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Schifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2018
The "Reasoning Algebraically about Operations Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty-four cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation into the…
Descriptors: Mathematics Instruction, Elementary Schools, Middle Schools, Teaching Methods
Melanese, Kathy; Chung, Luz; Forbes, Cheryl – Math Solutions, 2011
This new addition to Math Solutions "Supporting English Language Learners in Math Class series" offers a wealth of lessons and strategies for modifying grades 6-8 instruction. Section I presents an overview of teaching math to English learners: the research, the challenges, the linguistic demands of a math lesson, and specific strategies and…
Descriptors: Mathematics Instruction, English (Second Language), Second Language Learning, Grade 6
Shumway, Jessica – Stenhouse Publishers, 2011
Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use…
Descriptors: Number Systems, Problem Solving, Mathematics Instruction, Number Concepts
Fosnot, Catherine Twomey; Jacob, Bill – National Council of Teachers of Mathematics, 2010
This book provides a landscape of learning that helps teachers recognize, support, and celebrate their students' capacity to structure their worlds algebraically. It identifies the models, contexts, and landmarks that facilitate algebraic thinking in young students and provides insightful and practical methods for teachers, math supervisors, and…
Descriptors: Mathematics Education, Elementary School Mathematics, Investigations, Number Systems
Louis, Everett; Flores, Alfinio; Sophian, Catherine; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2010
How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organized around one big idea and supported by…
Descriptors: Number Systems, Mathematical Concepts, Mathematics Instruction, Pedagogical Content Knowledge
Suggate, Sebastian, Ed.; Reese, Elaine, Ed. – Routledge, Taylor & Francis Group, 2012
"Contemporary Debates in Childhood Education and Development" is a unique resource and reference work that brings together leading international researchers and thinkers, with divergent points of view, to discuss contemporary problems and questions in childhood education and developmental psychology. Through an innovative format whereby leading…
Descriptors: Early Childhood Education, Child Development, Developmental Psychology, Role of Education
Donovan, M. Suzanne, Ed.; Bransford, John D., Ed. – National Academies Press, 2005
"How Students Learn: Mathematics in the Classroom" builds on the discoveries detailed in the best-selling "How People Learn." Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. This book shows how to overcome the difficulties in teaching math to…
Descriptors: Mathematics Instruction, Learning, Numbers, Number Systems
Naval Education and Training Program Development Center, Pensacola, FL. – 1979
This textbook is one of a series of publications designed to provide information needed by Navy personnel whose duties require an elementary and general knowledge of the fundamental concepts of number systems, logic circuits, and Boolean algebra. Topic 1, Number Systems, describes the radix; the positional notation; the decimal, binary, octal, and…
Descriptors: Algebra, College Mathematics, Higher Education, Logic
Stanford Univ., CA. School Mathematics Study Group. – 1971
This text is the first of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first chapter, devoted to organizing geometric knowledge, deals with the distinction…
Descriptors: Algebra, Curriculum, Deduction, Geometry
Allen, Frank B.; And Others – 1961
Unit 9 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: sets and the number line, numerals and variables, sentences and properties of operations, open sentences and English sentences, the real numbers, properties of addition, properties of multiplication, properties of order, and…
Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction
Anderson, R. D., Ed.; And Others – 1961
This volume was prepared by the School Mathematics Study Group (SMSG) to help elementary teachers develop a sufficient subject matter competence in the mathematics of the elementary school program. Background material for related SMSG materials for grades four through eight are included. Chapters in the book are: (1) What is Mathematics; (2)…
Descriptors: Algebra, Arithmetic, Elementary Education, Elementary School Mathematics
Stanford Univ., CA. School Mathematics Study Group. – 1972
This text is the fourth of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This text begins with a brief discussion of quadratic equations which motivates the…
Descriptors: Algebra, Analytic Geometry, Curriculum, Geometric Concepts
Allen, Frank B.; And Others – 1961
Unit 17 in the SMSG secondary school mathematics series is a student text covering the following topics: number systems, coordinate geometry in the plane, the function concept and the linear function, quadratic functions and equations, complex number systems, equations of the first and second degree in two variables, systems of equations in two…
Descriptors: Algebra, Analytic Geometry, Curriculum, Elementary Secondary Education
Exner, Robert; And Others – 1973
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…
Descriptors: Curriculum, Experimental Curriculum, Individualized Instruction, Mathematical Applications
Exner, Robert; And Others – 1973
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…
Descriptors: Curriculum, Experimental Curriculum, Graphs, Individualized Instruction
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