Examining And Promoting Mathematical Connections With Concept Mapping

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Examining and Promoting Mathematical Connections with Concept Mapping

Author : Bobbye J. Bartels
Publisher :
ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.:/5 (349 download)

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Book Synopsis Examining and Promoting Mathematical Connections with Concept Mapping by : Bobbye J. Bartels

Download or read book Examining and Promoting Mathematical Connections with Concept Mapping written by Bobbye J. Bartels and published by . This book was released on 1995 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploratory study examined the way students make mathematical connections and the efficacy of using concept mapping as a tool for promoting connections explicitly during instruction. Nineteen students in an elementary mathematics methods course constructed group concept maps for five topics covered in the course. In this study, concept maps were used as a research tool and as an instructional tool. Interpretive analysis of the concept maps constructed by cooperative groups ($n=5$) and the protocols of student discussion showed that four themes affected the connections students made: compatibility with prior knowledge, explicitness and frequency of the connection, consistency in terminology and presentation, and recency of the connection. These themes were found interwoven through the students' prior knowledge, the course textbook, class discussion, and concept mapping. Complexity in mathematics terminology interfered with students' connection-making, especially when coupled with their prior knowledge about a concept. Additionally, when students observed physical models of geometric solids they made better connections, as long as the models were discussed adequately. Written explanations of mathematics concepts in the form of writing assignments and unit lesson plans were assigned to measure the number and kind of connections the preservice teachers might use during instruction. The number of connections on group concept maps correlated positively with the number of concept-to-concept connections in the writing assignments and unit lesson plans. Students used more concept-to-concept connections than any other kind, but they used more concept-to-manipulative and concept-to-real world connections with lower grade-level topics than with higher grade-level topics. An additional effect of concept mapping was observed as students' understanding of what it means to make connections grew during the semester to include a greater variety of connections. The study contributed to the growing literature about how students make connections when constructing mathematical knowledge. Additionally, it concludes that concept mapping has value as an instructional tool for promoting explicit mathematical connections and for improving preservice elementary teachers' understanding of mathematical connections.

Concept Mapping in Mathematics

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer Science & Business Media
ISBN 13 : 0387891943
Total Pages : 339 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Concept Mapping in Mathematics by : Karoline Afamasaga-Fuata'i

Download or read book Concept Mapping in Mathematics written by Karoline Afamasaga-Fuata'i and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education.

Concept Mapping in Mathematics

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer
ISBN 13 : 9780387891934
Total Pages : 220 pages
Book Rating : 4.8/5 (919 download)

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Book Synopsis Concept Mapping in Mathematics by : Karoline Afamasaga-Fuata'i

Download or read book Concept Mapping in Mathematics written by Karoline Afamasaga-Fuata'i and published by Springer. This book was released on 2009-03-05 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education.

Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics

Author : Haiyue JIN
Publisher : Routledge
ISBN 13 : 100058562X
Total Pages : 181 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics by : Haiyue JIN

Download or read book Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics written by Haiyue JIN and published by Routledge. This book was released on 2022-05-05 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics. Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts. By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding. With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries.

Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics

Author : Haiyue JIN
Publisher : Taylor & Francis
ISBN 13 : 1000585611
Total Pages : 223 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics by : Haiyue JIN

Download or read book Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics written by Haiyue JIN and published by Taylor & Francis. This book was released on 2022-05-05 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics. Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts. By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding. With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries.

Mathematical Connections by Inservice Teachers Using Concept Mapping

Author : Bobbye Hoffman Bartels
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (268 download)

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Book Synopsis Mathematical Connections by Inservice Teachers Using Concept Mapping by : Bobbye Hoffman Bartels

Download or read book Mathematical Connections by Inservice Teachers Using Concept Mapping written by Bobbye Hoffman Bartels and published by . This book was released on 1991 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course

Download Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course PDF Online Free

Author : Peter Francis Cardamone
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course by : Peter Francis Cardamone

Download or read book Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course written by Peter Francis Cardamone and published by . This book was released on 1975 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concept Mapping for Planning and Evaluation

Author : Mary Kane
Publisher : SAGE Publications, Incorporated
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Concept Mapping for Planning and Evaluation by : Mary Kane

Download or read book Concept Mapping for Planning and Evaluation written by Mary Kane and published by SAGE Publications, Incorporated. This book was released on 2007 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a complete guide to the concept mapping methodology and strategies behind using it for a broad range of social scientists - including students, researchers and practitioners.

How Chinese Teach Mathematics

Author : Lianghuo Fan
Publisher : World Scientific
ISBN 13 : 9814415820
Total Pages : 754 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis How Chinese Teach Mathematics by : Lianghuo Fan

Download or read book How Chinese Teach Mathematics written by Lianghuo Fan and published by World Scientific. This book was released on 2015-03-13 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, "How Chinese Learn Mathematics: Perspectives from Insiders," this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners.Contents: Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An Introduction"Historical and Contemporary Perspectives: "The Wisdom of Traditional Mathematical Teaching in China "(DAI Qin and CHEUNG Ka Luen)" How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research "(FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida)" "Understanding the Chinese Ways of Teaching Mathematics: " Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning "(HUANG Rongjin, MILLER L Diane and TZUR Ron)"Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence "(WANG Tao, CAI Jinfa and HWANG Stephen)" Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan "(HUANG Hsin-Mei E)" Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai "(FANG Yanping)" Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands "(LI Titus Siu Pang)" Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan "(YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)"Teaching Geometrical Theorems in Grade 8 Using the "Shen Tou" Method: A Case Study in Shanghai "(DING Liping, JONES Keith and ZHANG Dianzhou)" Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland "(HUANG Xingfeng, YANG Jinglei and LI Shiqi)" Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities "(XU Binyan and ZHU Guangtian)"A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors "(LEE Yuan-Shun and LIN Fou-Lai)" Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons "(MA Yunpeng and ZHAO Dongchen)" Qingpu Mathematics Teaching Reform and Its Impact on Student Learning "(GU Lingyuan, YANG Yudong and HE Zhenzhen)""Chinese Mathematics Teachers, Teacher Educati

Concept Mapping by Preservice Elementary Teachers

Author : Diane Thistle Weinholtz
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (338 download)

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Book Synopsis Concept Mapping by Preservice Elementary Teachers by : Diane Thistle Weinholtz

Download or read book Concept Mapping by Preservice Elementary Teachers written by Diane Thistle Weinholtz and published by . This book was released on 1995 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Concept Mapping

Author : Brian Moon
Publisher : CRC Press
ISBN 13 : 143982861X
Total Pages : 368 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Applied Concept Mapping by : Brian Moon

Download or read book Applied Concept Mapping written by Brian Moon and published by CRC Press. This book was released on 2011-02-07 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The expanding application of Concept Mapping includes its role in knowledge elicitation, institutional memory preservation, and ideation. With the advent of the CmapTools knowledge modeling software kit, Concept Mapping is being applied with increased frequency and success to address a variety of problems in the workplace.Supported by business appl

Cognitive Units, Concept Images, and Cognitive Collages: An Examination of the Processes of Knowledge Construction

Author : Mercedes A. McGowen
Publisher : Universal-Publishers
ISBN 13 : 1612337732
Total Pages : 260 pages
Book Rating : 4.6/5 (123 download)

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Book Synopsis Cognitive Units, Concept Images, and Cognitive Collages: An Examination of the Processes of Knowledge Construction by : Mercedes A. McGowen

Download or read book Cognitive Units, Concept Images, and Cognitive Collages: An Examination of the Processes of Knowledge Construction written by Mercedes A. McGowen and published by Universal-Publishers. This book was released on 2011-09-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exploring Teacher's Perceptions of Concept Mapping as a Teaching Strategy in Science [microform] : an Action Research Approach

Author : Catherine Anne Marks Krpan
Publisher : Library and Archives Canada = Bibliothèque et Archives Canada
ISBN 13 : 9780612942912
Total Pages : 494 pages
Book Rating : 4.9/5 (429 download)

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Book Synopsis Exploring Teacher's Perceptions of Concept Mapping as a Teaching Strategy in Science [microform] : an Action Research Approach by : Catherine Anne Marks Krpan

Download or read book Exploring Teacher's Perceptions of Concept Mapping as a Teaching Strategy in Science [microform] : an Action Research Approach written by Catherine Anne Marks Krpan and published by Library and Archives Canada = Bibliothèque et Archives Canada. This book was released on 2004 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to promote science literacy in the classroom, students need opportunities in which they can personalize their understanding of the concepts they are learning. Current literature supports the use of concept maps in enabling students to make personal connections in their learning of science. Because they involve creating explicit connections between concepts, concept maps can assist students in developing metacognitive strategies and assist educators in identifying misconceptions in students' thinking. The literature also notes that concept maps can improve student achievement and recall. In an effort to explore concept mapping from the perspective of elementary educators, an action research group of 5 educators and myself was established and met regularly from September 1999 until June 2000. All of the educators taught in the Toronto area. These teachers were interested in exploring how concept mapping could be used as a learning tool in their science classrooms. In summary, this study explores the journey of five educators and myself as we engaged in collaborative action research. This study sets out to: (1) Explore how educators believe concept mapping can facilitate teaching and student learning in the science classroom. (2) Explore how educators implement concept mapping in their classrooms. (3) Identify challenges educators experience when they implement concept mapping. (4) Explore factors that impact on facilitating collaborative action research. (5) Provide insight into my growth as an action research facilitator. Much of the current literature focuses primarily on concept mapping at the secondary and university levels, with limited focus on the elementary panel. The research rarely considers teachers' thoughts and ideas about the concept mapping process. In order to effectively explore concept mapping from the perspective of elementary teachers, I felt that an action research approach would be appropriate. Action research enabled educators to debate issues about concept mapping and test out ideas in their classrooms. It also afforded the participants opportunities to explore their own thinking, reflect on their personal journeys as educators and play an active role in their professional development.

The Case for STEM Education

Author : Rodger W. Bybee
Publisher : NSTA Press
ISBN 13 : 1936959259
Total Pages : 130 pages
Book Rating : 4.9/5 (369 download)

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Book Synopsis The Case for STEM Education by : Rodger W. Bybee

Download or read book The Case for STEM Education written by Rodger W. Bybee and published by NSTA Press. This book was released on 2013 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: "If you are interested in STEM education, policies, programs or practices, or you work on STEM in some capacity at any level, The case for STEM education will prove to be valuable reading. Author Rodger W. Bybee has written this book to inspire individuals in leadership roles to better understand and take action on STEM initiatives. The book's 10 chapters accomplish several tasks: Put STEM in context by outlining the challenges facing STEM education, drawing lessons from the Sputnik moment of the 1950s and 1960s, and contrasting contemporary STEM with other education reforms; Explore appropriate roles for the federal government, as well as states, districts, and individual schools; Offer several ideas and recommendations you can use to develop action plans for STEM. With an emphasis on both thinking and acting, The case for STEM education is a must-read for leaders at all levels: national and state policy makers, state-level educators responsible for STEM initiatives, college and university faculty who educate future STEM teachers, local administrators who make decisions about district and school programs, and teachers who represent STEM disciplines." - Back cover.

Using Concept Mapping to Foster Adaptive Expertise

Author : Diane Salmon
Publisher : Educational Psychology
ISBN 13 : 9781433122699
Total Pages : 0 pages
Book Rating : 4.1/5 (226 download)

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Book Synopsis Using Concept Mapping to Foster Adaptive Expertise by : Diane Salmon

Download or read book Using Concept Mapping to Foster Adaptive Expertise written by Diane Salmon and published by Educational Psychology. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Salmon and Kelly provide a research-based framework and corresponding strategies to help teachers develop, critique, and revise their concept maps. In using this approach, teachers refine knowledge for teaching in order to expand their adaptive expertise and ultimately improve the academic performances of their students.

Dissertation Abstracts International

Author :
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Helping Children Learn Mathematics

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.