Center

Mulcahy, Candace A.; Krezmien, Michael; Maccini, Paula

2014-01-01

While the Common Core State Standards and state learning standards guide teachers in what mathematical content knowledge should be addressed as well as the processes and proficiencies necessary for developing mathematical competence, several student- and teacher-related factors may hinder student access to the general education curriculum for…

Piloting a Co-Teaching Model for Mathematics Teacher Preparation: Learning to Teach Together

ERIC Educational Resources Information Center

Yopp, Ruth Helen; Ellis, Mark W.; Bonsangue, Martin V.; Duarte, Thomas; Meza, Susanna

2014-01-01

This study offers insights from an initial pilot of a co-teaching model for mathematics teacher preparation developed both to support experienced teachers in shifting their practice toward the vision set forth by NCTM and the Common Core State Standards for Mathematics (National Governors Association, 2010; NCTM, 2000, 2009) and to provide…

The Development and Scaling of the easyCBM CCSS Middle School Mathematics Measures. Technical Report #1207

ERIC Educational Resources Information Center

Anderson, Daniel; Irvin, P. Shawn; Patarapichayatham, Chalie; Alonzo, Julie; Tindal, Gerald

2012-01-01

In the following technical report, we describe the development and scaling of the easyCBM CCSS middle school mathematics measures, designed for use within a response to intervention framework. All items were developed in collaboration with experienced middle school mathematics teachers and were written to align with the Common Core State…

Mathematical Self-Efficacy and Understanding: Using Geographic Information Systems to Mediate Urban High School Students' Real-World Problem Solving

ERIC Educational Resources Information Center

DeBay, Dennis J.

2013-01-01

To explore student mathematical self-efficacy and understanding of graphical data, this dissertation examines students solving real-world problems in their neighborhood, mediated by professional urban planning technologies. As states and schools are working on the alignment of the Common Core State Standards for Mathematics (CCSSM), traditional…

Readin', Writin', an' 'Rithmetic: Literacy Strategies in High School Mathematics

ERIC Educational Resources Information Center

Principato, Angela M.

2017-01-01

Stagnant growth on national standardized tests in mathematics and reading and a focus on disciplinary literacy in the Common Core State Standards in ELA, history/social studies, science, and technical subjects has prompted a resurgence in utilizing literacy strategies in the content areas in high school. While literacy standards in mathematics are…

Let's Get Movin'

ERIC Educational Resources Information Center

Kurz, Terri L.; Serrano, Alejandra

2015-01-01

To support students' development of concepts in mathematics, the use of technology is often encouraged (Common Core State Standards Initiative [CCSSI] 2010). Technology can contextualize learning and provide a meaningful setting for mathematical ideas. Most teachers are supportive regarding the use of technology to encourage learning and…

Trends in State Implementation of the Common Core State Standards: Educator Effectiveness. Issue Brief

ERIC Educational Resources Information Center

National Governors Association, 2018

2018-01-01

In 2010, the National Governors Association Center for Best Practices (NGA Center) and the Council of Chief State School Officers (CCSSO) released the Common Core State Standards (CCSS) for K-12 English language arts/literacy and mathematics. CCSS are a state-led effort to define the knowledge and skills students need to graduate from high school…

A Path to Alignment: Connecting K-12 and Higher Education via the Common Core and the Degree Qualifications Profile

ERIC Educational Resources Information Center

Conley, David T.; Gaston, Paul L.

2013-01-01

The Common Core State Standards (CCSS), which aim to assure competency in English/language arts and mathematics through the K-12 curriculum, define necessary but not sufficient preparedness for success in college. The Degree Qualifications Profile (DQP), which describes what a college degree should signify, regardless of major, offers useful but…

Let History Not Repeat Itself: Overcoming Obstacles to the Common Core's Success. ES Select

ERIC Educational Resources Information Center

Chubb, John

2012-01-01

The Common Core State Standards project is the latest in a series of efforts to improve the academic success of American students. Forty-five states and the District of Columbia have endorsed new academic benchmarks that substantially raise the bar for achievement in English and mathematics. Aiming at a deeper form of learning, the initiative is a…

A Sociocognitive Perspective on Assessing EL Students in the Age of Common Core and Next Generation Science Standards

ERIC Educational Resources Information Center

Mislevy, Robert J.; Durán, Richard P.

2014-01-01

Subject-area standards such as Common Core State Standards for Language Arts and Mathematics and Next Generation Science Standards offer deeper, richer views of subject-area proficiency. In science, they underscore doing things with facts and concepts, such as explaining, planning, and investigating--activities that are intertwined with language,…

Growing Awareness, Growing Support: Teacher and Voter Understanding of the Common Core State Standards & Assessments

ERIC Educational Resources Information Center

Achieve, Inc., 2012

2012-01-01

Since June 2010, 46 states and Washington DC have chosen to adopt the Common Core State Standards (CCSS)--K-12 standards in mathematics and English language arts/literacy developed through a multi-state initiative led by the National Governors Association and the Council of Chief State School Officers. As implementation of the standards is…

Common Core State Standards for Mathematics: How Well Do the Textbook and Instructional Methods Align?

ERIC Educational Resources Information Center

Rawding, Denise M.

2016-01-01

The Common Core Math Standards were written to address concerns that the math curriculum in the United States was not focused and coherent. Based on national and international assessments, the United States math scores have remained stagnant, while other countries have seen significant growth in their scores. This study, designed as an action…

Putting a Price Tag on the Common Core: How Much Will Smart Implementation Cost?

ERIC Educational Resources Information Center

Murphy, Patrick; Regenstein, Elliot

2012-01-01

The Common Core State Standards (CCSS) for English language arts and mathematics represent a sea change in standards-based reform and their implementation is the movement's next--and greatest--challenge. Yet, while most states have now set forth implementation plans, these tomes seldom address the crucial matter of cost. Putting a Price Tag on the…

Generating a Networked Improvement Community to Improve Secondary Mathematics Teacher Preparation: Network Leadership, Organization, and Operation

ERIC Educational Resources Information Center

Martin, W. Gary; Gobstein, Howard

2015-01-01

The Mathematics Teacher Education Partnership (MTE-Partnership) was formed to address the undersupply of new secondary mathematics teachers who are well prepared to help their students attain the goals of the Common Core State Standards and other college- and career-ready standards. This national consortium of more than 90 universities and 100…

An Examination of the Potential of Secondary Mathematics Curriculum Materials to Support Teacher and Student Learning of Probabiility and Statistics

ERIC Educational Resources Information Center

Williams, Joshua E.

2016-01-01

The Common Core State Standards for Mathematics (CCSSSM) suggest many changes to secondary mathematics education including an increased focus on conceptual understanding and the inclusion of content and processes that are beyond what is currently taught to most high school students. To facilitate these changes, students will need opportunities to…

Strategically Fostering Dynamic Interactive Environments

ERIC Educational Resources Information Center

Özgün-Koca, S. Asli

2016-01-01

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

The Common Core State Standards and the Elementary Social Studies Curriculum: A Case Study of Teacher Perceptions in Florida

ERIC Educational Resources Information Center

Nadeau, Kacie M.

2017-01-01

The most recent phase of curriculum reform in the era of accountability is the Common Core State Standards (CCSS) which have essentially reshaped the landscape of public education. Its objective of preparing K-12 students for college and career upon high school graduation have prioritized English language arts, mathematics, and science over social…

Year 3 of Implementing the Common Core State Standards: An Overview of States' Progress and Challenges

ERIC Educational Resources Information Center

Rentner, Diane Stark

2013-01-01

States are in a crucial phase of implementing the Common Core State Standards (CCSS), which outline the knowledge and skills that students in grades kindergarten through 12 are expected to learn in mathematics and English language arts (ELA) to be prepared for college and careers. As of July 2013, 45 states and the District of Columbia have…

A Study of the "Stanford Achievement Test Series," Tenth Edition (Stanford 10) Alignment to the Common Core State Standards

ERIC Educational Resources Information Center

Pearson Education, Inc., 2011

2011-01-01

With the June 2, 2010, release of the Common Core State Standards, state-led education standards developed for K-12 English Language Arts and Mathematics, Pearson Learning Assessments and content experts conducted an in-depth study to analyze how the "Stanford 10 Achievement Test Series," Tenth Edition (Stanford 10) and Stanford 10…

The Implementation and Effects of the Mathematics Design Collaborative (MDC): Early Findings from Kentucky Ninth-Grade Algebra 1 Courses. CRESST Report 845

ERIC Educational Resources Information Center

Herman, Joan L.; Matrundola, Deborah La Torre; Epstein, Scott; Leon, Seth; Dai, Yunyun; Reber, Sarah; Choi, Kilchan

2015-01-01

With support from the Bill and Melinda Gates Foundation, researchers and experts in mathematics education developed the Mathematics Design Collaborative (MDC) as a strategy to support the transition to Common Core State Standards in math. MDC provides short formative assessment lessons known as Classroom Challenges for use in middle and high…

The Root of the Problem

ERIC Educational Resources Information Center

Grosser-Clarkson, Dana L.

2015-01-01

The Common Core State Standards for Mathematics expect students to build on their knowledge of the number system, expressions and equations, and functions throughout school mathematics. For example, students learn that they can add something to both sides of an equation and that doing so will not affect the equivalency; however, squaring both…

Stacking Cans: Abstracting from Computation

ERIC Educational Resources Information Center

Roy, George J.; Safi, Farshid; Graul, LuAnn

2015-01-01

As current mathematics standards, such as the Common Core, are being implemented throughout the United States, it has become evident that teachers need support to enact the tenets of those standards. To help in this endeavor, this article was published as a guideline to emphasize to mathematics education stakeholders that "effective teaching…

It All Adds Up: Learning Early Math through Play and Games

ERIC Educational Resources Information Center

Ramani, Geetha B.; Eason, Sarah H.

2015-01-01

Playing and learning mathematics do not have to be mutually exclusive activities, especially in kindergarten. Play and games can give young children opportunities to learn and develop foundational math skills that are aligned with Common Core standards for mathematics through age-appropriate, fun, and engaging activities.

A Vertical Approach to Math Instruction

ERIC Educational Resources Information Center

Gojak, Linda

2012-01-01

In the current era of mathematics standards, whether they are Common Core State Standards or other state standards, effective vertical mathematics teams offer an opportunity for teachers to grow professionally through shared experiences, for leadership to grow among the faculty, and for the school to change its perspective on the teaching and…

Five Keys for Teaching Mental Math

ERIC Educational Resources Information Center

Olsen, James R.

2015-01-01

After studying the Common Core State Standards for Mathematics (CCSSM) and brain-based learning research, James Olsen believes mental math instruction in secondary school mathematics (grades 7-12) and in teacher education programs needs increased attention. The purpose of this article is to share some keys for teaching mental math. Olsen also…

Supporting Mathematics Instruction through Community

ERIC Educational Resources Information Center

Amidon, Joel C.; Trevathan, Morgan L.

2016-01-01

Raising expectations is nothing new. Every iteration of standards elevates the expectations for what students should know and be able to do. The Common Core State Standards for Mathematics (CCSSM) is no exception, with standards for content and practice that move beyond memorization of traditional algorithms to "make sense of problems and…

Kindergarten Students Solving Mathematical Word Problems

ERIC Educational Resources Information Center

Johnson, Nickey Owen

2013-01-01

The purpose of this study was to explore problem solving with kindergarten students. This line of inquiry is highly significant given that Common Core State Standards emphasize deep, conceptual understanding in mathematics as well as problem solving in kindergarten. However, there is little research on problem solving with kindergarten students.…

The Ways Character Strengths Support K-8 Mathematics and the Common Core State Standards

ERIC Educational Resources Information Center

Bier, Melinda C.; Sherblom, Stephen A.; Berkowitz, Marvin W.; Coulter, Bob

2016-01-01

Character strengths support academic learning and can and should be incorporated into all content areas. This article articulates ways character strengths, including self-efficacy, positive-attitude, perseverance, growth-mindset, intrinsic motivation, intellectual carefulness, and courage specifically support mathematics education (K-8) and can…

Bringing Stories to Life: Integrating Literature and Math Manipulatives

ERIC Educational Resources Information Center

Larson, Lotta C.; Rumsey, Chepina

2018-01-01

This Teaching Tip describes the use of children's literature to help second-grade students meet Common Core State Standards for English Language Arts and for Mathematics. During a shared reading experience, students used manipulatives to represent plot and characters while demonstrating mathematical reasoning. The article offers instructional…

Planning Questions and Persevering in the Practices

ERIC Educational Resources Information Center

Gurl, Theresa J.; Fox, Ryan; Dabovic, Nikolina; Leavitt, Arielle Eager

2016-01-01

The implementation of the Common Core's Standards for Mathematical Practice can pose a challenge to all teachers of mathematics but especially to preservice teachers. These standards require teaching in a way that often differs from what preservice teachers have experienced as learners. Standard 1--"Make sense of problems and persevere in…

The Right Time to Start Writing

ERIC Educational Resources Information Center

Casa, Tutita M.

2015-01-01

Communication has long been emphasized in standards-based instruction (NCTM 1991; 2000), yet little distinction has been made between oral and written forms. Nonetheless, both the mathematics and the English language arts Common Core State Standards (CCSS) documents continue to hint at the importance of writing mathematically (CCSSI 2010). The…

Implementing the Common Core: Applying Shifts to Instruction

ERIC Educational Resources Information Center

Gaddy, Angeline K.; Harmon, Shannon E.; Barlow, Angela T.; Milligan, Charles D.; Huang, Rongjin

2014-01-01

With such publications as "Curriculum and Evaluation Standards" (1989) and "Principles and Standards for School Mathematic" (2000), NCTM has played a significant role in defining a vision for school mathematics. In particular, the Curriculum Principle (NCTM 2000, pp. 14-16) described the need for students to learn important…

Cases on Technology Integration in Mathematics Education

ERIC Educational Resources Information Center

Polly, Drew, Ed.

2015-01-01

Common Core education standards establish a clear set of specific ideas and skills that all students should be able to comprehend at each grade level. In an effort to meet these standards, educators are turning to technology for improved learning outcomes. "Cases on Technology Integration in Mathematics Education" provides a compilation…

Taking It to the Next Level: Students Using Inductive Reasoning

ERIC Educational Resources Information Center

Murawska, Jaclyn M.; Zollman, Alan

2015-01-01

Although discussions about inductive reasoning can be traced back thousands of years (Fitelson 2011), the implementation of the Standards for Mathematical Practice (SMP) within the Common Core State Standards (CCSSI 2010) is generating renewed attention to how students learn mathematics. The third SMP, "Construct viable arguments and critique…

The Distributive Property in Grade 3?

ERIC Educational Resources Information Center

Benson, Christine C.; Wall, Jennifer J.; Malm, Cheryl

2013-01-01

The Common Core State Standards for Mathematics (CCSSM) call for an in depth, integrated look at elementary school mathematical concepts. Some topics have been realigned to support an integration of topics leading to conceptual understanding. For example, the third-grade standards call for relating the concept of area (geometry) to multiplication…

Curriculum Design, Development, and Implementation in an Era of Common Core State Standards. Summary Report of a Conference (Arlington, Virginia, August 1-3, 2010)

ERIC Educational Resources Information Center

Confrey, Jere; Krupa, Erin

2010-01-01

In June 2010, the National Governor's Association and the Council of Chief State School Officers published "Common Core State Standards" (CCSS) for K-12 mathematics. Forty-eight states collaborated in the development of CCSS and, to date, 34 states have officially adopted CCSS to replace existing state standards. CCSS presents an opportunity for…

A Comparison of Higher-Order Thinking between the Common Core State Standards and the 2009 New Jersey Content Standards in High School

ERIC Educational Resources Information Center

Sforza, Dario; Tienken, Christopher H.; Kim, Eunyoung

2016-01-01

The creators and supporters of the Common Core State Standards claim that the Standards require greater emphasis on higher-order thinking than previous state standards in mathematics and English language arts. We used a qualitative case study design with content analysis methods to test the claim. We compared the levels of thinking required by the…

Access to the Common Core State Standards in Mathematics through Early Numeracy Skill Building for Students with Significant Intellectual Disability

ERIC Educational Resources Information Center

Jimenez, Bree A.; Staples, Kelli

2015-01-01

This study investigated the effect of systematic early numeracy skill instruction on grade-aligned 4th and 5th grade Common Core math skill acquisition for three 4th and 5th grade students with a significant intellectual disability. Students were taught early numeracy skills (e.g., number identification, making sets to five items, simple addition)…

Trends in State Implementation of the Common Core State Standards: Making the Shift to Better Tests. NGA Paper

ERIC Educational Resources Information Center

Nielson, Kate

2014-01-01

The Common Core State Standards (CCSS) for K-12 English language arts/literacy and mathematics, released in 2010, have been adopted by 49 states and territories; the District of Columbia; and the U.S. Department of Defense schools, which serve the children of U.S. service members around the world. The widespread adoption of the CCSS is a major…

The Critical Role of a Well-Articulated, Coherent Design in Professional Development: An Evaluation of a State-Wide Two-Week Program for Mathematics and Science Teachers

ERIC Educational Resources Information Center

Saderholm, Jon; Ronau, Robert N.; Rakes, Christopher R.; Bush, Sarah B.; Mohr-Schroeder, Margaret

2017-01-01

This evaluation study examined a state-wide professional development program composed of two institutes, one for mathematics teachers and one for science teachers, each spanning two weeks. The program was designed to help teachers transform their practice to align with Common Core State Standards for Mathematics and Next Generation Science…

Changing Pre-Service Elementary Teachers' Beliefs about Mathematical Knowledge

ERIC Educational Resources Information Center

Stohlmann, Micah; Moore, Tamara; Cramer, Kathleen; Maiorca, Cathrine

2015-01-01

Studies have reported that pre-service teachers often enter teacher preparation programs with beliefs and attitudes not conducive to teaching the subject conceptually. In the USA, the Common Core State Standards for Mathematics have brought a renewed focus on procedural and conceptual understanding. However, many U.S. pre-service teachers have…

CCSSM: Getting Started in K-Grade 2

ERIC Educational Resources Information Center

White, Jeanne; Dauksas, Linda

2012-01-01

Rather than feeling overwhelmed at the thought of integrating the new Common Core State Standards for Mathematics (CCSSI 2010) into their teaching practice, teachers might view this as an opportunity to deeply embed mathematics into the K-grade 2 curriculum in the same way that literacy has long been rooted into early learning environments.…

What is Your Time Worth? A Meaningful Introductory Project in Algebra

ERIC Educational Resources Information Center

Courtney, Scott A.; Gibson, Jessica

2017-01-01

There have been many recent policy and program changes in K-12 education across the United States, particularly in area of mathematics. Changes, such as the Common Core State Standards for Mathematics and standards-aligned year-end summative assessments, require an increase in student-centered, cognitively demanding activities in the classroom.…

Speedometry: A Vehicle for Promoting Interest and Engagement through Integrated STEM Instruction

ERIC Educational Resources Information Center

Sinatra, Gale M.; Mukhopadhyay, Ananya; Allbright, Taylor N.; Marsh, Julie A.; Polikoff, Morgan S.

2017-01-01

The curriculum, Hot Wheels Speedometry (Mattel, El Segundo, CA, USA), was designed to align with the Next Generation Science Standards for science and the Common Core State Standards for mathematics. Our objective was to develop, implement, and evaluate the impact of this integrated science, technology, engineering, and mathematics (STEM)…

Return of the Tug-of-War

ERIC Educational Resources Information Center

McNamara, Julie

2017-01-01

Long before the release of the Common Core State Standards (CCSSI 2010), the Mathematical Tug-of-War was engaging students in the type of reasoning and problem solving described by the Standards for Mathematical Practice (SMP). In this updated version of a Marilyn Burns task, students use algebraic reasoning to determine the outcome of a contest…

Plan, Save, Succeed! Financial Literacy Poster/Teaching Guide. Expect the Unexpected with Math[R

ERIC Educational Resources Information Center

Actuarial Foundation, 2013

2013-01-01

"Plan, Save, Succeed!" is a new program aligned with Jumpstart Coalition National Standards in K-12 Personal Finance Education, National Council of Teachers of Mathematics (NCTM) Standards, and Common Core Standards for Mathematical Practice. "Plan, Save, Succeed!" is designed to help students understand key financial literacy topics including…

Inner-City Teachers' Perceptions in a Lesson Study for Critiquing Mathematical Reasoning

ERIC Educational Resources Information Center

Won, Noelle

2017-01-01

This manuscript focuses on practical questions in a study that describes the perceptions of four teachers at the beginning stages of Common Core Mathematics implementation in a historically underperforming school district. The overarching goal was to understand the collaborative inquiry experience in a lesson study that focused on teaching the…

Going with the Flow: Challenging Students to Make Assumptions

ERIC Educational Resources Information Center

Felton, Mathew D.; Anhalt, Cynthia O.; Cortez, Ricardo

2015-01-01

Many current and future teachers have little experience with modeling and how to integrate it into their teaching. However, with the introduction of the Common Core State Standards for Mathematics (CCSSM) and its emphasis on mathematical modeling in all grades (CCSSI 2010), this integration has become paramount. Therefore, middle-grades teachers…

The Effects of Elementary Departmentalization on Mathematics Proficiency

ERIC Educational Resources Information Center

Taylor-Buckner, Nicole C.

2014-01-01

Mathematics education in the elementary schools has experienced many changes in recent decades. With the curriculum becoming more complex as a result of each modification, immense pressure has been put on schools to increase student proficiency. The Common Core State Standards is the latest example of this. These revisions to the mathematics…

Assessing Academic Language in an Elementary Mathematics Teacher Licensure Exam

ERIC Educational Resources Information Center

Castellano, Katherine E.; Duckor, Brent; Wihardini, Diah; Telléz, Kip; Wilson, Mark

2016-01-01

With the adoption by most states of the Common Core State Standards (CCSS) for English language arts and literacy and for mathematics (CCSS Initiative, 2010a, 2010b) comes major changes in public education that will affect instructional practice, curriculum, and assessment across the nation. Heritage, Walqui, and Linquanti (2015) argued that the…

Just Say Yes to Early Algebra!

ERIC Educational Resources Information Center

Stephens, Ana; Blanton, Maria; Knuth, Eric; Isler, Isil; Gardiner, Angela Murphy

2015-01-01

Mathematics educators have argued for some time that elementary school students are capable of engaging in algebraic thinking and should be provided with rich opportunities to do so. Recent initiatives like the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) have taken up this call by reiterating the place of early algebra in…

Trying Three-Act Tasks with Primary Students

ERIC Educational Resources Information Center

Lomax, Kendra; Alfonzo, Kristin; Dietz, Sarah; Kleyman, Ellen; Kazemi, Elham

2017-01-01

The goals of problem-solving activities in the elementary grades often include making sense of story problems, developing a range of strategies, and reaching accurate solutions. These are important mathematical aims, but they do not fully address the demands of modeling with mathematics as described in the fourth of the Common Core's eight…

The Revenge of K-12: How Common Core and the New SAT Lower College Standards in the U.S. White Paper No. 122

ERIC Educational Resources Information Center

Phelps, Richard P.; Milgram, R. James

2014-01-01

It is now clear that the original promise to anchor K-12 education to higher education and backmap the Common Core Mathematics Standards (CCMS) from the upper grades down to the primary grades was empty rhetoric. Higher education has scarcely been involved at all, with the exception of the institutions that agreed to place high school students who…

A Case Study: Teacher Change during the Implementation of the Common Core State Standards for Secondary Mathematics

ERIC Educational Resources Information Center

Burns, Barbara A.

2017-01-01

For students to be successful in higher education, compete in 21st century careers and be economically competitive, they will need a greater understanding of mathematics that centers on critical thinking, problem solving, analysis, communication and collaboration (Dean, Hubbell, Pitler, & Stone, 2012; Gasser, 2011; Schornick, 2010). Delivering…

Educational Equity and Adequacy for Disadvantaged Minority Students: School and Teacher Resource Gaps toward National Mathematics Proficiency Standard

ERIC Educational Resources Information Center

Lee, Jaekyung

2012-01-01

This study addresses the issue of educational inadequacy and inequity for disadvantaged minority students. It estimates desired national standards and examines interrelated gaps in key school-teacher resources and mathematics achievement by linking national education data sets (National Assessment of Educational Progress [NAEP], Common Core of…

Are the K-2 Common Core State Standards for Mathematics Developmentally Appropriate?

ERIC Educational Resources Information Center

Otálora, Yenny

2016-01-01

In this article, I (a) illustrate how the K-2 CCSSM reflect the major findings from research studies carried out over the last 30 years on early mathematical abilities that indicate these standards are developmentally appropriate for young children, and (b) offer insights into some types of instructional strategies (e.g., student-centered…

CCSSM: Examining the Critical Areas in Grades 5 and 6

ERIC Educational Resources Information Center

Polly, Drew; Orrill, Chandra

2012-01-01

Cognitively demanding tasks are at the heart of the implementation of the Common Core State Standards in Mathematics (CCSSI 2010). As with all the grades, teachers of grades 5 and 6 are challenged to use tasks that simultaneously address the grade-level Standards as well as the Standards for Mathematical Practice (SMP). Cognitively demanding tasks…

Mathematics for Vocational Students in France and England: Contrasting Provision and Consequences. Discussion Paper No. 23.

ERIC Educational Resources Information Center

Wolf, Alison

French postsecondary education for 16- to 19-year-olds is divided into programs that lead to the Baccalaureats--general, technical, and vocational--and to the lower-level Certificat d'Aptitude Professionnel (CAP) and Brevet d'Etudes Professionnelles (BEP). A common mathematics core curriculum is specified for all CAP students, regardless of…

Connecting Research to Teaching: Evaluating and Writing Dynamic Geometry Tasks

ERIC Educational Resources Information Center

Trocki, Aaron

2014-01-01

The advent of dynamic geometry software has changed the way students draw, construct, and measure by using virtual tools instead of or along with physical tools. Use of technology in general and of dynamic geometry in particular has gained traction in mathematics education, as evidenced in the Common Core State Standards for Mathematics (CCSSI…

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…

The Power of Probability: Poster/Teaching Guide for Grades 6-8. Expect the Unexpected with Math[R

ERIC Educational Resources Information Center

Actuarial Foundation, 2013

2013-01-01

"The Power of Probability" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) and Common Core State Standards, which gives students opportunities to practice their skills and knowledge of the mathematics of probability. Developed by The Actuarial Foundation, the program's lessons and worksheets motivate…

Two Models for Evaluating Alignment of State Standards and Assessments: Competing or Complementary Perspectives?

ERIC Educational Resources Information Center

Newton, Jill A.; Kasten, Sarah E.

2013-01-01

The release of the Common Core State Standards for Mathematics and their adoption across the United States calls for careful attention to the alignment between mathematics standards and assessments. This study investigates 2 models that measure alignment between standards and assessments, the Surveys of Enacted Curriculum (SEC) and the Webb…

Mathematics from High School to Community College: Using Existing Tools to Increase College-Readiness Now. Policy Brief 14-1

ERIC Educational Resources Information Center

Jaffe, Louise

2014-01-01

The adoption and implementation of the Common Core State Standards and Smarter Balanced assessments in mathematics are intended to provide all students in California with the knowledge and skills required to transition from high school to college-level coursework. This implementation will take time. Concurrent with these efforts, policymakers and…

Determining the Effectiveness of the Saxon Math Program and the Ready Common Core Program for Students with Disabilities

ERIC Educational Resources Information Center

Marttila, Katie L.

2017-01-01

For the realm of this study, the researcher reviewed two separate mathematics programs that have been implemented within the school district to address both the needs of the students with learning disabilities and the requirements of the local and state assessments. The mathematics programs are designed with two different methods to meet the…

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)…

Gates, Pearson Partner on Common Core

ERIC Educational Resources Information Center

Gewertz, Catherine

2011-01-01

As states and school districts grapple with how to teach the skills outlined in the new common standards, two foundations have announced a partnership aimed at crafting complete, online curricula for those standards in mathematics and English/language arts that span nearly every year of a child's precollegiate education. The announcement last…

Zeroing in on Number and Operations, Grades 7-8: Key Ideas and Common Misconceptions

ERIC Educational Resources Information Center

Collins, Anne; Dacey, Linda

2010-01-01

"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…

Zeroing in on Number and Operations, Grades 3-4: Key Ideas and Common Misconceptions

ERIC Educational Resources Information Center

Dacey, Linda; Collins, Anne

2010-01-01

"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…

Zeroing in on Number and Operations, Grades 5-6: Key Ideas and Common Misconceptions

ERIC Educational Resources Information Center

Collins, Anne; Dacey, Linda

2010-01-01

"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Sandards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…

What Should We Grow in Our School Garden to Sell at the Farmers' Market? Initiating Statistical Literacy through Science and Mathematics Integration

ERIC Educational Resources Information Center

Selmer, Sarah J.; Rye, James A.; Malone, Elizabeth; Fernandez, Danielle; Trebino, Kathryn

2014-01-01

Statistical literacy is essential to scientific literacy, and the quest for such is best initiated in the elementary grades. The "Next Generation Science Standards and the Common Core State Standards for Mathematics" set forth practices (e.g., asking questions, using tools strategically to analyze and interpret data) and content (e.g.,…

Visual Reasoning Tools in Action: Double Number Lines, Area Models, and Other Diagrams Power Up Students' Ability to Solve and Make Sense of Various Problems

ERIC Educational Resources Information Center

Watanabe, Tad

2015-01-01

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) identifies the strategic use of appropriate tools as one of the mathematical practices and emphasizes the use of pictures and diagrams as reasoning tools. Starting with the early elementary grades, CCSSM discusses students' solving of problems "by drawing." In later…

Idaho Adopted Higher Standards to Prepare All Students for College and Careers

ERIC Educational Resources Information Center

Willits, Luci

2014-01-01

Two years ago the state officially chose to adopt the Common Core State Standards (CCSS) as Idaho's new Core Standards in mathematics and English language arts. For Idaho's students these standards are not only higher but also comparable with those in any other country in the world. These new standards will bring significant changes for Idaho…

States Slow Standards Work amid "Common Core" Push

ERIC Educational Resources Information Center

Zehr, Mary Ann

2009-01-01

As they wait to see how the latest push for common national standards plays out, some states are putting off or slowing the revision of their own academic standards to avoid wasted effort and spending. At least four states--Arkansas, Florida, Louisiana, and Pennsylvania--have halted revision of their standards for mathematics or English/language…

Enhancing Parent Involvement in NC-CCSS for K-2 Mathematics

NASA Astrophysics Data System (ADS)

Johnson, D.

2014-12-01

Key Terms:Parent Involvement, Common Core State Standards, Homework, K - 2 Mathematics In this study, the 2014 REU math team developed and provided a workshop that assisted parents in understanding the North Carolina Common Core State Standards for K-2 Mathematics to assist with student homework assignments. Parent involvement is defined as parent participating in the educational processes and experiences of their children. A chi-square analysis was used to analyze data collected from the pre survey and the post survey administered to participants in the workshop. The study revealed all of the individual components of parent involvement were positively and significantly related to educational goals. The study identified various aspects of parent involvement that yielded statistically significant results in affirming that parent involvement attributed to urban student achievement. These findings were particularly helpful for indicating which kinds of parent involvement influenced academic success. Most notably, parent expectations and styles demonstrated a strong relationship with scholastic outcomes. Parent expectations and styles created an educationally oriented ambience that established an understanding of the certain level of support the child needed to succeed academically. The REU mathematics team focused on three essential questions in this study: (1) What practices will increase parent awareness of K-2 NC-CCSS for mathematics at P. W. Moore Elementary School? (2) What methods can be used to strengthen parent skills in assisting with mathematics homework assignments at P. W. Moore Elementary School? (3) What actions can be taken to motivate parent involvement in the school improvement process focusing on mathematics at P. W. Moore Elementary School?

An Evaluation of an Elementary Mathematics Program at a Medium-Sized Suburban School District in North Carolina

ERIC Educational Resources Information Center

Honeycutt, Robin A.

2013-01-01

Math instruction has undergone a tremendous amount of change since the late 1950s. "New math" of the 1960s, the standards movement, back to the basics in the early 90s, and now the common core standards have all had an impact on how mathematics is taught. This study examined the Math Expressions program, a conceptually based program…

Connecting the Dots: Postsecondary's Role in Preparing K-12 Students

ERIC Educational Resources Information Center

Partnership for Assessment of Readiness for College and Careers, 2012

2012-01-01

For the first time in the nation's history 46 States and the District of Columbia have agreed that all K-12 students will be educated along a common continuum of high academic expectations known as the Common Core State Standards (CCSS). Having clear, consistent standards in English language arts/literacy and mathematics will help ensure that all…

Modeling of carbonate reservoir variable secondary pore space based on CT images

NASA Astrophysics Data System (ADS)

Nie, X.; Nie, S.; Zhang, J.; Zhang, C.; Zhang, Z.

2017-12-01

Digital core technology has brought convenience to us, and X-ray CT scanning is one of the most common way to obtain 3D digital cores. However, it can only provide the original information of the only samples being scanned, and we can't modify the porosity of the scanned cores. For numerical rock physical simulations, a series of cores with variable porosities are needed to determine the relationship between the physical properties and porosity. In carbonate rocks, the secondary pore space including dissolution pores, caves and natural fractures is the key reservoir space, which makes the study of carbonate secondary porosity very important. To achieve the variation of porosities in one rock sample, based on CT scanned digital cores, according to the physical and chemical properties of carbonate rocks, several mathematical methods are chosen to simulate the variation of secondary pore space. We use the erosion and dilation operations of mathematical morphology method to simulate the pore space changes of dissolution pores and caves. We also use the Fractional Brownian Motion model to generate natural fractures with different widths and angles in digital cores to simulate fractured carbonate rocks. The morphological opening-and-closing operations in mathematical morphology method are used to simulate distribution of fluid in the pore space. The established 3D digital core models with different secondary porosities and water saturation status can be used in the study of the physical property numerical simulations of carbonate reservoir rocks.

Early Geometry Instruction for Young Children

ERIC Educational Resources Information Center

Jung, Myoungwhon; Conderman, Greg

2017-01-01

The most recent Kindergarten Common Core Mathematics State Standards include an emphasis on teaching geometry skills, such as recognizing, describing, naming, and composing shapes. This article provides five effective ideas for teachers of young children as they introduce and teach shapes.

Evaluating the (Mis)Alignment of the Intended to the Assessed Curriculum for the U.S.: Implications for the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Shivraj, Pooja

2017-01-01

The Programme of International Student Assessment (PISA) has been administered to 15-year- olds every three years since 2000. Since then, the U.S. has performed below average in mathematics, with no significant changes in performance. The objective of this study was to examine the alignment of the content students in the U.S. are assessed on in…

Magnitude knowledge: the common core of numerical development.

PubMed

Siegler, Robert S

2016-05-01

The integrated theory of numerical development posits that a central theme of numerical development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented. The process includes four overlapping trends: (1) representing increasingly precisely the magnitudes of non-symbolic numbers, (2) connecting small symbolic numbers to their non-symbolic referents, (3) extending understanding from smaller to larger whole numbers, and (4) accurately representing the magnitudes of rational numbers. The present review identifies substantial commonalities, as well as differences, in these four aspects of numerical development. With both whole and rational numbers, numerical magnitude knowledge is concurrently correlated with, longitudinally predictive of, and causally related to multiple aspects of mathematical understanding, including arithmetic and overall math achievement. Moreover, interventions focused on increasing numerical magnitude knowledge often generalize to other aspects of mathematics. The cognitive processes of association and analogy seem to play especially large roles in this development. Thus, acquisition of numerical magnitude knowledge can be seen as the common core of numerical development. © 2016 John Wiley & Sons Ltd.

Classroom Observations: Documenting Shifts in Instruction for Districtwide Improvement. Formative Evaluation Cycle Report for the Math in Common Initiative, Volume 2

ERIC Educational Resources Information Center

Perry, Rebecca R.; Seago, Nanette M.; Burr, Elizabeth; Broek, Marie; Finkelstein, Neal D.

2015-01-01

Math in Common® (MiC) is a five-year initiative that supports a formal network of 10 California school districts as they implement the Common Core State Standards in Mathematics (CCSS-M) across grades K-8. This research brief explores how best to select or develop and use classroom observation systems in order to document instructional shifts and…

Teaching Multiplication with Regrouping to Students with Learning Disabilities

ERIC Educational Resources Information Center

Flores, Margaret M.; Hinton, Vanessa M.; Schweck, Kelly B.

2014-01-01

The Common Core Standards require demonstration of conceptual knowledge of numbers, operations, and relations between mathematical concepts. Supplemental instruction should explicitly guide students with specific learning disabilities (SLD) in these skills. In this article, we illustrate implementation of the concrete-representational-abstract…

Bird Boxes Build Content Area Knowledge

ERIC Educational Resources Information Center

Cianca, Sherri Ann

2013-01-01

This article describes a preservice teacher training in line with meeting the Common Core State Standards for Mathematics (CCSSM) using geometric reasoning, spatial sense, measurement, representation, communication, and problem solving. The author infers that when preservice teachers lack pedagogical content knowledge they cannot successfully…

The Whole Story: Understanding Fraction Computation

ERIC Educational Resources Information Center

Dixon, Juli K.; Tobias, Jennifer M.

2013-01-01

What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…

High-Quality Science Instruction: Building Conceptual Understanding and Language Skills for English Learners

ERIC Educational Resources Information Center

DiRanna, Kathy; Gomez-Zwiep, Susan

2013-01-01

The confluence of "Common Core State Standards" ("CCSS"), "Next Generation Science Standards" ("NGSS"), and 21st century skills provides an unparalleled opportunity to improve science, technology, engineering, and mathematics (STEM) education for all students, particularly English learners. "CCSS,"…

A Population of Assessment Tasks

ERIC Educational Resources Information Center

Daro, Phil; Burkhardt, Hugh

2012-01-01

We propose the development of a "population" of high-quality assessment tasks that cover the performance goals set out in the "Common Core State Standards for Mathematics." The population will be published. Tests are drawn from this population as a structured random sample guided by a "balancing algorithm."

Generating Linear Equations Based on Quantitative Reasoning

ERIC Educational Resources Information Center

Lee, Mi Yeon

2017-01-01

The Common Core's Standards for Mathematical Practice encourage teachers to develop their students' ability to reason abstractly and quantitatively by helping students make sense of quantities and their relationships within problem situations. The seventh-grade content standards include objectives pertaining to developing linear equations in…

California and the "Common Core": Will There Be a New Debate about K-12 Standards?

ERIC Educational Resources Information Center

EdSource, 2010

2010-01-01

A growing chorus of state and federal policymakers, large foundations, and business leaders across the country are calling for states to adopt a common, rigorous body of college- and career-ready skills and knowledge in English and mathematics that all K-12 students will be expected to master by the time they graduate. This report looks at the…

What Is Developmentally Appropriate Teaching?

ERIC Educational Resources Information Center

Clements, Douglas H.; Fuson, Karen C.; Sarama, Julie

2017-01-01

Teachers are on the front line in any educational controversy. Increasingly, some bloggers, newspaper articles, and other media have criticized the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) as being inappropriate for children in kindergarten and first grade. However, both research and expert practice reveal that children are…

A Vehicle for Bivariate Data Analysis

ERIC Educational Resources Information Center

Roscoe, Matt B.

2016-01-01

Instead of reserving the study of probability and statistics for special fourth-year high school courses, the Common Core State Standards for Mathematics (CCSSM) takes a "statistics for all" approach. The standards recommend that students in grades 6-8 learn to summarize and describe data distributions, understand probability, draw…

Personalized Learning in Algebra

ERIC Educational Resources Information Center

Walkington, Candace; Sherman, Milan; Howell, Elizabeth

2014-01-01

Mathematical "funds of knowledge" (Civil 2007) that students bring from their community and home lives can offer entry points for concepts such as functions and rate of change, which are important "big ideas" across all grade levels (NCTM 2000). The Common Core State Standards (CCSSI 2010) ask high school students to…

Cultivating Deductive Thinking with Angle Chasing

ERIC Educational Resources Information Center

Edwards, Michael todd; Quinlan, James; Harper, Suzanne R.; Cox, Dana C.; Phelps, Steve

2014-01-01

Despite Common Core State Standards for Mathematics (CCSSI 2010) recommendations, too often students' introduction to proof consists of the study of formal axiomatic systems--for example, triangle congruence proofs--typically in an introductory geometry course with no connection back to previous work in earlier algebra courses. Van Hiele…

The Cake Contest

ERIC Educational Resources Information Center

Haberern, Colleen

2016-01-01

With the adoption of the Common Core State Standards for Mathematics (CCSSM), many teachers are changing their classroom structure from teacher-directed to student-centered. When the author began designing and using problem-based tasks she saw a drastic improvement in student engagement and problem-solving skills. The author describes the Cake…

Mastery Multiplied

ERIC Educational Resources Information Center

Shumway, Jessica F.; Kyriopoulos, Joan

2014-01-01

Being able to find the correct answer to a math problem does not always indicate solid mathematics mastery. A student who knows how to apply the basic algorithms can correctly solve problems without understanding the relationships between numbers or why the algorithms work. The Common Core standards require that students actually understand…

Kaleidoscopes and Mathematics: An Elegant Connection

ERIC Educational Resources Information Center

Miller, Catherine M.

2017-01-01

This article describes a project in which students investigate the question: What dihedral angles between pairs of mirrors in a kaleidoscope result in perfectly symmetric images? The unit culminates with students building their own kaleidoscopes. This content aligns with parts of the Common Core's standards for fifth grade (classify…

The Devil and Daniel's Spreadsheet

ERIC Educational Resources Information Center

Burke, Maurice J.

2012-01-01

"When making mathematical models, technology is valuable for varying assumptions, exploring consequences, and comparing predictions with data," notes the Common Core State Standards Initiative (2010, p. 72). This exploration of the recursive process in the Devil and Daniel Webster problem reveals that the symbolic spreadsheet fits this bill.…

Enhancing Core Mathematics Instruction for Students at Risk for Mathematics Disabilities

ERIC Educational Resources Information Center

Doabler, Christian T.; Cary, Mari Strand; Jungjohann, Kathleen; Clarke, Ben; Fien, Hank; Baker, Scott; Smolkowski, Keith; Chard, David

2012-01-01

This paper presents eight practical guidelines that teachers can use to make core instruction more systematic and explicit for students with or at-risk for mathematics disabilities. In the paper, we use the notion of explicit and systematic instruction as a foundation for intensifying core math instruction. Explicit and systematic core instruction…

34 CFR 406.3 - What activities may the Secretary fund?

Code of Federal Regulations, 2013 CFR

2013-07-01

... to provide funding for consortia described in § 406.30 for tech-prep education projects. (b) A State board assists projects that must— (1) Be carried out under an articulation agreement between the members... following secondary instruction, with a common core of required proficiency in mathematics, science...

34 CFR 406.3 - What activities may the Secretary fund?

Code of Federal Regulations, 2014 CFR

2014-07-01

... to provide funding for consortia described in § 406.30 for tech-prep education projects. (b) A State board assists projects that must— (1) Be carried out under an articulation agreement between the members... following secondary instruction, with a common core of required proficiency in mathematics, science...

34 CFR 406.3 - What activities may the Secretary fund?

Code of Federal Regulations, 2012 CFR

2012-07-01

... to provide funding for consortia described in § 406.30 for tech-prep education projects. (b) A State board assists projects that must— (1) Be carried out under an articulation agreement between the members... following secondary instruction, with a common core of required proficiency in mathematics, science...

Data Modeling Using Finite Differences

ERIC Educational Resources Information Center

Rhoads, Kathryn; Mendoza Epperson, James A.

2017-01-01

The Common Core State Standards for Mathematics (CCSSM) states that high school students should be able to recognize patterns of growth in linear, quadratic, and exponential functions and construct such functions from tables of data (CCSSI 2010). In their work with practicing secondary teachers, the authors found that teachers may make some tacit…

Mathematics in the Early Grades: Operations & Algebraic Thinking. Interactive STEM Research + Practice Brief

ERIC Educational Resources Information Center

Education Development Center, Inc., 2016

2016-01-01

In the domain of "Operations & Algebraic Thinking," Common Core State Standards indicate that in kindergarten, first grade, and second grade, children should demonstrate and expand their ability to understand, represent, and solve problems using the operations of addition and subtraction, laying the foundation for operations using…

Is It Counting, or Is It Adding?

ERIC Educational Resources Information Center

Eisenhardt, Sara; Fisher, Molly H.; Thomas, Jonathan; Schack, Edna O.; Tassell, Janet; Yoder, Margaret

2014-01-01

The Common Core State Standards for Mathematics (CCSSI 2010) expect second grade students to "fluently add and subtract within 20 using mental strategies" (2.OA.B.2). Most children begin with number word sequences and counting approximations and then develop greater skill with counting. But do all teachers really understand how this…

This Is Not Your Grandma's Library

ERIC Educational Resources Information Center

Mader, Jan

2014-01-01

Students must understand the relevance of science, technology, engineering, and mathematics (STEM) to their everyday lives to become employable in the rapidly changing, technologically driven economy. The intent of the Common Core State Standards is to prepare students to be college-, career-, and citizenship-ready. The school libraries of today…

Fractions, Number Lines, Third Graders

ERIC Educational Resources Information Center

Cramer, Kathleen; Ahrendt, Sue; Monson, Debra; Wyberg, Terry; Colum, Karen

2017-01-01

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) outlines ambitious goals for fraction learning, starting in third grade, that include the use of the number line model. Understanding and constructing fractions on a number line are particularly complex tasks. The current work of the authors centers on ways to successfully…

Revisiting Mr. Tall and Mr. Short

ERIC Educational Resources Information Center

Riehl, Suzanne M.; Steinthorsdottir, Olof Bjorg

2014-01-01

Ratio, rate, and proportion are central ideas in the Common Core State Standards (CCSS) for middle-grades mathematics (CCSSI 2010). These ideas closely connect to themes in earlier grades (pattern building, multiplicative reasoning, rational number concepts) and are the foundation for understanding linear functions as well as many high school…

Prepare for More Realistic Test Results

ERIC Educational Resources Information Center

Larson, Matthew R.; Leinwand, Steven

2013-01-01

Educators in forty-five states and the District of Columbia are hard at work interpreting and implementing the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010). This work typically involves teacher participation in professional development activities focused on developing an understanding of the content standards as well as the…

Integration and Physical Education: A Review of Research

ERIC Educational Resources Information Center

Marttinen, Risto Harri Juhani; McLoughlin, Gabriella; Fredrick, Ray, III; Novak, Dario

2017-01-01

The Common Core State Standards Initiative has placed an increased focus on mathematics and English language arts. A relationship between physical activity and academic achievement is evident, but research on integration of academic subjects with physical education is still unclear. This literature review examined databases for the years…

The Right Equation for Math Teaching

ERIC Educational Resources Information Center

Schifter, Deborah; Granofsky, Burt

2012-01-01

Full implementation of the Common Core State Standards for mathematics is still a few years away for many states. But district and school leaders are faced with many decisions now--from curriculum adoption to teacher professional development--that will influence the long-term effectiveness of this bold initiative. School leaders have a significant…

The Geoboard Triangle Quest

ERIC Educational Resources Information Center

Allen, Kasi C.

2013-01-01

In line with the Common Core and Standards for Mathematical Practice that portray a classroom where students are engaged in problem-solving experiences, and where various tools and arguments are employed to grow their strategic thinking, this article is the story of such a student-initiated problem. A seemingly simple question was posed by…

The Changing Science Curriculum

ERIC Educational Resources Information Center

Ediger, Marlow

2014-01-01

Science, as a curriculum area, has gone through many changes recently with the oncoming of the Common Core State Standards (CCSS), Science, Technology, Engineering, and Mathematics (STEM), as well as the Next Generation Science Standards (NGSS). Science is a part of everyday life which individuals experience. Even the drying up of a puddle of…

Piecing It Together

ERIC Educational Resources Information Center

Wickstrom, Megan H.

2014-01-01

Any of the key concepts that students need to know about area measurement are covered in the third-grade expectations detailed in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010). However, making sense of area measurement is not always an easy task for students; it takes time. Researchers have found that young children often…

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…

The Development of a Professional Statistics Teaching Identity

ERIC Educational Resources Information Center

Whitaker, Douglas

2016-01-01

Motivated by the increased statistics expectations for students and their teachers because of the widespread adoption of the Common Core State Standards for Mathematics, this study explores exemplary, in-service statistics teachers' professional identities using a theoretical framework informed by Gee (2000) and communities of practice (Lave &…

High-Leverage Principles of Effective Instruction for English Learners. From College and Career Ready Standards to Teaching and Learning in the Classroom: A Series of Resources for Teachers

ERIC Educational Resources Information Center

Neri, Rebecca; Lozano, Maritza; Chang, Sandy; Herman, Joan

2016-01-01

New college and career ready standards (CCRS) have established more rigorous expectations of learning for all learners, including English learner (EL) students, than what was expected in previous standards. A common feature in these new content-area standards, such as the Common Core State Standards in English language arts and mathematics and the…

Accelerating the College and Career Readiness of Minnesota's Students

ERIC Educational Resources Information Center

Alliance for Excellent Education, 2011

2011-01-01

Minnesota is in the process of transitioning to new English language arts and mathematics standards that will better prepare students to be successful in college and their careers. Time, effort, and resources must be dedicated to effective implementation in order to realize the promise of these new common core state standards. This state card…

Serious Play with Dynamic Plane Transformations

ERIC Educational Resources Information Center

King, James

2011-01-01

Transformations are a central organizing idea in geometry. They are included in most geometry curricula and are likely to appear with even greater emphasis in the future, given the central role they play in the "Common Core State Standards" for K-12 mathematics. One of the attractions of geometry is the ability to draw and construct the…

LEAP Assessment Guide. Grade 8: English Language Arts, Mathematics, Science, Social Studies

ERIC Educational Resources Information Center

Louisiana Department of Education, 2012

2012-01-01

"Louisiana Believes” embraces the principle that all children can achieve at high levels, as evidenced in Louisiana's recent adoption of the Common Core State Standards (CCSS). "Louisiana Believes" also promotes the idea that Louisiana's educators should be empowered to make decisions to support the success of their students. In…

The Common Core Learning Standards and Elementary Teachers' Math Instructional Practices, Receptivity to Change, Instructional Leadership and Academic Optimism

ERIC Educational Resources Information Center

Sullivan, Dennis D.

2016-01-01

This study sought to identify the relationships among elementary teachers instructional practices in mathematics pre- and post-CCLS implementation in relation to technological and pedagogical content knowledge (TPACK), formative assessment, reflective practice, receptivity to change, academic optimism, and instructional leadership across age,…

A Fair and Balance Approach to the Mean

ERIC Educational Resources Information Center

Peters, Susan A.; Bennett, Victoria Miller; Young, Mandy; Watkins, Jonathan D.

2016-01-01

The mean can be interpreted as a fair-share value and as a balance point. Standards documents, including Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), suggest focusing on both interpretations. In this article, the authors propose a sequence of five activities to help students develop these understandings of the mean, and they…

Accelerating the College and Career Readiness of Pennsylvania's Students

ERIC Educational Resources Information Center

Alliance for Excellent Education, 2011

2011-01-01

Pennsylvania is in the process of transitioning to new English language arts and mathematics standards that will better prepare students to be successful in college and their careers. Time, effort, and resources must be dedicated to effective implementation in order to realize the promise of these new common core state standards. This paper…

CCSSM Challenge: Graphing Ratio and Proportion

ERIC Educational Resources Information Center

Kastberg, Signe E.; D'Ambrosio, Beatriz S.; Lynch-Davis, Kathleen; Mintos, Alexia; Krawczyk, Kathryn

2013-01-01

A renewed emphasis was placed on ratio and proportional reasoning in the middle grades in the Common Core State Standards for Mathematics (CCSSM). The expectation for students includes the ability to not only compute and then compare and interpret the results of computations in context but also interpret ratios and proportions as they are…

Practices and Benefits of Reading in the Mathematics Curriculum

ERIC Educational Resources Information Center

Caputo, Matthew G.

2015-01-01

In the past several years, especially with the adoption of the Common Core State Standards, emphasis has been placed on connectivity among different academic subjects as well as between those subjects and the world. Simultaneously, there has been an increasing trend toward examination questions that are wordier and require more thinking and…

Dropping in on the Math of Plinko

ERIC Educational Resources Information Center

Naresh, Nirmala; Royce, Bridget

2013-01-01

The game of Plinko offers students an exciting real-world example of the applications of probability and data analysis. The Common Core State Standards for Mathematics (CCSSI 2010) and the Guidelines for Assessment in Statistics Education (GAISE) (Franklin et al. 2007) suggest that students in grades 6-8 be given ample opportunities to engage in…

High Standards Help Struggling Students: New Evidence. Charts You Can Trust

ERIC Educational Resources Information Center

Clark, Constance; Cookson, Peter W., Jr.

2012-01-01

The Common Core State Standards, adopted by 46 states and the District of Columbia, promise to raise achievement in English and mathematics through rigorous standards that promote deeper learning. But while most policymakers, researchers, and educators have embraced these higher standards, some question the fairness of raising the academic bar on…

Validation of Scores from a New Measure of Preservice Teachers' Self-Efficacy to Teach Statistics in the Middle Grades

ERIC Educational Resources Information Center

Harrell-Williams, Leigh M.; Sorto, M. Alejandra; Pierce, Rebecca L.; Lesser, Lawrence M.; Murphy, Teri J.

2014-01-01

The influential "Common Core State Standards for Mathematics" (CCSSM) expect students to start statistics learning during middle grades. Thus teacher education and professional development programs are advised to help preservice and in-service teachers increase their knowledge and confidence to teach statistics. Although existing…

Designing California's Next School Accountability Program

ERIC Educational Resources Information Center

Warren, Paul

2014-01-01

California is in the midst of a major K-12 reform effort. In 2010, the state adopted the Common Core State Standards (CCSS), which outline what students should know in mathematics and English. In 2013, it adopted tests of the new standards developed by the Smarter Balanced Assessment Collaborative (SBAC). These tests will be administered beginning…

Supporting Classroom Instruction: The Textbook Navigator/Journal

ERIC Educational Resources Information Center

Cogan, Leland S.; Burroughs, Nathan; Schmidt, William H.

2015-01-01

Researchers at the Center for the Study of Curriculum at Michigan State University have developed a tool to help teachers implement the Common Core State Standards in mathematics by letting standards, not textbooks, guide their instruction. Using the web-based Textbook Navigator/Journal, teachers can pick a standard and ask which portions of the…

How One State Established School Library/Technology Standards

ERIC Educational Resources Information Center

Bartow, Colet

2009-01-01

Educational standards continue to be hot topics of discussion for this year and, no doubt, beyond. The Council of Chief State School Officials (CCSSO) and the National Governors' Association Center for Best Practices (NGA Center) has initiated a study based on "Common Core" English/Language Arts and Mathematics Standards. The release of…

Do We Need National Standards or What?

ERIC Educational Resources Information Center

Bracey, Gerald W.

2009-01-01

The National Governors Association (NGA) and the Council of Chief State School Officers (CCSSO), working with several other groups, launched a project to develop a "common core" of standards that, if adopted by the states, would give a set of national standards in reading and mathematics with other subjects to come later. The author says…

Smarter Balanced and Higher Education: Preparing Young People for Postsecondary Success

ERIC Educational Resources Information Center

Smarter Balanced Assessment Consortium, 2012

2012-01-01

The Smarter Balanced Assessment Consortium is creating next-generation assessments aligned to the Common Core State Standards (CCSS) in English language arts/literacy and mathematics. With more than 40 states implementing the CCSS, the Smarter Balanced assessment system will allow states to certify that students have the knowledge and skills to…

Accelerating the College and Career Readiness of Wisconsin's Students

ERIC Educational Resources Information Center

Alliance for Excellent Education, 2011

2011-01-01

Wisconsin is in the process of transitioning to new English language arts and mathematics standards that will better prepare students to be successful in college and their careers. Time, effort, and resources must be dedicated to effective implementation in order to realize the promise of these new common core state standards. This paper captures…

Irrational Numbers, Square Roots, and Quadratic Equations

ERIC Educational Resources Information Center

Popovic, Gorjana

2015-01-01

To improve mathematics achievement of U.S. students and to assure that "what and how students are taught should reflect not only the topics within a certain academic discipline, but also the key ideas that determine how knowledge is organized and generated within that discipline" are dual goals of the Common Core State Standards for…

Web-Based Statistical Sampling and Analysis

ERIC Educational Resources Information Center

Quinn, Anne; Larson, Karen

2016-01-01

Consistent with the Common Core State Standards for Mathematics (CCSSI 2010), the authors write that they have asked students to do statistics projects with real data. To obtain real data, their students use the free Web-based app, Census at School, created by the American Statistical Association (ASA) to help promote civic awareness among school…

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).

Creating Next Generation Teacher Preparation Programs to Support Implementation of the Next Generation Science Standards and Common Core State Standards in K-12 Schools: An Opportunity for the Earth and Space Sciences

NASA Astrophysics Data System (ADS)

Geary, E. E.; Egger, A. E.; Julin, S.; Ronca, R.; Vokos, S.; Ebert, E.; Clark-Blickenstaff, J.; Nollmeyer, G.

2015-12-01

A consortium of two and four year Washington State Colleges and Universities in partnership with Washington's Office of the Superintendent of Public Instruction (OSPI), the Teachers of Teachers of Science, and Teachers of Teachers of Mathematics, and other key stakeholders, is currently working to improve science and mathematics learning for all Washington State students by creating a new vision for STEM teacher preparation in Washington State aligned with the Next Generation Science Standards (NGSS) and the Common Core State Standards (CCSS) in Mathematics and Language Arts. Specific objectives include: (1) strengthening elementary and secondary STEM Teacher Preparation courses and curricula, (2) alignment of STEM teacher preparation programs across Washington State with the NGSS and CCSS, (3) development of action plans to support implementation of STEM Teacher Preparation program improvement at Higher Education Institutions (HEIs) across the state, (4) stronger collaborations between HEIs, K-12 schools, government agencies, Non-Governmental Organizations, and STEM businesses, involved in the preparation of preservice STEM teachers, (5) new teacher endorsements in Computer Science and Engineering, and (6) development of a proto-type model for rapid, adaptable, and continuous improvement of STEM teacher preparation programs. A 2015 NGSS gap analysis of teacher preparation programs across Washington State indicates relatively good alignment of courses and curricula with NGSS Disciplinary Core Ideas and Scientific practices, but minimal alignment with NGSS Engineering practices and Cross Cutting Concepts. Likewise, Computer Science and Sustainability ideas and practices are not well represented in current courses and curricula. During the coming year teams of STEM faculty, education faculty and administrators will work collaboratively to develop unique action plans for aligning and improving STEM teacher preparation courses and curricula at their institutions.

Accelerating the College and Career Readiness of Oregon's Students

ERIC Educational Resources Information Center

Alliance for Excellent Education, 2011

2011-01-01

Oregon is in the process of transitioning to new English language arts and mathematics standards that will better prepare students to be successful in college and their careers. Time, effort, and resources must be dedicated to effective implementation in order to realize the promise of these new common core state standards. This paper captures the…

Strategies for Creating Work-Based Learning Experiences in Schools for Secondary Students with Disabilities

ERIC Educational Resources Information Center

Cease-Cook, Jennifer; Fowler, Catherine; Test, David W.

2015-01-01

Nationally, the recent focus has been on adopting state-developed standards in English language arts (ELA) and mathematics that build toward college and career readiness. Of the states that have elected to adopt the Common Core State Standards (CCSS; National Governors Association, Council of Chief State School Officers, 2012), states either (a)…

STEM Education on a Worldwide Voyage: Curriculum to College, Career, and Community Readiness

ERIC Educational Resources Information Center

Furuto, Linda H. L.

2015-01-01

This article addresses issues in equitable and quality STEM education, and comes at a significant time as students, educators, and policymakers strive to meet federal and state standards such as the Mathematics Common Core State Standards (CCSS) and Next Generation Science Standards (NGSS). CCSS and NGSS require significantly higher levels of…

Teaching Subtraction and Multiplication with Regrouping Using the Concrete-Representational-Abstract Sequence and Strategic Instruction Model

ERIC Educational Resources Information Center

Flores, Margaret M.; Hinton, Vanessa; Strozier, Shaunita D.

2014-01-01

Based on Common Core Standards (2010), mathematics interventions should emphasize conceptual understanding of numbers and operations as well as fluency. For students at risk for failure, the concrete-representational-abstract (CRA) sequence and the Strategic Instruction Model (SIM) have been shown effective in teaching computation with an emphasis…

Teaching Multiplication with Regrouping Using the Concrete-Representational-Abstract Sequence and the Strategic Instruction Model

ERIC Educational Resources Information Center

Flores, Margaret M.; Franklin, Toni M.

2014-01-01

The Common Core State Standards (2010) involve the demonstration of conceptual knowledge of numbers and operations. For students who struggle with mathematics and have not responded to instruction, it is important that interventions emphasize this understanding. In order to address conceptual understanding of numbers and operations in meeting the…

A Literature Review on Disciplinary Literacy: How Do Secondary Teachers Apprentice Students Into Mathematical Literacy?

ERIC Educational Resources Information Center

Hillman, Ann Marie

2014-01-01

Current adolescent literacy rates cause concerns at the number of students who graduate high school with basic or below-basic reading skills. The Common Core State Standards promote disciplinary literacy, which presents advanced literacy skills embedded in content area instruction. Disciplinary literacy is argued as a way to raise adolescent…

Accelerating the College and Career Readiness of Idaho's Students

ERIC Educational Resources Information Center

Alliance for Excellent Education, 2011

2011-01-01

Idaho is in the process of transitioning to new English language arts and mathematics standards that will better prepare students to be successful in college and their careers. Time, effort, and resources must be dedicated to effective implementation in order to realize the promise of these new common core state standards. This paper captures the…

Accelerating the College and Career Readiness of New Hampshire's Students

ERIC Educational Resources Information Center

Alliance for Excellent Education, 2011

2011-01-01

New Hampshire is in the process of transitioning to new English language arts and mathematics standards that will better prepare students to be successful in college and their careers. Time, effort, and resources must be dedicated to effective implementation in order to realize the promise of these new common core state standards. This paper…

Accelerating the College and Career Readiness of Hawaii's Students

ERIC Educational Resources Information Center

Alliance for Excellent Education, 2011

2011-01-01

Hawaii is in the process of transitioning to new English language arts and mathematics standards that will better prepare students to be successful in college and their careers. Time, effort, and resources must be dedicated to effective implementation in order to realize the promise of these new common core state standards. This paper captures the…

Using Academic Language to Level the Playing Field for English-Language Learners in Physical Education: Part 1

ERIC Educational Resources Information Center

Constantinou, Phoebe; Wuest, Deborah A.

2015-01-01

With the common core emphasis on English language art and mathematics skills, physical educators are faced with a challenging task. Educators, in general, are expected to identifying the language demands of their discipline and develop academic language skills within each disciplinary area. In other words, educators are expected to prepare…

Impact of Enhanced Anchored Instruction in Inclusive Math Classrooms

ERIC Educational Resources Information Center

Bottge, Brian A.; Toland, Michael D.; Gassaway, Linda; Butler, Mark; Choo, Sam; Griffen, Ann Katherine; Ma, Xin

2015-01-01

The Common Core State Standards for Mathematics will place more pressure on special education and math teachers to raise the skill levels of all students, especially those with disabilities in math (MD). The purpose of this study was to assess the effects of enhanced anchored instruction (EAI) on students with and without MD in co-taught general…

Academic Instruction and Students with Emotional and Behavioral Disorders

ERIC Educational Resources Information Center

Hagaman, Jessica L.

2012-01-01

Students with emotional and behavioral disorders (EBD) are known to experience academic deficits across core subject areas such as reading and mathematics. Until recently, less attention had been paid to the academic deficits of students with EBD. This was due, in part, to a common belief that academic deficits could not be addressed until problem…

Area Conceptions Sprout on Earth Day

ERIC Educational Resources Information Center

Wickstrom, Megan H.; Nelson, Julie; Chumbley, Jean

2015-01-01

With the adoption of the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), many concepts related to area are covered in third grade: (1) Recognizing area as an attribute of a plane figure; (2) Understanding that a square with a side length of one is a unit square; (3) Measuring area by tiling figures and counting the squares it…

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…

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…

A Mathematical Evaluation of the Core Conductor Model

PubMed Central

Clark, John; Plonsey, Robert

1966-01-01

This paper is a mathematical evaluation of the core conductor model where its three dimensionality is taken into account. The problem considered is that of a single, active, unmyelinated nerve fiber situated in an extensive, homogeneous, conducting medium. Expressions for the various core conductor parameters have been derived in a mathematically rigorous manner according to the principles of electromagnetic theory. The purpose of employing mathematical rigor in this study is to bring to light the inherent assumptions of the one dimensional core conductor model, providing a method of evaluating the accuracy of this linear model. Based on the use of synthetic squid axon data, the conclusion of this study is that the linear core conductor model is a good approximation for internal but not external parameters. PMID:5903155

Math Placement: The Importance of Getting It Right for All Students. Research Brief

ERIC Educational Resources Information Center

Fong, Anthony; Finkelstein, Neal

2014-01-01

Given the Common Core State Standards for Mathematics, California's history of math acceleration in the middle grades, and the concern for correct math course placement for all students, this brief examines patterns from the past to shed light on considerations for the future. The brief, written by WestEd's Tony Fong and Neal Finkelstein, presents…

Improving English Language Arts and Mathematics Teachers' Capabilities for Teaching Integrated Information Literacy Skills

ERIC Educational Resources Information Center

Ballard, Kevin

2013-01-01

Teachers in a large Illinois suburban school district will soon have to integrate the teaching of the Common Core State Standards into their content classes and may not feel prepared to do this effectively. Stephenson's definition of capability was used as the conceptual framework for this study, which holds that capable teachers are those who…

Technology and Curriculum Standards: How Well Do Internet-Based Learning Games Support Common Core Standards for Mathematics?

ERIC Educational Resources Information Center

Bingham, Teri; Ray, Jan

2013-01-01

In an effort to keep up with the new generation of digital learners, educators are integrating multiple forms of technology into their teaching, including online learning game applications. The purpose of this study was to determine the degree to which internet-based learning game applications selected by preservice teachers were aligned with the…

Attending High School Algebra I: In Search of Well-Managed, Engaging, Culturally Relevant, and Caring Classrooms

ERIC Educational Resources Information Center

Gannett, Cassandra Dunn

2012-01-01

The inequities in learning between the rich and the poor have become pervasive in United States. This is evidenced by the high school graduation rates, college attendance percentages, and employment statistics. Upon another wave of reform, the Common Core State Standards in mathematics are currently being adopted in hopes of increasing learning…

How PARCC's False Rigor Stunts the Academic Growth of All Students. White Paper No. 135

ERIC Educational Resources Information Center

McQuillan, Mark; Phelps, Richard P.; Stotsky, Sandra

2015-01-01

In July 2010, the Massachusetts Board of Elementary and Secondary Education (BESE) voted to adopt Common Core's standards in English language arts (ELA) and mathematics in place of the state's own standards in these two subjects. The vote was based largely on recommendations by Commissioner of Education Mitchell Chester and then Secretary of…

Criterion Validity Evidence for the easyCBM© CCSS Math Measures: Grades 6-8. Technical Report #1402

ERIC Educational Resources Information Center

Anderson, Daniel; Rowley, Brock; Alonzo, Julie; Tindal, Gerald

2012-01-01

The easyCBM© CCSS Math tests were developed to help inform teachers' instructional decisions by providing relevant information on students' mathematical skills, relative to the Common Core State Standards (CCSS). This technical report describes a study to explore the validity of the easyCBM© CCSS Math tests by evaluating the relation between…

Using Productive Disposition to Differentiate between Students' Level of Precision When Critiquing a Peer's Work

ERIC Educational Resources Information Center

Gilbert, Melissa C.

2014-01-01

This study examined the productive disposition of pre-algebra students who demonstrated similar knowledge of the focal content but varied in other academic behaviors expected in the Common Core State Standards for Mathematics (CCSSM). Specifically, the study considered students' attention to precision when critiquing a peer's work. The…

Using Academic Language to Level the Playing Field for English Language Learners in Physical Education: Part 2

ERIC Educational Resources Information Center

Constantinou, Phoebe; Wuest, Deborah A.

2015-01-01

The common core, with its emphasis on the development of English language art and mathematics skills and literacy, presents challenges for teachers of all subjects. Academic language is expected to be developed within each disciplinary area. In other words, educators are expected to identify the language demands of their discipline and prepare…

Pre-College Deaf Students' Understanding of Fractional Concepts: What We Know and What We Do Not Know

ERIC Educational Resources Information Center

Mousley, Keith; Kurz, Christopher

2015-01-01

Mathematical knowledge and skills are crucial to success in academics and the workplace. The Common Core State Standards emphasizes fraction teaching and learning in elementary school. This mixed-method study explores fraction concept understanding among 14 deaf and hard of hearing participants between the ages of 8 and 16, as quantitatively…

Core Skills Assessment to Improve Mathematical Competency

ERIC Educational Resources Information Center

Carr, Michael; Bowe, Brian; Ní Fhloinn, Eabhnat

2013-01-01

Many engineering undergraduates begin third-level education with significant deficiencies in their core mathematical skills. Every year, in the Dublin Institute of Technology, a diagnostic test is given to incoming first-year students, consistently revealing problems in basic mathematics. It is difficult to motivate students to address these…

75 FR 18170 - Submission for OMB Review; Comment Request

Federal Register 2010, 2011, 2012, 2013, 2014

2010-04-09

... subject areas, such as mathematics, reading, writing, science, U.S. history, civics, geography, economics... 4, 8, and 12 core (demographic) and subject-specific (reading (4, 8), mathematics (4, 8), science (8..., reading, mathematics, and science components); and grades 4 and 8 school questionnaires (core, reading...

The Process Is Just Messy: A Historical Perspective on Adoption of Innovations

ERIC Educational Resources Information Center

Orrill, Chandra Hawley

2016-01-01

Suppose you were an alien trying to understand how people in the United States feel about the Common Core School Standards for Mathematics (CCSSM). You could look at the Internet, mass media, YouTube and all of the other venues available. Walking away from them, you would be very confused about whether the U.S. loves or hates the CCSSM, whether…

California Diploma Project Technical Report I: Crosswalk Study--Crosswalk of the Intersegmental Committee for the Academic Senate Statements of Competencies to the Common Core State Standards

ERIC Educational Resources Information Center

McGaughy, Charis; de Gonzalez, Alicia

2012-01-01

The Educational Policy Improvement Center (EPIC) conducted an investigation of the Intersegmental Committee for the Academic Senates (ICAS) Statements of Competencies for Mathematics and Academic Literacy. The purpose of this work is to understand how the ICAS competencies relate to college and career readiness, as represented by the augmented…

Algebra? There's an App for That: Florida Goes Online with Math Support for Teachers and Students

ERIC Educational Resources Information Center

Schackow, Joy Bronston; Cugini, Stephanie

2016-01-01

The transition to Common Core State Standards for Mathematics has created a need for high-quality professional learning on content and pedagogy. This is especially true for algebra 1 teachers in Florida, where students must pass a standards-based exam as a requirement to earning a high school diploma. Time, distance, and cost constraints can get…

Democratizing Access to Core Mathematics across Grades 9-12

ERIC Educational Resources Information Center

Hegedus, Stephen; Dalton, Sara; Brookstein, Arden; Tapper, John; Heller, Eric

2011-01-01

The authors' proposed work builds upon 12+ years of research collectively known as the "SimCalc Projects." SimCalc Connected MathWorlds (SCM) combines two innovative technological ingredients to address core mathematical ideas in deep and sustainable ways for mathematics learners. Software that addresses content issues through dynamic…

easyCBM CCSS Math Item Scaling and Test Form Revision (2012-2013): Grades 6-8. Technical Report #1313

ERIC Educational Resources Information Center

Anderson, Daniel; Alonzo, Julie; Tindal, Gerald

2012-01-01

The purpose of this technical report is to document the piloting and scaling of new easyCBM mathematics test items aligned with the Common Core State Standards (CCSS) and to describe the process used to revise and supplement the 2012 research version easyCBM CCSS math tests in Grades 6-8. For all operational 2012 research version test forms (10…

Study of the Reliability of CCSS-Aligned Math Measures (2012 Research Version): Grades 6-8. Technical Report #1312

ERIC Educational Resources Information Center

Anderson, Daniel; Alonzo, Julie; Tindal, Gerald

2012-01-01

In this technical report, we describe the results of a study of mathematics items written to align with the Common Core State Standards (CCSS) in grades 6-8. In each grade, CCSS items were organized into forms, and the reliability of these forms was evaluated along with an experimental form including items aligned with the National Council of…

Enhancing Core Mathematics Courses

ERIC Educational Resources Information Center

Billings, Esther; Schlicker, Steven; Novotny, Karen; Tefera, Akalu

2004-01-01

The Departments of Mathematics and Statistics at Grand Valley State University are engaged in a project to address the mathematical preparation of all its majors, including prospective elementary and secondary mathematics teachers. In this article, we describe how the mathematics and mathematics education faculty in our mathematics department…

Core skills assessment to improve mathematical competency

NASA Astrophysics Data System (ADS)

Carr, Michael; Bowe, Brian; Fhloinn, Eabhnat Ní

2013-12-01

Many engineering undergraduates begin third-level education with significant deficiencies in their core mathematical skills. Every year, in the Dublin Institute of Technology, a diagnostic test is given to incoming first-year students, consistently revealing problems in basic mathematics. It is difficult to motivate students to address these problems; instead, they struggle through their degree, carrying a serious handicap of poor core mathematical skills, as confirmed by exploratory testing of final year students. In order to improve these skills, a pilot project was set up in which a 'module' in core mathematics was developed. The course material was basic, but 90% or higher was required to pass. Students were allowed to repeat this module throughout the year by completing an automated examination on WebCT populated by a question bank. Subsequent to the success of this pilot with third-year mechanical engineering students, the project was extended to five different engineering programmes, across three different year-groups. Full results and analysis of this project are presented, including responses to interviews carried out with a selection of the students involved.

How Well Do Engineering Students Retain Core Mathematical Knowledge after a Series of High Threshold Online Mathematics Tests?

ERIC Educational Resources Information Center

Carr, Michael; Prendergast, Mark; Breen, Cormac; Faulkner, Fiona

2017-01-01

In the Dublin Institute of Technology, high threshold core skills assessments are run in mathematics for third-year engineering students. Such tests require students to reach a threshold of 90% on a multiple choice test based on a randomized question bank. The material covered by the test consists of the more important aspects of undergraduate…

Determination of power distribution in the VVER-440 core on the basis of data from in-core monitors by means of a metric analysis

DOE Office of Scientific and Technical Information (OSTI.GOV)

Kryanev, A. V.; Udumyan, D. K.; Kurchenkov, A. Yu., E-mail: s327@vver.kiae.ru

2014-12-15

Problems associated with determining the power distribution in the VVER-440 core on the basis of a neutron-physics calculation and data from in-core monitors are considered. A new mathematical scheme is proposed for this on the basis of a metric analysis. In relation to the existing mathematical schemes, the scheme in question improves the accuracy and reliability of the resulting power distribution.

Making STEM Real

ERIC Educational Resources Information Center

Hoachlander, Gary; Yanofsky, Dave

2011-01-01

In too many schools, science and mathematics are taught separately with little or no attention to technology and engineering. Also, science and mathematics tend to function in isolation from other core subjects. In California, Linked Learning: Pathways to College and Career Success connects core academics to challenging professional and technical…

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…

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…

Pre-Service Accounting Teachers' Attitudes to Mathematics

ERIC Educational Resources Information Center

Mkhize, Msizi Vitalis; Maistry, Suriamurthee Moonsamy

2017-01-01

Mathematics proficiency has an acknowledged impact on students' accounting grades. Success in this core business subject is dependent on students' mathematical aptitude, attitude and type of secondary schooling. Our study investigated accounting students' attitudes to mathematics on domains of the Fennema-Sherman Mathematics Attitudes Scales…

Evaluation of shrinking core model in leaching process of Pomalaa nickel laterite using citric acid as leachant at atmospheric conditions

NASA Astrophysics Data System (ADS)

Wanta, K. C.; Perdana, I.; Petrus, H. T. B. M.

2016-11-01

Most of kinetics studies related to leaching process used shrinking core model to describe physical phenomena of the process. Generally, the model was developed in connection with transport and/or reaction of reactant components. In this study, commonly used internal diffusion controlled shrinking core model was evaluated for leaching process of Pomalaa nickel laterite using citric acid as leachant. Particle size was varied at 60-70, 100-120, -200 meshes, while the operating temperature was kept constant at 358 K, citric acid concentration at 0.1 M, pulp density at 20% w/v and the leaching time was for 120 minutes. Simulation results showed that the shrinking core model was inadequate to closely approach the experimental data. Meanwhile, the experimental data indicated that the leaching process was determined by the mobility of product molecules in the ash layer pores. In case of leaching resulting large product molecules, a mathematical model involving steps of reaction and product diffusion might be appropriate to develop.

Detecting Strengths and Weaknesses in Learning Mathematics through a Model Classifying Mathematical Skills

ERIC Educational Resources Information Center

Karagiannakis, Giannis N.; Baccaglini-Frank, Anna E.; Roussos, Petros

2016-01-01

Through a review of the literature on mathematical learning disabilities (MLD) and low achievement in mathematics (LA) we have proposed a model classifying mathematical skills involved in learning mathematics into four domains (Core number, Memory, Reasoning, and Visual-spatial). In this paper we present a new experimental computer-based battery…

Two-dimensional Mathematical Model of Oil-bearing Materials in Extrusion-type Transportation over Rectangular Screw Core

NASA Astrophysics Data System (ADS)

Gukasyan, A. V.; Koshevoy, E. P.; Kosachev, V. S.

2018-05-01

A comparative analysis of alternative models for plastic flow in extrusive transportation of oil-bearing materials was conducted; the research was directed at determining the function describing the screw core throughput capacity of the press (extruder). Transition from a one-dimensional model to a two-dimensional model significantly improves the mathematical model and allows using two-dimensional rheological models determining the throughput of the screw core.

Locating Mathematics within Post-16 Vocational Education in England

ERIC Educational Resources Information Center

Dalby, Diane; Noyes, Andrew

2016-01-01

The political importance of mathematics in post-16 education is clear. Far less clear is how mathematics does and should relate to vocational education. Successive mathematics curricula (e.g. core skills, key skills) have been developed in England with vocational learners in mind. Meanwhile, general mathematics qualifications remain largely…

Confronting the Core Curriculum: Considering Change in the Undergraduate Mathematics Major. Proceedings of the West Point Core Curriculum Conference in Mathematics (West Point, New York, April 23-24, 1994). Notes 45.

ERIC Educational Resources Information Center

Dossey, John A., Ed.

This document contains the proceedings of a conference held at the U.S. Military Academy to consider the question of core requirements for the courses often employed by partner disciplines, what concepts and procedural skills are really central, and how these questions might lead to the creation of a new undergraduate set of requirements that meet…

Is Knowing Another Language as Important as Knowing "Core" Subjects Like Mathematics or Science

ERIC Educational Resources Information Center

Kouritzin, Sandra G.

2012-01-01

This article explores, through interview data with 125 respondents in Canada, whether the study of foreign languages can be considered as important as the study of the "core" STEMM (science, technology, engineering, mathematics, medicine) subjects in school and university curricula. Five categories of interviewees, including those…

The Effectiveness of Blended Instruction in Core Postsecondary Mathematics Courses

ERIC Educational Resources Information Center

Bargagliotti, Anna; Botelho, Fernanda; Gleason, Jim; Haddock, John; Windsor, Alistair

2012-01-01

Most students in U.S. universities are required to take a collection of core courses regardless of their degree or major. These courses are known as "general education" courses. The general education requirements typically include at least one mathematics course. Unfortunately each year hundreds of thousands of students in the US do not…

Interesting and Difficult Mathematical Problems: Changing Teachers' Views by Employing Multiple-Solution Tasks

ERIC Educational Resources Information Center

Guberman, Raisa; Leikin, Roza

2013-01-01

The study considers mathematical problem solving to be at the heart of mathematics teaching and learning, while mathematical challenge is a core element of any educational process. The study design addresses the complexity of teachers' knowledge. It is aimed at exploring the development of teachers' mathematical and pedagogical conceptions…

Challenging Some Contemporary Views of Coronal Mass Ejections. II. The Case for Absent Filaments

NASA Astrophysics Data System (ADS)

Howard, T. A.; DeForest, C. E.; Schneck, U. G.; Alden, C. R.

2017-01-01

When a coronal mass ejection (CME) appears in a coronagraph it often exhibits three parts. This “classic” three-part configuration consists of a bright leading edge, a dark circular- or teardrop-shaped cavity, and a bright core within the cavity. It is generally accepted that these are manifestations of coronal plasma pileup, the driving magnetic flux rope, and the associated eruptive filament, respectively. The latter has become accepted by the community since coronagraph CMEs have been commonly associated with eruptive filaments for over 40 years. In this second part of our series challenging views on CMEs, we present the case that the inner core of the three-part coronagraph CME may not be, and in the most common cases is not, a filament. We present our case in the form of four exhibits showing that most of the CMEs in a broad survey are not associated with an eruptive filament at the Sun, and that the cores of those CMEs that are filament-associated do not geometrically resemble or consist of material from the associated filament. We conclude with a discussion on the possible causes of the bright CME core and what happens to the filament material postlaunch. We discuss how the CME core could arise spontaneously from the eruption of a flux rope from the Sun, or could be the result of a mathematical caustic produced by the geometric projection of a twisted flux rope.

CHALLENGING SOME CONTEMPORARY VIEWS OF CORONAL MASS EJECTIONS. II. THE CASE FOR ABSENT FILAMENTS

DOE Office of Scientific and Technical Information (OSTI.GOV)

Howard, T. A.; DeForest, C. E.; Schneck, U. G.

2017-01-01

When a coronal mass ejection (CME) appears in a coronagraph it often exhibits three parts. This “classic” three-part configuration consists of a bright leading edge, a dark circular- or teardrop-shaped cavity, and a bright core within the cavity. It is generally accepted that these are manifestations of coronal plasma pileup, the driving magnetic flux rope, and the associated eruptive filament, respectively. The latter has become accepted by the community since coronagraph CMEs have been commonly associated with eruptive filaments for over 40 years. In this second part of our series challenging views on CMEs, we present the case that themore » inner core of the three-part coronagraph CME may not be, and in the most common cases is not, a filament. We present our case in the form of four exhibits showing that most of the CMEs in a broad survey are not associated with an eruptive filament at the Sun, and that the cores of those CMEs that are filament-associated do not geometrically resemble or consist of material from the associated filament. We conclude with a discussion on the possible causes of the bright CME core and what happens to the filament material postlaunch. We discuss how the CME core could arise spontaneously from the eruption of a flux rope from the Sun, or could be the result of a mathematical caustic produced by the geometric projection of a twisted flux rope.« less

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…

Defective Number Sense or Impaired Access? Differential Impairments in Different Subgroups of Children with Mathematics Difficulties

ERIC Educational Resources Information Center

Wong, Terry T.-Y.; Ho, Connie S.-H.; Tang, Joey

2017-01-01

Developmental dyscalculia (DD) is a specific learning disability in mathematics that affects around 6% of the population. Currently, the core deficit of DD remains unknown. While the number sense deficit hypothesis suggests that the core deficit of DD lies in the inability to represent nonsymbolic numerosity, the access deficit hypothesis suggests…

Addressing the Needs of a Developing Nation: Electronic Maps of Mathematical Learning Resources Accessible via the Internet

ERIC Educational Resources Information Center

Fathurrohman, Maman; Porter, Anne

2012-01-01

Teaching and learning of mathematics are integral parts of societies throughout the world. The fundamental or core nature of mathematics, its compulsory acquisition, requires high quality mathematics learning experiences. Moreover it is highly desirable that the emergence of new technology positively influences learning experiences in mathematics.…

Applying an Alternative Mathematics Pedagogy for Students with Weak Mathematics: Meta-Analysis of Alternative Pedagogies

ERIC Educational Resources Information Center

Lake, Warren; Wallin, Margie; Woolcott, Geoff; Boyd, Wendy; Foster, Alan; Markopoulos, Christos; Boyd, William

2017-01-01

Student mathematics performance and the need for work-ready graduates to be mathematics-competent is a core issue for many universities. While both student and teacher are responsible for learning outcomes, there is a need to explicitly acknowledge the weak mathematics foundation of many university students. A systematic literature review was…

Effects of Animated Agents in Web-Based Instruction on Mathematics: Achievement and Attitudes toward Mathematics

ERIC Educational Resources Information Center

Lodree, Anika W.; Moore, Joi L.; Gilbert, Juan E.

2008-01-01

This article summarizes a quantitative study of the effects of animated agents in web-based instruction (WBI) on mathematics achievement and attitudes toward mathematics in postsecondary education. Eighty-one college students who were enrolled in a core mathematic course at a doctoral/research-extensive university in central Alabama participated…

34 CFR 300.10 - Core academic subjects.

Code of Federal Regulations, 2010 CFR

2010-07-01

... DISABILITIES General Definitions Used in This Part § 300.10 Core academic subjects. Core academic subjects means English, reading or language arts, mathematics, science, foreign languages, civics and government...

Mathematical Sense-Making in Quantum Mechanics: An Initial Peek

ERIC Educational Resources Information Center

Dreyfus, Benjamin W.; Elby, Andrew; Gupta, Ayush; Sohr, Erin Ronayne

2017-01-01

Mathematical sense-making--looking for coherence between the structure of the mathematical formalism and causal or functional relations in the world--is a core component of physics expertise. Some physics education research studies have explored what mathematical sense-making looks like at the introductory physics level, while some historians and…

Principles to Actions: Mathematics Programs as the Core for Student Learning

ERIC Educational Resources Information Center

Brahier, Daniel; Leinwand, Steve; Huniker, DeAnn

2014-01-01

The National Council of Teachers of Mathematics (NCTM) launched the "standards-based" education movement in North America in 1989 with the release of "Curriculum and Evaluation Standards for School Mathematics," an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the…

Supporting Mathematics Teachers' Development through Higher Education

ERIC Educational Resources Information Center

Prendergast, Mark; Roche, Joseph

2017-01-01

Mathematics education, both nationally and internationally, is facing a number of challenges with significant on-going shifts in the structure, content, and core principles of mathematics curricula in countries around the world. For example, in Ireland there was an ambitious reform of the post-primary mathematics curricula in 2010 with further…

Review of Evidence-Based Mathematics Interventions for Students with Autism Spectrum Disorders

ERIC Educational Resources Information Center

Hart Barnett, Juliet E.; Cleary, Shannon

2015-01-01

Students with autism spectrum disorders (ASD) are being included more frequently in the general educational setting, and are therefore increasingly expected to access and master core curricular content, including mathematics. However, mathematics often presents challenges to students with ASD. Interventions to improve the mathematics skills of…

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…

NCTM Principles and Standards for Mathematically Talented Students

ERIC Educational Resources Information Center

Deal, Linda J.; Wismer, Michael G.

2010-01-01

The "Principles and Standards for School Mathematics" published in 2000 by the National Council of Teachers of Mathematics (NCTM) created a vision of mathematical concepts and processes to establish core educational guidelines for instruction from grades K to 12. The overall plan does emphasize higher level thinking, problem solving, and…

Early Numeracy Assessment: The Development of the Preschool Numeracy Scales

PubMed Central

Purpura, David J.; Lonigan, Christopher J.

2015-01-01

Research Findings The focus of this study was to construct and validate twelve brief early numeracy assessment tasks that measure the skills and concepts identified as key to early mathematics development by the National Council of Teachers of Mathematics (2006) and the National Mathematics Advisory Panel (2008)—as well as critical developmental precursors to later mathematics skill by the Common Core State Standards (CCSS; 2010). Participants were 393 preschool children ages 3 to 5 years old. Measure development and validation occurred through three analytic phases designed to ensure that the measures were brief, reliable, and valid. These measures included: one-to-one counting, cardinality, counting subsets, subitizing, number comparison, set comparison, number order, numeral identification, set-to-numerals, story problems, number combinations, and verbal counting. Practice or Policy Teachers have extensive demands on their time, yet, they are tasked with ensuring that all students’ academic needs are met. To identify individual instructional needs and measure progress, they need to be able to efficiently assess children’s numeracy skills. The measures developed in this study are not only reliable and valid, but also easy to use and can be utilized for measuring the effects of targeted instruction on individual numeracy skills. PMID:25709375

The Impact of a Comprehensive Tier I Core Kindergarten Program on the Achievement of Students at Risk in Mathematics

ERIC Educational Resources Information Center

Clarke, Ben; Smolkowski, Keith; Baker, Scott K.; Fien, Hank; Doabler, Christian T.; Chard, David J.

2011-01-01

This study examined the efficacy of a core kindergarten mathematics program, ELM, a 120-lesson comprehensive curriculum providing instruction in (a) number operations, (b) geometry, (c) measurement, and (d) vocabulary. ELM is designed to address the learning needs of all students, including at-risk students in the general education or Tier I…

A Core Curriculum: Making Mathematics Count for Everyone. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 9-12.

ERIC Educational Resources Information Center

Meiring, Steven P.; And Others

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," 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 that the Addenda Series will…

Basic mathematical cognition.

PubMed

Gaber, David; Schlimm, Dirk

2015-01-01

Mathematics is a powerful tool for describing and developing our knowledge of the physical world. It informs our understanding of subjects as diverse as music, games, science, economics, communications protocols, and visual arts. Mathematical thinking has its roots in the adaptive behavior of living creatures: animals must employ judgments about quantities and magnitudes in the assessment of both threats (how many foes) and opportunities (how much food) in order to make effective decisions, and use geometric information in the environment for recognizing landmarks and navigating environments. Correspondingly, cognitive systems that are dedicated to the processing of distinctly mathematical information have developed. In particular, there is evidence that certain core systems for understanding different aspects of arithmetic as well as geometry are employed by humans and many other animals. They become active early in life and, particularly in the case of humans, develop through maturation. Although these core systems individually appear to be quite limited in application, in combination they allow for the recognition of mathematical properties and the formation of appropriate inferences based upon those properties. In this overview, the core systems, their roles, their limitations, and their interaction with external representations are discussed, as well as possibilities for how they can be employed together to allow us to reason about more complex mathematical domains. © 2015 John Wiley & Sons, Ltd.

Vision for the College, Career, and Civic Life (C3) Framework for Inquiry in Social Studies State Standards: Guidance for States to Use in Enhancing Their Standards for Rigor in Civics, Economics, Geography, and History in K-12 Schools

ERIC Educational Resources Information Center

Council of Chief State School Officers, 2012

2012-01-01

In the advent of the development and mass adoption of the common core state standards for English language arts and mathematics, state and local agencies have now expressed a need to the Council of Chief State School Officers (CCSSO or the Council) for assistance as they upgrade existing social studies standards to meet the practical goal of…

Elements of Mathematics, Book 11: Finite Probability Spaces.

ERIC Educational Resources Information Center

Exner, Robert; And Others

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…

Elements of Mathematics, Book 8: Elements of Geometry.

ERIC Educational Resources Information Center

Exner, Robert; And Others

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…

NIRP Core Software Suite v. 1.0

DOE Office of Scientific and Technical Information (OSTI.GOV)

Whitener, Dustin Heath; Folz, Wesley; Vo, Duong

The NIRP Core Software Suite is a core set of code that supports multiple applications. It includes miscellaneous base code for data objects, mathematic equations, and user interface components; and the framework includes several fully-developed software applications that exist as stand-alone tools to compliment other applications. The stand-alone tools are described below. Analyst Manager: An application to manage contact information for people (analysts) that use the software products. This information is often included in generated reports and may be used to identify the owners of calculations. Radionuclide Viewer: An application for viewing the DCFPAK radiological data. Compliments the Mixture Managermore » tool. Mixture Manager: An application to create and manage radionuclides mixtures that are commonly used in other applications. High Explosive Manager: An application to manage explosives and their properties. Chart Viewer: An application to view charts of data (e.g. meteorology charts). Other applications may use this framework to create charts specific to their data needs.« less

A Proposed System for Differentiating Elementary Mathematics for Exceptionally Able Students.

ERIC Educational Resources Information Center

Sirr, Palma M.

1984-01-01

A pilot mathematics project for one exceptionally able elementary student expanded to include other students and schools. Project activities included a needs assessment and development of a learning center approach and materials to differentiate the core elementary mathematics curriculum. (CL)

Which Advanced Mathematics Courses Influence ACT Score? A State Level Analysis of the Iowa Class of 2012

ERIC Educational Resources Information Center

Grinstead, Mary L.

2013-01-01

This study explores the relationship between specific advanced mathematics courses and college readiness (as determined by ACT score). The ACT organization has found a consistent relationship between taking a minimum core number of mathematics courses and higher ACT scores (mathematics and composite) (ACT, Inc., 2012c). However, the extent to…

Structure and Typical Profiles of Elementary Teacher Students' View of Mathematics

ERIC Educational Resources Information Center

Hannula, Markku S.; Kaasila, Raimo; Laine, Anu; Pehkonen, Erkki

2005-01-01

The elementary school teachers' view of mathematics is important because it will influence the way they will teach mathematics. Based on a survey study in three Finnish universities we explored the structure of student teachers view of mathematics and also the different belief profiles that they had. The core of student teachers' view consisted of…

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 Efficacy and Professional Development Needs of Wyoming Agricultural Education Teachers

ERIC Educational Resources Information Center

Haynes, J. Chris; Stripling, Christopher T.

2014-01-01

School-based agricultural education programs provide contextualized learning environments for the teaching of core academic subject matter. This study sought to examine the mathematics efficacy and professional development needs of Wyoming agricultural education teachers related to teaching contextualized mathematics. Wyoming agricultural…

Defining Computational Thinking for Mathematics and Science Classrooms

ERIC Educational Resources Information Center

Weintrop, David; Beheshti, Elham; Horn, Michael; Orton, Kai; Jona, Kemi; Trouille, Laura; Wilensky, Uri

2016-01-01

Science and mathematics are becoming computational endeavors. This fact is reflected in the recently released Next Generation Science Standards and the decision to include "computational thinking" as a core scientific practice. With this addition, and the increased presence of computation in mathematics and scientific contexts, a new…

Prokaryotic regulatory systems biology: Common principles governing the functional architectures of Bacillus subtilis and Escherichia coli unveiled by the natural decomposition approach.

PubMed

Freyre-González, Julio A; Treviño-Quintanilla, Luis G; Valtierra-Gutiérrez, Ilse A; Gutiérrez-Ríos, Rosa María; Alonso-Pavón, José A

2012-10-31

Escherichia coli and Bacillus subtilis are two of the best-studied prokaryotic model organisms. Previous analyses of their transcriptional regulatory networks have shown that they exhibit high plasticity during evolution and suggested that both converge to scale-free-like structures. Nevertheless, beyond this suggestion, no analyses have been carried out to identify the common systems-level components and principles governing these organisms. Here we show that these two phylogenetically distant organisms follow a set of common novel biologically consistent systems principles revealed by the mathematically and biologically founded natural decomposition approach. The discovered common functional architecture is a diamond-shaped, matryoshka-like, three-layer (coordination, processing, and integration) hierarchy exhibiting feedback, which is shaped by four systems-level components: global transcription factors (global TFs), locally autonomous modules, basal machinery and intermodular genes. The first mathematical criterion to identify global TFs, the κ-value, was reassessed on B. subtilis and confirmed its high predictive power by identifying all the previously reported, plus three potential, master regulators and eight sigma factors. The functionally conserved cores of modules, basal cell machinery, and a set of non-orthologous common physiological global responses were identified via both orthologous genes and non-orthologous conserved functions. This study reveals novel common systems principles maintained between two phylogenetically distant organisms and provides a comparison of their lifestyle adaptations. Our results shed new light on the systems-level principles and the fundamental functions required by bacteria to sustain life. Copyright © 2012 Elsevier B.V. All rights reserved.

Precision in the Teaching, Learning, and Communication of Elementary School Mathematics: A Reply to Wilson's "Elementary School Mathematics Priorities"

ERIC Educational Resources Information Center

Maher, Carolyn; Weber, Keith

2009-01-01

In "Elementary School Mathematics Priorities," Wilson (2009 [this issue]) presents a list of five core concepts that students should master in elementary school so that they can succeed in algebra. As researchers in mathematics education, the authors enthusiastically endorse Wilson's recommendations. Learning algebra is key to further study of…

INTERACTION OF LASER RADIATION WITH MATTER. LASER PLASMA: Mathematical simulation of the spectrum of a nonequilibrium laser plasma

NASA Astrophysics Data System (ADS)

Mazhukin, V. I.; Nikiforov, M. G.; Fievet, Christian

2006-02-01

A method is proposed for calculating the spectrum of a nonequilibrium plasma, which is based on a nonequilibrium collision—radiation model including all common line broadening mechanisms (natural, pressure, Doppler, and quadratic Stark effect broadening) and supplemented with the energy balance equations for electrons and ions. The nonequilibrium populations of the ground and excited states of neutral atoms and ions for an arbitrary instant of time are found by solving kinetic equations. The shape of each spectral line is determined by its central core calculated in the collision approximation up to the frequency boundary of its applicability, where the central core is 'joined' with the line wings calculated in the quasi-static approximation. The validity of this theoretical model is confirmed by simulations of a number of experimental studies of emission spectra under the conditions of a local thermodynamic equilibrium. It is shown that the calculated and experimental data obtained for the ground-state lines of the first carbon ion and neutral helium and argon atoms are in good agreement. The nonequilibrium spectrum of the optical breakdown in argon is calculated. Mathematical simulations showed that the intensities of nonequilibrium line spectra can be noticeably (by several times) lower than those of equilibrium spectra.

Self-Contained versus Departmentalized School Organization and the Impact on Fourth and Fifth Grade Student Achievement in Reading and Mathematics as Determined by the Kentucky Core Content Test

ERIC Educational Resources Information Center

Kent, Kimberly Penn

2010-01-01

The primary purpose of this study was to determine if there was a difference between self-contained and departmentalized classroom organization on the Kentucky Core Content Test (KCCT) in reading and mathematics for students in fourth and fifth grade. A secondary purpose of this study was to consider how these organizational structures affect the…

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…

Findings from a Multi-Year Scale-up Effectiveness Trial of Everyday Mathematics

ERIC Educational Resources Information Center

Vaden-Kiernan, Michael; Borman, Geoffrey; Caverly, Sarah; Bell, Nance; Ruiz de Castilla, Veronica; Sullivan, Kate; Rodriguez, Debra

2015-01-01

This study addresses the effectiveness of "Everyday Mathematics" (EM), a widely used core mathematics curriculum that reflects over two decades of National Science Foundation (NSF)-sponsored research and development studies (Klein, 2007; National Research Council, 2004) and aligns well with recommended policies and practices by the…

Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report. Updated

ERIC Educational Resources Information Center

What Works Clearinghouse, 2013

2013-01-01

"Scott Foresman-Addison Wesley Elementary Mathematics" is a core mathematics curriculum for students in prekindergarten through grade 6. The program aims to improve students' understanding of key math concepts through problem-solving instruction, hands-on activities, and math problems that involve reading and writing. The curriculum…

A Graph Theoretical Approach to Study the Organization of the Cortical Networks during Different Mathematical Tasks

PubMed Central

Klados, Manousos A.; Kanatsouli, Kassia; Antoniou, Ioannis; Babiloni, Fabio; Tsirka, Vassiliki; Bamidis, Panagiotis D.; Micheloyannis, Sifis

2013-01-01

The two core systems of mathematical processing (subitizing and retrieval) as well as their functionality are already known and published. In this study we have used graph theory to compare the brain network organization of these two core systems in the cortical layer during difficult calculations. We have examined separately all the EEG frequency bands in healthy young individuals and we found that the network organization at rest, as well as during mathematical tasks has the characteristics of Small World Networks for all the bands, which is the optimum organization required for efficient information processing. The different mathematical stimuli provoked changes in the graph parameters of different frequency bands, especially the low frequency bands. More specific, in Delta band the induced network increases it’s local and global efficiency during the transition from subitizing to retrieval system, while results suggest that difficult mathematics provoke networks with higher cliquish organization due to more specific demands. The network of the Theta band follows the same pattern as before, having high nodal and remote organization during difficult mathematics. Also the spatial distribution of the network’s weights revealed more prominent connections in frontoparietal regions, revealing the working memory load due to the engagement of the retrieval system. The cortical networks of the alpha brainwaves were also more efficient, both locally and globally, during difficult mathematics, while the fact that alpha’s network was more dense on the frontparietal regions as well, reveals the engagement of the retrieval system again. Concluding, this study gives more evidences regarding the interaction of the two core systems, exploiting the produced functional networks of the cerebral cortex, especially for the difficult mathematics. PMID:23990992

A Graph theoretical approach to study the organization of the cortical networks during different mathematical tasks.

PubMed

Klados, Manousos A; Kanatsouli, Kassia; Antoniou, Ioannis; Babiloni, Fabio; Tsirka, Vassiliki; Bamidis, Panagiotis D; Micheloyannis, Sifis

2013-01-01

The two core systems of mathematical processing (subitizing and retrieval) as well as their functionality are already known and published. In this study we have used graph theory to compare the brain network organization of these two core systems in the cortical layer during difficult calculations. We have examined separately all the EEG frequency bands in healthy young individuals and we found that the network organization at rest, as well as during mathematical tasks has the characteristics of Small World Networks for all the bands, which is the optimum organization required for efficient information processing. The different mathematical stimuli provoked changes in the graph parameters of different frequency bands, especially the low frequency bands. More specific, in Delta band the induced network increases it's local and global efficiency during the transition from subitizing to retrieval system, while results suggest that difficult mathematics provoke networks with higher cliquish organization due to more specific demands. The network of the Theta band follows the same pattern as before, having high nodal and remote organization during difficult mathematics. Also the spatial distribution of the network's weights revealed more prominent connections in frontoparietal regions, revealing the working memory load due to the engagement of the retrieval system. The cortical networks of the alpha brainwaves were also more efficient, both locally and globally, during difficult mathematics, while the fact that alpha's network was more dense on the frontparietal regions as well, reveals the engagement of the retrieval system again. Concluding, this study gives more evidences regarding the interaction of the two core systems, exploiting the produced functional networks of the cerebral cortex, especially for the difficult mathematics.

Can small field diode correction factors be applied universally?

PubMed

Liu, Paul Z Y; Suchowerska, Natalka; McKenzie, David R

2014-09-01

Diode detectors are commonly used in dosimetry, but have been reported to over-respond in small fields. Diode correction factors have been reported in the literature. The purpose of this study is to determine whether correction factors for a given diode type can be universally applied over a range of irradiation conditions including beams of different qualities. A mathematical relation of diode over-response as a function of the field size was developed using previously published experimental data in which diodes were compared to an air core scintillation dosimeter. Correction factors calculated from the mathematical relation were then compared those available in the literature. The mathematical relation established between diode over-response and the field size was found to predict the measured diode correction factors for fields between 5 and 30 mm in width. The average deviation between measured and predicted over-response was 0.32% for IBA SFD and PTW Type E diodes. Diode over-response was found to be not strongly dependent on the type of linac, the method of collimation or the measurement depth. The mathematical relation was found to agree with published diode correction factors derived from Monte Carlo simulations and measurements, indicating that correction factors are robust in their transportability between different radiation beams. Copyright © 2014. Published by Elsevier Ireland Ltd.

Students' Engagement Profiles in Mathematics According to Learning Environment Dimensions: Developing an Evidence Base for Best Practice in Mathematics Education

ERIC Educational Resources Information Center

Watt, Helen M. G.; Carmichael, Colin; Callingham, Rosemary

2017-01-01

The Best Practice in Mathematics Education project was funded by the Australian Office of the Chief Scientist, to examine promotion of students' learning, engagement and aspirations in this core learning domain. We draw upon cross-sectional survey data from 551 students in grades three to nine to examine how students' mathematics engagement…

Core subjects at the end of primary school: identifying and explaining relative strengths of children with specific language impairment (SLI)

PubMed Central

Durkin, Kevin; Mok, Pearl L H; Conti-Ramsden, Gina

2015-01-01

Background In general, children with specific language impairment (SLI) tend to fall behind their typically developing (TD) peers in educational attainment. Less is known about how children with SLI fare in particular areas of the curriculum and what predicts their levels of performance. Aims To compare the distributions of performance of children with SLI in three core school subjects (English, Mathematics and Science); to test the possibility that performance would vary across the core subjects; and to examine the extent to which language impairment predicts performance. Methods & Procedures This study was conducted in England and reports historical data on educational attainments. Teacher assessment and test scores of 176 eleven-year-old children with SLI were examined in the three core subjects and compared with known national norms. Possible predictors of performance were measured, including language ability at ages 7 and 11, educational placement type, and performance IQ. Outcomes & Results Children with SLI, compared with national norms, were found to be at a disadvantage in core school subjects. Nevertheless, some children attained the levels expected of TD peers. Performance was poorest in English; relative strengths were indicated in Science and, to a lesser extent, in Mathematics. Language skills were significant predictors of performance in all three core subjects. PIQ was the strongest predictor for Mathematics. For Science, both early language skills at 7 years and PIQ made significant contributions. Conclusions & Implications Language impacts on the school performance of children with SLI, but differentially across subjects. English for these children is the most challenging of the core subjects, reflecting the high levels of language demand it incurs. Science is an area of relative strength and mathematics appears to be intermediate, arguably because some tasks in these subjects can be performed with less reliance on verbal processing. Many children with SLI do have the potential to reach or exceed educational targets that are set at national levels for TD children. PMID:25469890

IceChrono v1: a probabilistic model to compute a common and optimal chronology for several ice cores

NASA Astrophysics Data System (ADS)

Parrenin, Frédéric

2015-04-01

Polar ice cores provide exceptional archives of past environmental conditions. The dating of ice cores is essential to interpret the paleo records that they contain, but it is a complicated problem since it involves different dating methods. Here I present IceChrono v1, a new probabilistic model to combine different kinds of chronological information to obtain a common and optimized chronology for several ice cores, as well as its uncertainty. It is based on the inversion of three quantities: the surface accumulation rate, the Lock-In Depth (LID) of air bubbles and the vertical thinning function. The chronological information used are: models of the sedimentation process (accumulation of snow, densification of snow into ice and air trapping, ice flow), ice and gas dated horizons, ice and gas dated depth intervals, Δdepth observations (depth shift between synchronous events recorded in the ice and in the air), stratigraphic links in between ice cores (ice-ice, air-air or mix ice-air and air-ice links). The optimization problem is formulated as a least squares problems, that is, all densities of probabilities are assumed gaussian. It is numerically solved using the Levenberg-Marquardt algorithm and a numerical evaluation of the model's Jacobian. IceChrono is similar in scope to the Datice model, but has differences from the mathematical, numerical and programming point of views. I apply IceChrono on an AICC2012-like experiment and I find similar results than Datice within a few centuries, which is a confirmation of both IceChrono and Datice codes. IceChrono v1 is freely available under the GPL v3 open source license.

Elements of Mathematics, Book O: Intuitive Background. Chapter 1, Operational Systems.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2010

2010-01-01

"Scott Foresman-Addison Wesley Elementary Mathematics" is a core curriculum for students at all ability levels in prekindergarten through grade 6. The program supports students' understanding of key math concepts and skills and covers a range of mathematical content across grades. The What Works Clearinghouse (WWC) reviewed 12 studies on…

Recommendations for an Undergraduate Program in Computational Mathematics.

ERIC Educational Resources Information Center

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

This report describes an undergraduate program designed to produce mathematicians who will know how to use and to apply computers. There is a core of 12 one-semester courses: five in mathematics, four in computational mathematics and three in computer science, leaving the senior year for electives. The content and spirit of these courses are…

Identifying Core Elements of Argument-Based Inquiry in Primary Mathematics Learning

ERIC Educational Resources Information Center

Fielding-Wells, Jill

2015-01-01

Having students address mathematical inquiry problems that are ill-structured and ambiguous offers potential for them to develop a focus on mathematical evidence and reasoning. However, students may not necessarily focus on these aspects when responding to such problems. Argument-Based Inquiry is one way to guide students in this direction. This…

Explorations in Elementary Mathematical Modeling

ERIC Educational Resources Information Center

Shahin, Mazen

2010-01-01

In this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra. We also integrate computer technology and…

Elements of Mathematics, Book O: Intuitive Background. Chapter 5, Mappings.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Investigating the Effects of a Math-Enhanced Agricultural Teaching Methods Course

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

Numerous calls have been made for agricultural education to support core academic subject matter including mathematics. Previous research has shown that the incorporation of mathematics content into a teaching methods course had a positive effect on preservice teachers' mathematics content knowledge. The purpose of this study was to investigate…

Elements of Mathematics, Book O: Intuitive Background. Chapter 2, The Integers.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core materials for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Computer Programming in the UK Undergraduate Mathematics Curriculum

ERIC Educational Resources Information Center

Sangwin, Christopher J.; O'Toole, Claire

2017-01-01

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…

SBML Level 3 package: Groups, Version 1 Release 1

PubMed Central

Hucka, Michael; Smith, Lucian P.

2017-01-01

Summary Biological models often contain components that have relationships with each other, or that modelers want to treat as belonging to groups with common characteristics or shared metadata. The SBML Level 3 Version 1 Core specification does not provide an explicit mechanism for expressing such relationships, but it does provide a mechanism for SBML packages to extend the Core specification and add additional syntactical constructs. The SBML Groups package for SBML Level 3 adds the necessary features to SBML to allow grouping of model components to be expressed. Such groups do not affect the mathematical interpretation of a model, but they do provide a way to add information that can be useful for modelers and software tools. The SBML Groups package enables a modeler to include definitions of groups and nested groups, each of which may be annotated to convey why that group was created, and what it represents. PMID:28187406

Literacy in Language and Mathematics: More in Common Than You Think

ERIC Educational Resources Information Center

Thompson, Denisse R.; Rubenstein, Rheta N.

2014-01-01

This paper shares perspectives on literacy in mathematics, particularly highlighting commonalities with literacy in language arts. We discuss levels of language development appropriate for the mathematics classroom, issues related to mathematical definitions, implied meanings in many mathematics concepts, and the importance of justification. We…

A Limit Theorem on the Cores of Large Standard Exchange Economies

PubMed Central

Brown, Donald J.; Robinson, Abraham

1972-01-01

This note introduces a new mathematical tool, nonstandard analysis, for the analysis of an important class of problems in mathematical economics—the relation between bargaining and the competitive price system. PMID:16591988

Mathematical Writing Errors in Expository Writings of College Mathematics Students

ERIC Educational Resources Information Center

Guce, Ivee K.

2017-01-01

Despite the efforts to confirm the effectiveness of writing in learning mathematics, analysis on common errors in mathematical writings has not received sufficient attention. This study aimed to provide an account of the students' procedural explanations in terms of their commonly committed errors in mathematical writing. Nine errors in…

Development of an Interactive Mathematics Learning System Based on a Two-Tier Test Diagnostic and Guiding Strategy

ERIC Educational Resources Information Center

Yang, Tzu-Chi; Fu, Hseng-Tz; Hwang, Gwo-Jen; Yang, Stephen J. H.

2017-01-01

Mathematical skills have been recognised as a core competence for engineering and science students. However, learning mathematics has been recognised as a difficult and challenging task for most students, in particular, calculus for first-year students in university. Consequently, the development of effective learning strategies and environments…

Estimating the Distance to the Moon--Its Relevance to Mathematics. Core-Plus Mathematics Project.

ERIC Educational Resources Information Center

Stern, David P.

This document features an activity for estimating the distance from the earth to the moon during a solar eclipse based on calculations performed by the ancient Greek astronomer Hipparchus. Historical, mathematical, and scientific details about the calculation are provided. Internet resources for teachers to obtain more information on the subject…

An Alignment Analysis of Washington State's College Readiness Mathematics Standards with Various Local Placement Tests

ERIC Educational Resources Information Center

Achieve, Inc., 2006

2006-01-01

For the past two years, Achieve, Inc. has worked with the Transition Mathematics Project (TMP), a collaborative project of K-12 schools, community and technical colleges, and baccalaureate institutions within the state of Washington, as it developed mathematics standards that "define the core knowledge and skills expected of students entering…

Elements of Mathematics, Book O: Intuitive Background. Chapter 14, Geometry: Similitudes, Coordinates, and Trigonometry.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Learning Support Policy for Mathematics in Irish Primary Schools: Equal Access but Unequal Needs

ERIC Educational Resources Information Center

Travers, Joseph

2010-01-01

This paper critiques learning-support policy for mathematics in Irish primary schools. The key policy question addressed is how equitable the development of the learning-support service has been in addressing low achievement in mathematics in designated schools compared to non-designated schools. The core argument developed is that there is a link…

Moving beyond Solving for "x": Teaching Abstract Algebra in a Liberal Arts Mathematics Course

ERIC Educational Resources Information Center

Cook, John Paul

2015-01-01

This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…

Reassessing the Economic Value of Advanced Level Mathematics

ERIC Educational Resources Information Center

Adkins, Michael; Noyes, Andrew

2016-01-01

In the late 1990s, the economic return to Advanced level (A-level) mathematics was examined. The analysis was based upon a series of log-linear models of earnings in the 1958 National Child Development Survey (NCDS) and the National Survey of 1980 Graduates and Diplomates. The core finding was that A-level mathematics had a unique earnings premium…

Mathematics. Unit 6: A Core Curriculum of Related Instruction for Apprentices.

ERIC Educational Resources Information Center

New York State Education Dept., Albany. Bureau of Occupational and Career Curriculum Development.

The mathematics unit is presented to assist apprentices to acquire a general knowledge of mathematic skills. The unit consists of nine modules: (1) basic addition, subtraction, multiplication, and division; (2) conventional linear measure; (3) using the metric system, (4) steps to take in solving problems, (5) how to calculate areas and volumes,…

IceChrono1: a probabilistic model to compute a common and optimal chronology for several ice cores

NASA Astrophysics Data System (ADS)

Parrenin, F.; Bazin, L.; Capron, E.; Landais, A.; Lemieux-Dudon, B.; Masson-Delmotte, V.

2015-05-01

Polar ice cores provide exceptional archives of past environmental conditions. The dating of ice cores and the estimation of the age-scale uncertainty are essential to interpret the climate and environmental records that they contain. It is, however, a complex problem which involves different methods. Here, we present IceChrono1, a new probabilistic model integrating various sources of chronological information to produce a common and optimized chronology for several ice cores, as well as its uncertainty. IceChrono1 is based on the inversion of three quantities: the surface accumulation rate, the lock-in depth (LID) of air bubbles and the thinning function. The chronological information integrated into the model are models of the sedimentation process (accumulation of snow, densification of snow into ice and air trapping, ice flow), ice- and air-dated horizons, ice and air depth intervals with known durations, depth observations (depth shift between synchronous events recorded in the ice and in the air) and finally air and ice stratigraphic links in between ice cores. The optimization is formulated as a least squares problem, implying that all densities of probabilities are assumed to be Gaussian. It is numerically solved using the Levenberg-Marquardt algorithm and a numerical evaluation of the model's Jacobian. IceChrono follows an approach similar to that of the Datice model which was recently used to produce the AICC2012 (Antarctic ice core chronology) for four Antarctic ice cores and one Greenland ice core. IceChrono1 provides improvements and simplifications with respect to Datice from the mathematical, numerical and programming point of views. The capabilities of IceChrono1 are demonstrated on a case study similar to the AICC2012 dating experiment. We find results similar to those of Datice, within a few centuries, which is a confirmation of both IceChrono1 and Datice codes. We also test new functionalities with respect to the original version of Datice: observations as ice intervals with known durations, correlated observations, observations as air intervals with known durations and observations as mixed ice-air stratigraphic links. IceChrono1 is freely available under the General Public License v3 open source license.

Professional Development Processes That Promote Teacher Change: The Case of a Video-Based Program Focused on Leveraging Students' Mathematical Errors

ERIC Educational Resources Information Center

Santagata, Rossella; Bray, Wendy

2016-01-01

This study examined processes at the core of teacher professional development (PD) experiences that might positively impact teacher learning and more specifically teacher change. Four processes were considered in the context of a PD program focused on student mathematical errors: analysis of students' mathematical misconceptions as a lever for…

More Lessons Learned from Research, Volume 1: Useful and Usable Research Related to Core Mathematical Practices

ERIC Educational Resources Information Center

Silver, Edward A., Ed.; Kenney, Patricia Ann, Ed.

2015-01-01

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

A Case Study Using CRA to Teach Students with Disabilities to Count Using Flexible Numbers: Applying Skip Counting to Multiplication

ERIC Educational Resources Information Center

Gibbs, Anna S.; Hinton, Vanessa M.; Flores, Margaret M.

2018-01-01

Children who struggle in mathematics have a limited understanding of the foundational processes of mathematics. A lack of conceptual understanding causes students to fall behind as they progress through the core curriculum. Children at high risk for developing mathematics disabilities fail to gain numeracy knowledge. The purpose of this case study…

Basic math in monkeys and college students.

PubMed

Cantlon, Jessica F; Brannon, Elizabeth M

2007-12-01

Adult humans possess a sophisticated repertoire of mathematical faculties. Many of these capacities are rooted in symbolic language and are therefore unlikely to be shared with nonhuman animals. However, a subset of these skills is shared with other animals, and this set is considered a cognitive vestige of our common evolutionary history. Current evidence indicates that humans and nonhuman animals share a core set of abilities for representing and comparing approximate numerosities nonverbally; however, it remains unclear whether nonhuman animals can perform approximate mental arithmetic. Here we show that monkeys can mentally add the numerical values of two sets of objects and choose a visual array that roughly corresponds to the arithmetic sum of these two sets. Furthermore, monkeys' performance during these calculations adheres to the same pattern as humans tested on the same nonverbal addition task. Our data demonstrate that nonverbal arithmetic is not unique to humans but is instead part of an evolutionarily primitive system for mathematical thinking shared by monkeys.

The development and interaction of terrorist and fanatic groups

NASA Astrophysics Data System (ADS)

Camacho, Erika T.

2013-11-01

Through the mathematical study of two models we quantify some of the theories of co-development and co-existence of focused groups in the social sciences. This work attempts to develop the mathematical framework behind the social sciences of community formation. By using well developed theories and concepts from ecology and epidemiology we hope to extend the theoretical framework of organizing and self-organizing social groups and communities, including terrorist groups. The main goal of our work is to gain insight into the role of recruitment and retention in the formation and survival of social organizations. Understanding the underlining mechanisms of the spread of ideologies under competition is a fundamental component of this work. Here contacts between core and non-core individuals extend beyond its physical meaning to include indirect interaction and spread of ideas through phone conversations, emails, media sources and other similar mean. This work focuses on the dynamics of formation of interest groups, either ideological, economical or ecological and thus we explore the questions such as, how do interest groups initiate and co-develop by interacting within a common environment and how do they sustain themselves? Our results show that building and maintaining the core group is essential for the existence and survival of an extreme ideology. Our research also indicates that in the absence of competitive ability (i.e., ability to take from the other core group or share prospective members) the social organization or group that is more committed to its group ideology and manages to strike the right balance between investment in recruitment and retention will prevail. Thus under no cross interaction between two social groups a single trade-off (of these efforts) can support only a single organization. The more efforts that an organization implements to recruit and retain its members the more effective it will be in transmitting the ideology to other vulnerable individuals and thus converting them to believers.

Developing CORE model-based worksheet with recitation task to facilitate students’ mathematical communication skills in linear algebra course

NASA Astrophysics Data System (ADS)

Risnawati; Khairinnisa, S.; Darwis, A. H.

2018-01-01

The purpose of this study was to develop a CORE model-based worksheet with recitation task that were valid and practical and could facilitate students’ communication skills in Linear Algebra course. This study was conducted in mathematics education department of one public university in Riau, Indonesia. Participants of the study were media and subject matter experts as validators as well as students from mathematics education department. The objects of this study are students’ worksheet and students’ mathematical communication skills. The results of study showed that: (1) based on validation of the experts, the developed students’ worksheet was valid and could be applied for students in Linear Algebra courses; (2) based on the group trial, the practicality percentage was 92.14% in small group and 90.19% in large group, so the worksheet was very practical and could attract students to learn; and (3) based on the post test, the average percentage of ideals was 87.83%. In addition, the results showed that the students’ worksheet was able to facilitate students’ mathematical communication skills in linear algebra course.

Core subjects at the end of primary school: identifying and explaining relative strengths of children with specific language impairment (SLI).

PubMed

Durkin, Kevin; Mok, Pearl L H; Conti-Ramsden, Gina

2015-01-01

In general, children with specific language impairment (SLI) tend to fall behind their typically developing (TD) peers in educational attainment. Less is known about how children with SLI fare in particular areas of the curriculum and what predicts their levels of performance. To compare the distributions of performance of children with SLI in three core school subjects (English, Mathematics and Science); to test the possibility that performance would vary across the core subjects; and to examine the extent to which language impairment predicts performance. This study was conducted in England and reports historical data on educational attainments. Teacher assessment and test scores of 176 eleven-year-old children with SLI were examined in the three core subjects and compared with known national norms. Possible predictors of performance were measured, including language ability at ages 7 and 11, educational placement type, and performance IQ. Children with SLI, compared with national norms, were found to be at a disadvantage in core school subjects. Nevertheless, some children attained the levels expected of TD peers. Performance was poorest in English; relative strengths were indicated in Science and, to a lesser extent, in Mathematics. Language skills were significant predictors of performance in all three core subjects. PIQ was the strongest predictor for Mathematics. For Science, both early language skills at 7 years and PIQ made significant contributions. Language impacts on the school performance of children with SLI, but differentially across subjects. English for these children is the most challenging of the core subjects, reflecting the high levels of language demand it incurs. Science is an area of relative strength and mathematics appears to be intermediate, arguably because some tasks in these subjects can be performed with less reliance on verbal processing. Many children with SLI do have the potential to reach or exceed educational targets that are set at national levels for TD children. © 2014 The Authors International Journal of Language & Communication Disorders published by John Wiley & Sons Ltd on behalf of Royal College of Speech and Language Therapists.

How Inge Lehmann Discovered the Inner Core of the Earth

ERIC Educational Resources Information Center

Rousseau, Christiane

2013-01-01

The mathematics behind Inge Lehmann's discovery that the inner core of the Earth is solid is explained using data collected around the Earth on seismic waves and their travel time through the Earth.

Mathematical Modeling Of A Nuclear/Thermionic Power Source

NASA Technical Reports Server (NTRS)

Vandersande, Jan W.; Ewell, Richard C.

1992-01-01

Report discusses mathematical modeling to predict performance and lifetime of spacecraft power source that is integrated combination of nuclear-fission reactor and thermionic converters. Details of nuclear reaction, thermal conditions in core, and thermionic performance combined with model of swelling of fuel.

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…

The Effect of Peer-Assessment on the Attitudes of Pre-Service Elementary and Middle School Teachers about Writing and Assessing Mathematics

ERIC Educational Resources Information Center

Beaver, Cheryl; Beaver, Scott

2011-01-01

Through a study conducted in a core Foundations of Mathematics course at Western Oregon University, the authors investigate the thesis that peer-grading helps future elementary and middle school teachers improve their own attitudes about writing and assessing mathematics. Study participants were asked to provide scale responses to a series of…

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…

IceChrono1: a probabilistic model to compute a common and optimal chronology for several ice cores

NASA Astrophysics Data System (ADS)

Parrenin, Frédéric; Bazin, Lucie; Capron, Emilie; Landais, Amaëlle; Lemieux-Dudon, Bénédicte; Masson-Delmotte, Valérie

2016-04-01

Polar ice cores provide exceptional archives of past environmental conditions. The dating of ice cores and the estimation of the age scale uncertainty are essential to interpret the climate and environmental records that they contain. It is however a complex problem which involves different methods. Here, we present IceChrono1, a new probabilistic model integrating various sources of chronological information to produce a common and optimized chronology for several ice cores, as well as its uncertainty. IceChrono1 is based on the inversion of three quantities: the surface accumulation rate, the Lock-In Depth (LID) of air bubbles and the thinning function. The chronological information integrated into the model are: models of the sedimentation process (accumulation of snow, densification of snow into ice and air trapping, ice flow), ice and air dated horizons, ice and air depth intervals with known durations, Δdepth observations (depth shift between synchronous events recorded in the ice and in the air) and finally air and ice stratigraphic links in between ice cores. The optimization is formulated as a least squares problem, implying that all densities of probabilities are assumed to be Gaussian. It is numerically solved using the Levenberg-Marquardt algorithm and a numerical evaluation of the model's Jacobian. IceChrono follows an approach similar to that of the Datice model which was recently used to produce the AICC2012 chronology for 4 Antarctic ice cores and 1 Greenland ice core. IceChrono1 provides improvements and simplifications with respect to Datice from the mathematical, numerical and programming point of views. The capabilities of IceChrono is demonstrated on a case study similar to the AICC2012 dating experiment. We find results similar to those of Datice, within a few centuries, which is a confirmation of both IceChrono and Datice codes. We also test new functionalities with respect to the original version of Datice: observations as ice intervals with known durations, correlated observations, observations as gas intervals with known durations and observations as mixed ice-air stratigraphic links. IceChrono1 is freely available under the GPL v3 open source license.

Mathematics. Ohio's Competency Analysis Profile.

ERIC Educational Resources Information Center

Ohio State Univ., Columbus. Vocational Instructional Materials Lab.

This competency analysis profile contains eight lists of mathematics skills that have been identified by employers and verified by math-certified instructors as being core competencies for eight groups of occupational areas. Each list is organized into subsections dealing with the following: numbers and number relations, measurement, data analysis…

E-Assessment within the Bologna Paradigm: Evidence from Portugal

ERIC Educational Resources Information Center

Ferrao, Maria

2010-01-01

The Bologna Declaration brought reforms into higher education that imply changes in teaching methods, didactic materials and textbooks, infrastructures and laboratories, etc. Statistics and mathematics are disciplines that traditionally have the worst success rates, particularly in non-mathematics core curricula courses. This research project,…

Theorizing the Nexus of STEAM Practice

ERIC Educational Resources Information Center

Peppler, Kylie; Wohlwend, Karen

2018-01-01

Recent advances in arts education policy, as outlined in the latest National Core Arts Standards, advocate for bringing digital media into the arts education classroom. The promise of such Science, Technology, Engineering, Arts, and Mathematics (STEAM)-based approaches is that, by coupling Science, Technology, Engineering, and Mathematics (STEM)…

Modules as Learning Tools in Linear Algebra

ERIC Educational Resources Information Center

Cooley, Laurel; Vidakovic, Draga; Martin, William O.; Dexter, Scott; Suzuki, Jeff; Loch, Sergio

2014-01-01

This paper reports on the experience of STEM and mathematics faculty at four different institutions working collaboratively to integrate learning theory with curriculum development in a core undergraduate linear algebra context. The faculty formed a Professional Learning Community (PLC) with a focus on learning theories in mathematics and…

Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course

NASA Astrophysics Data System (ADS)

Ernest, Jessica Brooke

It is a general assumption that the mathematical activity of students in school should, at least to some degree, parallel the practices of professional mathematicians (Brown, Collins, Duguid, 1989; Moschkovich, 2013). This assumption is reflected in the Common Core State Standards (CCSSI, 2010) and National Council of Teachers of Mathematics (NCTM, 2000) standards documents. However, the practices included in these standards documents, while developed to reflect the practices of professional mathematicians, may be idealized versions of what mathematicians actually do (Moschkovich, 2013). This might lead us to question then: "What is it that mathematicians do, and what practices are not being represented in the standards documents?" In general, the creative work of mathematicians is absent from the standards and, in turn, from school mathematics curricula, much to the dismay of some mathematicians and researchers (Lockhart, 2009; Rogers, 1999). As a result, creativity is not typically being fostered in mathematics students. As a response to this lack of focus on fostering creativity (in each of the science, technology, engineering, and mathematics disciplines--the STEM disciplines), a movement to integrate the arts emerged. This movement, called the STEAM movement--introducing the letter A into the acronym STEM to signify incorporating the arts--has been gaining momentum, yet limited research has been carried out on the efficacy of integrating the arts into mathematics courses. My experiences as the co-instructor for an activity-based course focused on projective geometry led me to consider the course as a setting for investigating both mathematical practices and arts integration. In this work, I explored the mathematical practices in which students engaged while working to develop an understanding of projective geometry through group activities. Furthermore, I explored the way in which students' learning experiences were enriched through artistic engagement in the course. I discuss mathematical play and acts of imagination--two mathematical practices in which students engaged, and which emerged from a grounded theory approach to analysis of the classroom data. In addition, I discuss particular ways in which artistic engagement, including creating two mathematically inspired artistic pieces, enriched students' learning experiences in the course. The six themes I address are artistic engagement (a) fostering mathematical play, (b) giving students the opportunity to make sense of pop-up topics, (c) providing students with the opportunity to develop coordination of mathematical tools, (d) allowing students to weave their personal experiences with mathematics, (e) contributing to students' notions of the connections between mathematics and art, and (f) changing students' relationships with art.

Reference breast temperature: proposal of an equation.

PubMed

Souza, Gladis Aparecida Galindo Reisemberger de; Brioschi, Marcos Leal; Vargas, José Viriato Coelho; Morais, Keli Cristiane Correia; Dalmaso Neto, Carlos; Neves, Eduardo Borba

2015-01-01

To develop an equation to estimate the breast reference temperature according to the variation of room and core body temperatures. Four asymptomatic women were evaluated for three consecutive menstrual cycles. Using thermography, the temperature of breasts and eyes was measured as indirect reference of core body and room temperatures. To analyze the thermal behavior of the breasts during the cycle, the core body and room temperatures were normalized by means of a mathematical equation. We performed 180 observations and the core temperature had the highest correlation with the breast temperature, followed by room temperature. The proposed prediction model could explain 45.3% of the breast temperature variation, with variable room temperature variable; it can be accepted as a way to estimate the reference breast temperature at different room temperatures. The average breast temperature in healthy women had a direct relation with the core and room temperature and can be estimated mathematically. It is suggested that an equation could be used in clinical practice to estimate the normal breast reference temperature in young women, regardless of the day of the cycle, therefore assisting in evaluation of anatomical studies.

Mathematical modelling of powder material motion and transportation in high-temperature flow core during plasma coatings application

NASA Astrophysics Data System (ADS)

Bogdanovich, V. I.; Giorbelidze, M. G.

2018-03-01

A problem of mathematical modelling of powder material motion and transportation in gas thermal flow core has been addressed. Undertaken studies indicate significant impact on dynamics of motion of sprayed particles of phenomenological law for drag coefficient and accounting momentum loss of a plasma jet upon acceleration of these particles and their diameter. It is determined that at great dispersion of spraying particles, they reach detail surface at different velocity and significant particles separation takes place at spraying spot. According to the results of mathematical modelling, requirements for admissible dispersion of diameters of particles used for spraying have been formulated. Research has also allowed reducing separation of particles at the spraying spot due to the selection of the method of powder feed to the anode channel of the plasma torch.

A Critique of "The Common Core Is a Change for the Better"

ERIC Educational Resources Information Center

Wolfe, Adam

2015-01-01

In their article, "The Common Core is a Change for the Better," Gardner and Powell (2013) make an argument in support of implementing the Common Core to improve teaching and student learning. They opine the Common Core will enable students to become more college and career ready and state the Common Core standards will provide…

Automated Extraction of Secondary Flow Features

NASA Technical Reports Server (NTRS)

Dorney, Suzanne M.; Haimes, Robert

2005-01-01

The use of Computational Fluid Dynamics (CFD) has become standard practice in the design and development of the major components used for air and space propulsion. To aid in the post-processing and analysis phase of CFD many researchers now use automated feature extraction utilities. These tools can be used to detect the existence of such features as shocks, vortex cores and separation and re-attachment lines. The existence of secondary flow is another feature of significant importance to CFD engineers. Although the concept of secondary flow is relatively understood there is no commonly accepted mathematical definition for secondary flow. This paper will present a definition for secondary flow and one approach for automatically detecting and visualizing secondary flow.

Adaptive control method for core power control in TRIGA Mark II reactor

NASA Astrophysics Data System (ADS)

Sabri Minhat, Mohd; Selamat, Hazlina; Subha, Nurul Adilla Mohd

2018-01-01

The 1MWth Reactor TRIGA PUSPATI (RTP) Mark II type has undergone more than 35 years of operation. The existing core power control uses feedback control algorithm (FCA). It is challenging to keep the core power stable at the desired value within acceptable error bands to meet the safety demand of RTP due to the sensitivity of nuclear research reactor operation. Currently, the system is not satisfied with power tracking performance and can be improved. Therefore, a new design core power control is very important to improve the current performance in tracking and regulate reactor power by control the movement of control rods. In this paper, the adaptive controller and focus on Model Reference Adaptive Control (MRAC) and Self-Tuning Control (STC) were applied to the control of the core power. The model for core power control was based on mathematical models of the reactor core, adaptive controller model, and control rods selection programming. The mathematical models of the reactor core were based on point kinetics model, thermal hydraulic models, and reactivity models. The adaptive control model was presented using Lyapunov method to ensure stable close loop system and STC Generalised Minimum Variance (GMV) Controller was not necessary to know the exact plant transfer function in designing the core power control. The performance between proposed adaptive control and FCA will be compared via computer simulation and analysed the simulation results manifest the effectiveness and the good performance of the proposed control method for core power control.

The Lessons of Williamstown.

ERIC Educational Resources Information Center

Maurer, Stephen B.

In July 1982, a conference was held at Williams College in Williamstown, Massachusetts, to discuss the need for more discrete mathematics in the first two years of the core undergraduate mathematics curriculum. This paper reviews the recommendations that were made during the conference, the progress that has been made in the implementation of…

Everyday Mathematics. Revised. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2007

2007-01-01

"Everyday Mathematics," published by Wright Group/McGraw-Hill, is a core curriculum for students in kindergarten through grade 6 covering numeration and order, operations, functions and sequences, data and chance, algebra, geometry and spatial sense, measures and measurement, reference frames, and patterns. At each grade level, the…

Everyday Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2006

2006-01-01

"Everyday Mathematics," published by Wright Group/McGraw-Hill, is a core curriculum for students in kindergarten through grade 6 covering numeration and order, operations, functions and sequences, data and chance, algebra, geometry and spatial sense, measures and measurement, reference frames, and patterns. At each grade level, the "Everyday…

Core Conversations with Educative Dragging

ERIC Educational Resources Information Center

Wanko, Jeffrey J.; Edwards, Michael Todd; Phelps, Steve

2012-01-01

The Sliding along a Side task was presented at a National Council of Teachers of Mathematics (NCTM) conference session for high school teachers. According to the authors, while exploring this task with this group of experienced mathematics educators and classroom teachers, they shared a "gasp!" moment. With the aid of the dynamic mathematics…

Positioning in Mathematics Education: Revelations on an Imported Theory

ERIC Educational Resources Information Center

Herbel-Eisenmann, Beth A.; Wagner, David; Johnson, Kate R.; Suh, Heejoo; Figueras, Hanna

2015-01-01

We develop theory within the field of mathematics education based on analysis of an imported theory--positioning theory--and the way it is used in the field. After summarizing positioning theory, we identify some conceptual fuzziness, particularly in core terms "positioning" and "storyline." We offer Lemke's idea of timescales…

Assessing Mathematics Automatically Using Computer Algebra and the Internet

ERIC Educational Resources Information Center

Sangwin, Chris

2004-01-01

This paper reports some recent developments in mathematical computer-aided assessment which employs computer algebra to evaluate students' work using the Internet. Technical and educational issues raised by this use of computer algebra are addressed. Working examples from core calculus and algebra which have been used with first year university…

The Implementation of APIQ Creative Mathematics Game Method in the Subject Matter of Greatest Common Factor and Least Common Multiple in Elementary School

NASA Astrophysics Data System (ADS)

Rahman, Abdul; Saleh Ahmar, Ansari; Arifin, A. Nurani M.; Upu, Hamzah; Mulbar, Usman; Alimuddin; Arsyad, Nurdin; Ruslan; Rusli; Djadir; Sutamrin; Hamda; Minggi, Ilham; Awi; Zaki, Ahmad; Ahmad, Asdar; Ihsan, Hisyam

2018-01-01

One of causal factors for uninterested feeling of the students in learning mathematics is a monotonous learning method, like in traditional learning method. One of the ways for motivating students to learn mathematics is by implementing APIQ (Aritmetika Plus Intelegensi Quantum) creative mathematics game method. The purposes of this research are (1) to describe students’ responses toward the implementation of APIQ creative mathematics game method on the subject matter of Greatest Common Factor (GCF) and Least Common Multiple (LCM) and (2) to find out whether by implementing this method, the student’s learning completeness will improve or not. Based on the results of this research, it is shown that the responses of the students toward the implementation of APIQ creative mathematics game method in the subject matters of GCF and LCM were good. It is seen in the percentage of the responses were between 76-100%. (2) The implementation of APIQ creative mathematics game method on the subject matters of GCF and LCM improved the students’ learning.

Time Spent Teaching Core Academic Subjects in Elementary Schools. Comparisons across Community, School, Teacher, and Student Characteristics. Statistical Analysis Report.

ERIC Educational Resources Information Center

Perie, Marianne; And Others

The proportion of time that elementary school teachers use to teach core academic subjects (English/reading/language arts, mathematics, social studies, science) is an important aspect of instruction. Spending a large proportion of time teaching core curriculum subjects may be important not only in terms of school quality, but also in terms of…

Human Services. Georgia Core Standards for Occupational Clusters.

ERIC Educational Resources Information Center

Georgia Univ., Athens. Dept. of Occupational Studies.

This document lists core standards and occupational knowledge and skills that have been identified and validated by industry as necessary to all Georgia students in secondary-level human services occupations programs. First, foundation skills are grouped as follows: basic skills (reading, writing, arithmetic/mathematics, listening, speaking);…

Technical/Engineering. Georgia Core Standards for Occupational Clusters.

ERIC Educational Resources Information Center

Georgia Univ., Athens. Dept. of Occupational Studies.

This document lists core standards and occupational knowledge and skills that have been identified and validated by industry as necessary to all Georgia students in secondary-level technical/engineering programs. First, foundation skills are grouped as follows: basic skills (reading, writing, arithmetic/mathematics, listening, speaking); thinking…

Health Care. Georgia Core Standards for Occupational Clusters.

ERIC Educational Resources Information Center

Georgia Univ., Athens. Dept. of Occupational Studies.

This document lists core standards and occupational knowledge and skills that have been identified/validated by industry as necessary to all Georgia students in secondary-level health care occupations programs. First, foundation skills are grouped as follows: basic skills (reading, writing, arithmetic/mathematics, listening, speaking); thinking…

Computational Thinking Concepts for Grade School

ERIC Educational Resources Information Center

Sanford, John F.; Naidu, Jaideep T.

2016-01-01

Early education has classically introduced reading, writing, and mathematics. Recent literature discusses the importance of adding "computational thinking" as a core ability that every child must learn. The goal is to develop students by making them equally comfortable with computational thinking as they are with other core areas of…

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…

Beyond the Core: Peer Observation Brings Common Core to Vocational and Electives Classes

ERIC Educational Resources Information Center

Thurber Rasmussen, Harriette

2014-01-01

This article describes how a Washington State School District increased professional learning around the Common Core State Standards. The challenge was how to establish a way for career and technical education and electives teachers to learn and apply Common Core in their classes. Weaving Common Core literacy standards into vocational and…

Shifting Preservice Teachers' Beliefs and Understandings to Support Pedagogical Change in Mathematics

ERIC Educational Resources Information Center

Letwinsky, Karim Medico; Cavender, Monica

2018-01-01

Many preservice teacher (PST) programs throughout the world are preparing students to implement the Core Standards, which require deeper conceptual understandings of mathematics and an informed approach for teaching. In this qualitative multi-case study, researchers explored the teaching methods for two university instructors and changes in PSTs…

Assessing Impacts of "Math in Focus," a "Singapore Math" Program

ERIC Educational Resources Information Center

Jaciw, Andrew P.; Hegseth, Whitney Michelle; Lin, Li; Toby, Megan; Newman, Denis; Ma, Boya; Zacamy, Jenna

2016-01-01

This study investigates, through a cluster randomized trial, the impact of "Math in Focus," a core mathematics program modeled after instructional approaches used in Singapore, on third- through fifth-grade students' achievement in mathematics. The program is currently being used in more than 400 school districts in the United States.…

Young children's core symbolic and nonsymbolic quantitative knowledge in the prediction of later mathematics achievement.

PubMed

Geary, David C; vanMarle, Kristy

2016-12-01

At the beginning of preschool (M = 46 months of age), 197 (94 boys) children were administered tasks that assessed a suite of nonsymbolic and symbolic quantitative competencies as well as their executive functions, verbal and nonverbal intelligence, preliteracy skills, and their parents' education level. The children's mathematics achievement was assessed at the end of preschool (M = 64 months). We used a series of Bayesian and standard regression analyses to winnow this broad set of competencies down to the core subset of quantitative skills that predict later mathematics achievement, controlling other factors. This knowledge included children's fluency in reciting the counting string, their understanding of the cardinal value of number words, and recognition of Arabic numerals, as well as their sensitivity to the relative quantity of 2 collections of objects. The results inform theoretical models of the foundations of children's early quantitative development and have practical implications for the design of early interventions for children at risk for poor long-term mathematics achievement. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

Environmental and Agricultural Sciences. Georgia Core Standards for Occupational Clusters.

ERIC Educational Resources Information Center

Georgia Univ., Athens. Dept. of Occupational Studies.

This document lists core standards and occupational knowledge amd skills that have been identified/validated by industry as necessary to all Georgia students in secondary-level environmental and agricultural sciences programs. First, foundation skills are grouped as follows: basic skills (reading, writing, arithmetic/mathematics, listening,…

Business, Marketing, and Information Management. Georgia Core Standards for Occupational Clusters.

ERIC Educational Resources Information Center

Georgia Univ., Athens. Dept. of Occupational Studies.

This document lists core standards and occupational knowledge and skills that have been identified and validated by industry as necessary to all Georgia students in business, marketing, and information management programs. First, foundation skills are grouped as follows: basic skills (reading, writing, arithmetic/mathematics, listening, speaking);…

Core-Course Faculty Development Series on Methodology.

ERIC Educational Resources Information Center

Alewynse, John

This report describes a three-year project at Hampton University (Virginia) to improve the core freshman year curriculum and, ultimately, to improve student learning outcomes. The project involved the development of annual week-long seminars on the teaching of freshman courses in composition, speech, history, and mathematics. Emphasis was on…

Teaching Linear Algebra: Must the Fog Always Roll In?

ERIC Educational Resources Information Center

Carlson, David

1993-01-01

Proposes methods to teach the more difficult concepts of linear algebra. Examines features of the Linear Algebra Curriculum Study Group Core Syllabus, and presents problems from the core syllabus that utilize the mathematical process skills of making conjectures, proving the results, and communicating the results to colleagues. Presents five…

Fingertip Facts 2011-12

ERIC Educational Resources Information Center

Utah State Office of Education, 2011

2011-01-01

This paper offers facts and figures on Utah's education status for the school year 2011-2012. This paper contains the following: (1) Core CRT Language Arts Testing, 2011; (2) Core CRT Mathematics Testing, 2011; (3) 2011 Public Education General Fund--Funding by Source and Expenditures by Function; (4) 2010-11 Public School Enrollment Demographics;…

Public Education: Fingertip Facts 2007

ERIC Educational Resources Information Center

Harrington, Patti

2007-01-01

This paper offers facts and figures on Utah's state of education for 2007. This paper contains the following: (1) Core CRT Language Arts Testing; (2) Core CRT Mathematics Testing; (3) 2006 Public Education General Fund--Funding by Source and Expenditures by Function; (4) 2006-07 Public School Enrollment Demographics; (5) Public Schools by Grade…

Public Education: Fingertip Facts 2008

ERIC Educational Resources Information Center

Harrington, Patti

2008-01-01

This paper offers facts and figures on Utah's education status for 2008. This paper contains the following: (1) Core CRT Language Arts Testing, 2007; (2) Core CRT Mathematics Testing, 2007; (3) 2007 Public Education General Fund--Funding by Source and Expenditures by Function; (4) 2007-08 Public School Enrollment Demographics; (5) Public Schools…

Public Education: Fingertip Facts 2009

ERIC Educational Resources Information Center

Harrington, Patti

2009-01-01

This paper offers facts and figures on Utah's education status for 2009. This paper contains the following: (1) Core CRT Language Arts Testing, 2008; (2) Core CRT Mathematics Testing, 2008; (3) 2008 Public Education General Fund--Funding by Source and Expenditures by Function; (4) 2008-09 Public School Enrollment Demographics; (5) Public Schools…

Fingertip Facts 2010

ERIC Educational Resources Information Center

Shumway, Larry K.

2010-01-01

This paper offers facts and figures on Utah's education status for 2010. This paper contains the following: (1) Core CRT Language Arts Testing, 2009; (2) Core CRT Mathematics Testing, 2009; (3) 2009 Public Education General Fund--Funding by Source and Expenditures by Function; (4) 2009-10 Public School Enrollment Demographics; (5) Public Schools…

Solving Common Mathematical Problems

NASA Technical Reports Server (NTRS)

Luz, Paul L.

2005-01-01

Mathematical Solutions Toolset is a collection of five software programs that rapidly solve some common mathematical problems. The programs consist of a set of Microsoft Excel worksheets. The programs provide for entry of input data and display of output data in a user-friendly, menu-driven format, and for automatic execution once the input data has been entered.

Reference breast temperature: proposal of an equation

PubMed Central

de Souza, Gladis Aparecida Galindo Reisemberger; Brioschi, Marcos Leal; Vargas, José Viriato Coelho; Morais, Keli Cristiane Correia; Dalmaso, Carlos; Neves, Eduardo Borba

2015-01-01

ABSTRACT Objective To develop an equation to estimate the breast reference temperature according to the variation of room and core body temperatures. Methods Four asymptomatic women were evaluated for three consecutive menstrual cycles. Using thermography, the temperature of breasts and eyes was measured as indirect reference of core body and room temperatures. To analyze the thermal behavior of the breasts during the cycle, the core body and room temperatures were normalized by means of a mathematical equation. Results We performed 180 observations and the core temperature had the highest correlation with the breast temperature, followed by room temperature. The proposed prediction model could explain 45.3% of the breast temperature variation, with variable room temperature variable; it can be accepted as a way to estimate the reference breast temperature at different room temperatures. Conclusion The average breast temperature in healthy women had a direct relation with the core and room temperature and can be estimated mathematically. It is suggested that an equation could be used in clinical practice to estimate the normal breast reference temperature in young women, regardless of the day of the cycle, therefore assisting in evaluation of anatomical studies. PMID:26761549

Common Core Implementation Decisions Made by Principals in Elementary Schools

ERIC Educational Resources Information Center

Norman, Alexis Cienfuegos

2016-01-01

The purpose of this study was to understand the decisions elementary principals have made during the Common Core State Standards reform. Specifically, (a) what decisions principals have made to support Common Core implementation, (b) what strategies elementary principals have employed to communicate with stakeholders about Common Core State…

Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities

PubMed Central

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

2016-01-01

One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted reading and mathematics achievement at the end of kindergarten. Preliteracy skills were more strongly related to word reading, whereas sensitivity to relative quantity was more strongly related to mathematics achievement. The overall results indicate that a combination of domain-general and domain-specific abilities contribute to development of children's early mathematics and reading achievement. PMID:27252675

Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities.

PubMed

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

2016-01-01

One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted reading and mathematics achievement at the end of kindergarten. Preliteracy skills were more strongly related to word reading, whereas sensitivity to relative quantity was more strongly related to mathematics achievement. The overall results indicate that a combination of domain-general and domain-specific abilities contribute to development of children's early mathematics and reading achievement.

Two Large-Scale Professional Development Programs for Mathematics Teachers and Their Impact on Student Achievement

ERIC Educational Resources Information Center

Lindvall, Jannika

2017-01-01

This article reports on two professional development programs for mathematics teachers and their effects on student achievement. The projects' design and their implementation within a larger municipality in Sweden, working together with over 90 teachers and 5000 students in elementary school, are described by using a set of core critical features…

Student Strategies Suggesting Emergence of Mental Structures Supporting Logical and Abstract Thinking: Multiplicative Reasoning

ERIC Educational Resources Information Center

Carrier, Jim

2014-01-01

For many students, developing mathematical reasoning can prove to be challenging. Such difficulty may be explained by a deficit in the core understanding of many arithmetical concepts taught in early school years. Multiplicative reasoning is one such concept that produces an essential foundation upon which higher-level mathematical thinking skills…

eWorkbooks for Mathematics: Mapping the Independent Learning Experiences of Elementary Students with Learning Disabilities

ERIC Educational Resources Information Center

Kaczorowski, Tara; Raimondi, Sharon

2014-01-01

In this paper, we describe a small case study exploring how four elementary students with mathematics learning disabilities utilized mobile technology (the eWorkbook) during core math instruction in a general education setting. The lead author designed the eWorkbook intervention to provide a flexible learning experience optimized for diverse…

Young Children's Core Symbolic and Nonsymbolic Quantitative Knowledge in the Prediction of Later Mathematics Achievement

ERIC Educational Resources Information Center

Geary, David C.; vanMarle, Kristy

2016-01-01

At the beginning of preschool (M = 46 months of age), 197 (94 boys) children were administered tasks that assessed a suite of nonsymbolic and symbolic quantitative competencies as well as their executive functions, verbal and nonverbal intelligence, preliteracy skills, and their parents' education level. The children's mathematics achievement was…

Determination of the Core Curriculum for the Liberal Arts Mathematics Course at Saddleback College.

ERIC Educational Resources Information Center

Sworder, Steve

A study was conducted to assess faculty and student preferences regarding the goals and content of Saddleback College's (California) liberal arts mathematics course. Following a review of the literature, an extensive list of course goals, content areas, and prior student preparation needs was formed into a questionnaire, which was administered to…

The Influence of Cognitive Abilities on Mathematical Problem Solving Performance

ERIC Educational Resources Information Center

Bahar, Abdulkadir

2013-01-01

Problem solving has been a core theme in education for several decades. Educators and policy makers agree on the importance of the role of problem solving skills for school and real life success. A primary purpose of this study was to investigate the influence of cognitive abilities on mathematical problem solving performance of students. The…

What Do Croatian Pre-Service Teachers Remember from Their Calculus Course?

ERIC Educational Resources Information Center

Jukic, Ljerka; Brückler, Franka Miriam

2014-01-01

This paper reports a study on retention of core concepts in differential and integral calculus by examining the knowledge of two pre-service mathematics students. The study is conducted using a mixed method approach and the obtained data were analyzed using theory of three worlds of mathematics. The results showed that having good understanding of…

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…

The Special Education Core Curriculum Manual, Basic Level. Learning Skills, Oral Language, Reading, Mathematics.

ERIC Educational Resources Information Center

Margolis, Leonard

The manual is designed to serve as a guideline for teachers and child study teams who have the primary responsibility for the education of handicapped children in four areas--learning skills, oral language, reading, and mathematics. Sections for each of the above areas are subdivided into the following objectives and activities: gross motor…

Recommendations for the Undergraduate Mathematics Program for Students in the Life Sciences. An Interim Report.

ERIC Educational Resources Information Center

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

This report considers the mathematics required by life science students (those with majors in agriculture and renewable resources, all branches of biology, and medicine) who have successfully completed the usual pre-calculus courses. A core is proposed, to include one year of calculus, some linear algebra, and some probability and statistics.…

Team Teaching and Cooperative Groups in Abstract Algebra: Nurturing a New Generation of Confident Mathematics Teachers

ERIC Educational Resources Information Center

Grassl, R.; Mingus, T. T. Y.

2007-01-01

Experiences in designing and teaching a reformed abstract algebra course are described. This effort was partially a result of a five year statewide National Science Foundation (NSF) grant entitled the Rocky Mountain Teacher Enhancement Collaborative. The major thrust of this grant was to implement reform in core mathematics courses that would…

Justification as a Teaching and Learning Practice: Its (Potential) Multifacted Role in Middle Grades Mathematics Classrooms

ERIC Educational Resources Information Center

Staples, Megan E.; Bartlo, Joanna; Thanheiser, Eva

2012-01-01

Justification is a core mathematics practice. Although the purposes of justification in the mathematician community have been studied extensively, we know relatively little about its role in K-12 classrooms. This paper documents the range of purposes identified by 12 middle grades teachers who were working actively to incorporate justification…

Experiences Situating Mathematical Problem Solving at the Core of Early Childhood Classrooms

ERIC Educational Resources Information Center

Lopes, Celi Espasandin; Grando, Regina Célia; D'Ambrosio, Beatriz Silva

2017-01-01

Our goal in this article is to discuss the importance of problems in early childhood education for the child's development and engagement with the mathematics existing in childhood culture. Our assumption is that an important task for young children's education is to create a democratic and critical environment, in which multiplicity of…

The systems biology simulation core algorithm

PubMed Central

2013-01-01

Background With the increasing availability of high dimensional time course data for metabolites, genes, and fluxes, the mathematical description of dynamical systems has become an essential aspect of research in systems biology. Models are often encoded in formats such as SBML, whose structure is very complex and difficult to evaluate due to many special cases. Results This article describes an efficient algorithm to solve SBML models that are interpreted in terms of ordinary differential equations. We begin our consideration with a formal representation of the mathematical form of the models and explain all parts of the algorithm in detail, including several preprocessing steps. We provide a flexible reference implementation as part of the Systems Biology Simulation Core Library, a community-driven project providing a large collection of numerical solvers and a sophisticated interface hierarchy for the definition of custom differential equation systems. To demonstrate the capabilities of the new algorithm, it has been tested with the entire SBML Test Suite and all models of BioModels Database. Conclusions The formal description of the mathematics behind the SBML format facilitates the implementation of the algorithm within specifically tailored programs. The reference implementation can be used as a simulation backend for Java™-based programs. Source code, binaries, and documentation can be freely obtained under the terms of the LGPL version 3 from http://simulation-core.sourceforge.net. Feature requests, bug reports, contributions, or any further discussion can be directed to the mailing list simulation-core-development@lists.sourceforge.net. PMID:23826941

Simplifying the ELA Common Core; Demystifying Curriculum

ERIC Educational Resources Information Center

Schmoker, Mike; Jago, Carol

2013-01-01

The English Language Arts (ELA) Common Core State Standards ([CCSS], 2010) could have a transformational effect on American education. Though the process seems daunting, one can begin immediately integrating the essence of the ELA Common Core in every subject area. This article shows how one could implement the Common Core and create coherent,…

Common Core: Teaching Optimum Topic Exploration (TOTE)

ERIC Educational Resources Information Center

Karge, Belinda Dunnick; Moore, Roxane Kushner

2015-01-01

The Common Core has become a household term and yet many educators do not understand what it means. This article explains the historical perspectives of the Common Core and gives guidance to teachers in application of Teaching Optimum Topic Exploration (TOTE) necessary for full implementation of the Common Core State Standards. An effective…

Advocacy: Emphasizing the Uncommon about the Common Core State Standards

ERIC Educational Resources Information Center

Kaplan, Sandra N.

2014-01-01

The author describes key issues and uncommon concerns about the Common Core State Standards that fit within two categories: philosophical and pedagogical. Philosophically, Common Core State K-12 Standards should not be expected to be mastered at a specific grade level but based on developmental readiness. Pedagogically, Common Core State Standards…

Utilizing Model Eliciting Activities (MEA's) to engage middle school teachers and students in storm water management practices to mitigate human impacts of land development

NASA Astrophysics Data System (ADS)

Tazaz, A.; Wilson, R. M.; Schoen, R.; Blumsack, S.; King, L.; Dyehouse, M.

2013-12-01

'The Integrating STEM Project' engaged 6-8 grade teachers through activities incorporating mathematics, science and technology incorporating both Next Generation Science Standards (NGSS) and Common Core State Standards-Mathematics (CCSS-Math). A group of researchers from Oceanography, Mathematics, and Education set out to provide middle school teachers with a 2 year intensive STEM integration professional development with a focus on environmental topics and to monitor the achievement outcomes in their students. Over the course of 2 years the researchers created challenging professional development sessions to expand teacher knowledge and teachers were tasked to transform the information gained during the professional development sessions for classroom use. One lesson resource kit presented to the teachers, which was directly applicable to the classroom, included Model Eliciting Activities (MEA's) to explore the positive and negative effects land development has on climate and the environment, and how land development impacts storm water management. MEA's were developed to encourage students to create models to solve complex problems and to allow teachers to investigate students thinking. MEA's are a great curriculum technique used in engineering fields to help engage students by providing hands on activities using real world data and problems. We wish to present the Storm Water Management Resource toolkit including the MEA and present the outcomes observed from student engagement in this activity.

Soft Skills: The New Curriculum for Hard-Core Technical Professionals

ERIC Educational Resources Information Center

Bancino, Randy; Zevalkink, Claire

2007-01-01

In this article, the authors talk about the importance of soft skills for hard-core technical professionals. In many technical professions, the complete focus of education and training is on technical topics either directly or indirectly related to a career or discipline. Students are generally required to master various mathematics skills,…

Using E-mail in a Math/Computer Core Course.

ERIC Educational Resources Information Center

Gurwitz, Chaya

This paper notes the advantages of using e-mail in computer literacy classes, and discusses the results of incorporating an e-mail assignment in the "Introduction to Mathematical Reasoning and Computer Programming" core course at Brooklyn College (New York). The assignment consisted of several steps. The students first read and responded…

Real Integration--Where the Rubber Meets the Road

ERIC Educational Resources Information Center

Moye, Johnny J.

2011-01-01

Integration of core academics into career and technical education (CTE) is not new. Putting core academics into context, CTE courses provide an excellent platform for students to learn the relevance of science, technology, engineering, and mathematics (STEM) as well as literature, arts, and social studies. Students learn to use this information by…

Education: Fingertip Facts 2010-11

ERIC Educational Resources Information Center

Shumway, Larry K.

2011-01-01

This paper offers facts and figures on Utah's education status for the school year 2010-2011. This paper contains the following: (1) Core CRT Language Arts Testing, 2010; (2) Core CRT Mathematics Testing, 2010; (3) 2010 Public Education General Fund--Funding by Source and Expenditures by Function; (4) 2009-10 Public School Enrollment Demographics;…

Comprehensive study of thermal properties of lunar core samples

NASA Technical Reports Server (NTRS)

Langseth, M. G.; Horath, K.

1975-01-01

The feasibility of a technique for measuring the thermal conductivity of lunar core samples was investigated. The thermal conduction equation for a composite cylinder was solved to obtain a mathematical expression for the surface temperature of the core tube filled with lunar material. The sample is heated by radiation from the outside at a known rate, the variation of the temperature at the surface of the core tube is measured, and the thermal conductivity determined by comparing the observed temperature with the theoretically expected one. The apparatus used in the experiment is described.

A Study of the Relationship between Extended Time Courses and Mathematics Growth among Ninth Grade Students

ERIC Educational Resources Information Center

Staden, David P.

2010-01-01

Accountability in education with regard to student achievement, especially within core subject areas such as mathematics, has emerged over the past ten years that support the need for impactful educational reform. Educators have been asked to evaluate the distinctiveness of the students that they serve to determine if there are better ways to…

Predicting Student Academic Performance in an Engineering Dynamics Course: A Comparison of Four Types of Predictive Mathematical Models

ERIC Educational Resources Information Center

Huang, Shaobo; Fang, Ning

2013-01-01

Predicting student academic performance has long been an important research topic in many academic disciplines. The present study is the first study that develops and compares four types of mathematical models to predict student academic performance in engineering dynamics--a high-enrollment, high-impact, and core course that many engineering…

Cognitive Backgrounds of Problem Solving: A Comparison of Open-Ended vs. Closed Mathematics Problems

ERIC Educational Resources Information Center

Bahar, Abdulkadir; Maker, C. June

2015-01-01

Problem solving has been a core theme in education for several decades. Educators and policy makers agree on the importance of the role of problem solving skills for school and real life success. A primary purpose of this study was to investigate the influence of cognitive abilities on mathematical problem solving performance of elementary…

The Quality of Instruction in Urban High Schools: Comparing Mathematics and Science to English and Social Studies Classes in Chicago

ERIC Educational Resources Information Center

Lee, Valerie E.; Robinson, Shanta R.; Sebastian, James

2012-01-01

Is the quality of instruction systematically better in one subject than another? Teachers and students in the same Chicago high schools reported on one core-curriculum class (English, mathematics, science, or social studies) in 2007 surveys. Teachers commented on instructional demands and student participation. Students described engagement,…

Common Core State Standards Alignment: Advanced Placement[R]. Research Report 2011-8

ERIC Educational Resources Information Center

Hart, Beth; Carman, Elaine; Luisier, Danielle; Vasavada, Natasha

2011-01-01

The College Board has been a strong advocate for and played an active role in the development of the Common Core State Standards. As part of this collaboration, the College Board helped draft the standards and helped shape the initiative by providing executive guidance on the Common Core Advisory Committee. The goal of the Common Core State…

Common Core Literacy Lesson Plans: Ready-to-Use Resources, K-5

ERIC Educational Resources Information Center

Davis, Lauren

2013-01-01

Schools nationwide are transitioning to the Common Core--our advice to you: Don't go it alone! Our new book, "Common Core Literacy Lesson Plans: Ready-to-Use Resources, K-5," shows you that teaching the Common Core State Standards in the elementary grades doesn't have to be intimidating! This easy-to-use guide provides model lesson plans for…

The Role of the Common Core in the Gubernatorial Elections of 2014

ERIC Educational Resources Information Center

Supovitz, Jonathan; Newman, Bobbi; Smith, Ariel

2014-01-01

After the Spring 2014 primaries, the Common Core State Standards were viewed as a political hot potato. As former Arkansas Governor Mike Huckabee said, "the Common Core has become toxic, I think it's radioactive…It has become an incredibly controversial topic on both the left and the right." Even so, the Common Core turned out to play a…

Mathematical Modeling and Pure Mathematics

ERIC Educational Resources Information Center

Usiskin, Zalman

2015-01-01

Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…

Does Time Matter in Improving Mathematical Discussions? The Influence of Mathematical Autonomy

ERIC Educational Resources Information Center

Kosko, Karl W.; Wilkins, Jesse L. M.

2015-01-01

Facilitating students' transition from less to more mathematically productive engagement in discussions is an important area of investigation. Research on mathematical whole-class discussions has consistently identified facilitating students' mathematical autonomy as a central component of this transition. Additionally, research commonly infers…

Proceedings of the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering - M and C 2013

DOE Office of Scientific and Technical Information (OSTI.GOV)

NONE

2013-07-01

The Mathematics and Computation Division of the American Nuclear (ANS) and the Idaho Section of the ANS hosted the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M and C 2013). This proceedings contains over 250 full papers with topics ranging from reactor physics; radiation transport; materials science; nuclear fuels; core performance and optimization; reactor systems and safety; fluid dynamics; medical applications; analytical and numerical methods; algorithms for advanced architectures; and validation verification, and uncertainty quantification.

Utah State Office of Education Fingertip Facts, 2013-14

ERIC Educational Resources Information Center

Utah State Office of Education, 2014

2014-01-01

Fingertip Facts is a compendium of some of the most frequently requested data sets from the Utah State Office of Education. Data sets in this year's Fingertip Facts include: Core CRT Language Arts Testing, 2013; Core CRT Mathematics Testing, 2013; 2013 Public Education General Fund; 2012-13 Enrollment Demographics; Public Schools by Grade Level,…

From Prescribed Curriculum to Classroom Practice: An Examination of the Implementation of the New York State Earth Science Standards

ERIC Educational Resources Information Center

Contino, Julie; Anderson, O. Roger

2013-01-01

In New York State (NYS), Earth science teachers use the "National Science Education Standards" (NSES), the NYS "Learning Standards for Mathematics, Science and Technology" (NYS Standards), and the "Physical Setting/Earth Science Core Curriculum" (Core Curriculum) to create local curricula and daily lessons. In this…

TOUGH+ v1.5 Core Code

DOE Office of Scientific and Technical Information (OSTI.GOV)

Moridis, George J.

TOUGH+ v1.5 is a numerical code for the simulation of multi-phase, multi-component flow and transport of mass and heat through porous and fractured media, and represents the third update of the code since its first release [Moridis et al., 2008]. TOUGH+ is a successor to the TOUGH2 [Pruess et al., 1991; 2012] family of codes for multi-component, multiphase fluid and heat flow developed at the Lawrence Berkeley National Laboratory. It is written in standard FORTRAN 95/2003, and can be run on any computational platform (workstations, PC, Macintosh). TOUGH+ v1.5 employs dynamic memory allocation, thus minimizing storage requirements. It has amore » completely modular structure, follows the tenets of Object-Oriented Programming (OOP), and involves the advanced features of FORTRAN 95/2003, i.e., modules, derived data types, the use of pointers, lists and trees, data encapsulation, defined operators and assignments, operator extension and overloading, use of generic procedures, and maximum use of the powerful intrinsic vector and matrix processing operations. TOUGH+ v1.5 is the core code for its family of applications, i.e., the part of the code that is common to all its applications. It provides a description of the underlying physics and thermodynamics of non-isothermal flow, of the mathematical and numerical approaches, as well as a detailed explanation of the general (common to all applications) input requirements, options, capabilities and output specifications. The core code cannot run by itself: it needs to be coupled with the code for the specific TOUGH+ application option that describes a particular type of problem. The additional input requirements specific to a particular TOUGH+ application options and related illustrative examples can be found in the corresponding User's Manual.« less

Common Core Literacy Lesson Plans: Ready-to-Use Resources, 9-12

ERIC Educational Resources Information Center

Davis, Lauren

2013-01-01

Schools nationwide are transitioning to the Common Core--our advice to you: Be prepared, but don't go it alone! Our new book, "Common Core Literacy Lesson Plans: Ready-to-Use Resources, 9-12," shows you that teaching the Common Core State Standards in high school doesn't have to be intimidating! This easy-to-use guide meets the particular needs of…

Common Core Literacy Lesson Plans: Ready-to-Use Resources, 6-8

ERIC Educational Resources Information Center

Davis, Lauren

2013-01-01

Schools nationwide are transitioning to the Common Core--our advice to you: Don't go it alone! Our new book, "Common Core Literacy Lesson Plans: Ready-to-Use Resources, 6-8," shows you that teaching the Common Core State Standards in the middle grades doesn't have to be intimidating! This easy-to-use guide meets the particular needs of middle…

Pre-Service Teachers' Mathematics Content Knowledge: Implications for How Mathematics Is Taught in Higher Education

ERIC Educational Resources Information Center

Lowrie, Tom; Jorgensen, Robyn

2016-01-01

This investigation explored pre-service teachers' mathematics content knowledge (MCK) and beliefs associated with mathematics education practices. An Exploratory Factor Analysis, conducted on a beliefs and attitudes questionnaire, produced three common attitude factors associated with (1) inquiry-based teaching; (2) how mathematics knowledge is…

Applying an alternative mathematics pedagogy for students with weak mathematics: meta-analysis of alternative pedagogies

NASA Astrophysics Data System (ADS)

Lake, Warren; Wallin, Margie; Woolcott, Geoff; Boyd, Wendy; Foster, Alan; Markopoulos, Christos; Boyd, William

2017-02-01

Student mathematics performance and the need for work-ready graduates to be mathematics-competent is a core issue for many universities. While both student and teacher are responsible for learning outcomes, there is a need to explicitly acknowledge the weak mathematics foundation of many university students. A systematic literature review was undertaken of identified innovations and/or interventions that may lead to improvement in student outcomes for university mathematics-based units of study. The review revealed the importance of understanding the foundations of student performance in higher education mathematics learning, especially in first year. Pre-university mathematics skills were identified as significant in student retention and mathematics success at university, and a specific focus on student pre-university mathematics skill level was found to be more effective in providing help, rather than simply focusing on a particular at-risk group. Diagnostics tools were found to be important in identifying (1) student background and (2) appropriate intervention. The studies highlighted the importance of appropriate and validated interventions in mathematics teaching and learning, and the need to improve the learning model for mathematics-based subjects, communication and technology innovations.

Remembering the hindu festivities mathematically by the balinese using integer operations and least common multiple

NASA Astrophysics Data System (ADS)

Budi Darmayasa, Jero; Wahyudin; Mulyana, Tatang; Subali Noto, Muchamad

2018-04-01

Ethnomathematicsis considered as a new study in mathematic education. As a study, numerous regions in this world starts to explore through ethnomathematics, including Indonesia. As the intersection between mathematics and mathematical modelling and culture, ethnomathematics exists in various society’s cultural elements, including in the Balinese Hindus’ festivities. To find the mathematical concept used in determining the festivity days, the researcher(s) conducted ethnographic research in Bali Mula society in Kintamani District, Bali. Participation observation, in-depth interview, and literature and documentation were used in collecting the data. As the result, the researcher(s) revealed that the mathematical concept used is integer operations, least common multiple, mixed fraction, and number sequences. Since it contains mathematical concept used in junior high, thus ethnomathematics of “4-hindu’s festivities” may be used as context in mathematics learning. By using ethnomathematics as the context, the researcher(s) expect that it will help teachers in motivation their students to learn mathematics.

Consequences, Characteristics, and Causes of Mathematical Learning Disabilities and Persistent Low Achievement in Mathematics

PubMed Central

Geary, David C.

2011-01-01

Objective The goals of the review are threefold; a) to highlight the educational and employment consequences of poorly developed mathematical competencies; b) overview the characteristics of the children with persistently low achievement in mathematics; and c) provide a primer on cognitive science research that is aimed at identifying the cognitive mechanisms underlying these learning disabilities and associated cognitive interventions. Method Literatures on the educational and economic consequences of poor mathematics achievement were reviewed and integrated with reviews of epidemiological, behavioral genetic, and cognitive science studies of poor mathematics achievement. Results Poor mathematical competencies are common among adults and result in employment difficulties and difficulties in many common day-to-day activities. Among students, about 7% of children and adolescents have a mathematical learning disability (MLD) and another 10% show persistent low achievement (LA) in mathematics despite average abilities in most other areas. Children with MLD and their LA peers have deficits in understanding and representing numerical magnitude, difficulties retrieving basic arithmetic facts from long-term memory, and delays in learning mathematical procedures. These deficits and delays cannot be attributed to intelligence, but are related to working memory deficits for children with MLD, but not LA children. Interventions that target these cognitive deficits are in development and preliminary results are promising. Conclusion Mathematical learning disabilities and learning difficulties associated with persistent low achievement in mathematics are common and not attributable to intelligence. These individuals have identifiable number and memory delays and deficits that appear to be specific to mathematics learning. The most promising interventions are those that target these specific deficits and, in addition, for children with MLD interventions that target their low working memory capacity. PMID:21285895

Using Bayesian Networks to Understand Relationships among Math Anxiety, Genders, Personality Types, and Study Habits at a University in Jordan

ERIC Educational Resources Information Center

Smail, Linda

2017-01-01

Mathematics is the foundation of all sciences, but most students have problems learning math. Although students' success in life related to their success in learning, many would not take a math course unless it is their university's core requirements. Multiple reasons exist for students' poor performance in mathematics, but one prevalent variable…

Impact of the Developing Mathematical Ideas Professional Development Program on Grade 4 Students' and Teachers' Understanding of Fractions. REL 2017-256

ERIC Educational Resources Information Center

Jayanthi, Madhavi; Gersten, Russell; Taylor, Mary Jo; Smolkowski, Keith; Dimino, Joseph

2017-01-01

Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during…

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…

The Effect of Modifying the Traditional Public School Calendar on Student Achievement in English and Mathematics in Selected School Populations in Hawaii

ERIC Educational Resources Information Center

Anderson, John Albert

2009-01-01

This quasi-experimental study strives to ascertain whether the change from a public school traditional calendar to a modified or year-round calendar effects academic achievement in English and mathematics. The twelve public elementary schools, not U.S. Department of Defense schools, in the core of this research are identified only as serving…

The Common Core: A Disaster for Libraries, a Disaster for Language Arts, a Disaster for American Education

ERIC Educational Resources Information Center

Krashen, Stephen

2014-01-01

This author contends that there never has been a need for the Common Core State Standards (CCSS), and there is no evidence that it will do students any good. The Common Core ignores the real problem in American education: poverty. The Common Core movement will be a disaster for libraries and will have a negative impact on nearly every aspect of…

Interdisciplinary training in mathematical biology through team-based undergraduate research and courses.

PubMed

Miller, Jason E; Walston, Timothy

2010-01-01

Inspired by BIO2010 and leveraging institutional and external funding, Truman State University built an undergraduate program in mathematical biology with high-quality, faculty-mentored interdisciplinary research experiences at its core. These experiences taught faculty and students to bridge the epistemological gap between the mathematical and life sciences. Together they created the infrastructure that currently supports several interdisciplinary courses, an innovative minor degree, and long-term interdepartmental research collaborations. This article describes how the program was built with support from the National Science Foundation's Interdisciplinary Training for Undergraduates in Biology and Mathematics program, and it shares lessons learned that will help other undergraduate institutions build their own program.

Analytical core loss calculations for magnetic materials used in high frequency high power converter applications. Ph.D. Thesis - Toledo Univ.

NASA Technical Reports Server (NTRS)

Triner, J. E.

1979-01-01

The basic magnetic properties under various operating conditions encountered in the state-of-the-art DC-AC/DC converters are examined. Using a novel core excitation circuit, the basic B-H and loss characteristics of various core materials may be observed as a function of circuit configuration, frequency of operation, input voltage, and pulse-width modulation conditions. From this empirical data, a mathematical loss characteristics equation is developed to analytically predict the specific core loss of several magnetic materials under various waveform excitation conditions.

STEM Gives Meaning to Mathematics

ERIC Educational Resources Information Center

Hefty, Lukas J.

2015-01-01

The National Council of Teachers of Mathematics' (NCTM's) "Principles and Standards for School Mathematics" (2000) outlines fi ve Process Standards that are essential for developing deep understanding of mathematics: (1) Problem Solving; (2) Reasoning and Proof; (3) Communication; (4) Connections; and (5) Representation. The Common Core…

NASA CORE - A Worldwide Distribution Center for Educational Materials.

NASA Astrophysics Data System (ADS)

Kaiser-Holscott, K.

2005-05-01

The Lorain County Joint Vocational School District (JVS) administers NASA's Central Operation of Resources for Educators (CORE) for the purpose of: A. Operating a mail order service to supply educators around the world with NASA's educational materials; B. Servicing NASA Education Programs/Projects with NASA's educational materials; C. Supporting the NASA Educator Resource Center Network with technology resources for the next generation of ERC. D. Support NASA's mission to inspire the next generation of explorers...as only NASA can; E. Inspire and motivate students to pursue careers in geography, science, technology, engineering and mathematics. This is accomplished by the continued operation of a central site that educators can contact to obtain information about NASA educational programs and research; obtain NASA educational publications and media; and receive technical support for NASA multimedia materials. In addition CORE coordinates the efforts of the 67 NASA Educator Resource Centers to establish a more effective network to serve educators. CORE directly supports part of NASA's core mission, To Inspire the Next Generation of Explorers.as only NASA can. CORE inspires and motivates students to pursue careers in geography, science, technology, engineering and mathematics by providing educators with exciting and NASA-unique educational material to enhance the students' learning experience. CORE is located at the Lorain County Joint Vocational School (JVS) in Oberlin, Ohio. Students at the JVS assist with the daily operations of CORE. This assistance provides the students with valuable vocational training opportunities and helps the JVS reduce the amount of funding needed to operate CORE. CORE has vast experience in the dissemination of NASA educational materials as well as a network of NASA Education Resource Centers who distribute NASA materials to secondary and post-secondary schools and universities, informal educators, and other interested individuals and organizations. CORE would be a valuable resource for the distribution of Earth and Space Science products presented to the Joint Assembly.

Gender Integration of a Core Content Area Teacher/Athletic Coach in the Rural Southeastern United States

ERIC Educational Resources Information Center

Brown, Alan

2012-01-01

Research on the occupational socialization of teachers and coaches has largely centered on physical education teachers and rarely on teachers from core content areas (i.e. English, foreign language, mathematics, science and social studies) who also coach athletics. The primary purpose of this single-case study was to explore the socialization of a…

What Will They Learn? 2016-17. A Survey of Core Requirements at Our Nation's Colleges and Universities

ERIC Educational Resources Information Center

Bledsoe, Eric; Kolson, Kenneth; Kempson, Lauri; Poliakoff, Michael

2016-01-01

In the fiercely competitive, global job market, solid preparation in core skills matters a lot. Will college graduates write with the clarity, grace, and accuracy that employers (and everyone else) expect? Will they have the basic mathematical and scientific skills--regardless of their majors--that equip them to navigate an increasingly…

Pearson-Praxis Assessments Review Teacher Certification Assessment Technology Education: A Report for the Council on Technology and Engineering Teacher Education

ERIC Educational Resources Information Center

Mahoney, Mark P.

2015-01-01

The Praxis Series, developed by Educational Testing Services (ETS), has been the long standing assessment for teacher licensure. It is comprised of three separate skills examinations: (1) Praxis Core Academic Skills for Educators (Core) (attempts to measure academic skills in reading, writing, and mathematics; content knowledge of candidates…