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Author : Maryann Wickett,Katharine Kharas,Marilyn Burns
Publisher : Math Solutions
Page : 331 pages
File Size : 46,6 Mb
Release : 2002
Category : Education
ISBN : 9780941355483
Lessons for K-8 teachers on making algebra an integral part of their mathematics instruction.
Author : Ann Lawrence,Charlie Hennessy
Publisher : Math Solutions
Page : 278 pages
File Size : 46,9 Mb
Release : 2002
Category : Education
ISBN : 9780941355490
These lessons show how to maximize instruction that prepares students for formal algebra. Through a series of investigations, students build their proficiency with key algebraic concepts. Connections between arithmetic and algebra are made through the use of drawings, tables, graphs, words, and symbols. Lessons include a technology component with suggestions for teaching with graphing calculators.
Author : Leyani Von Rotz,Marilyn Burns
Publisher : Math Solutions
Page : 256 pages
File Size : 51,6 Mb
Release : 2002
Category : Education
ISBN : 0941355470
The lessons in this book introduce basic algebraic concepts to students in the primary grades. Manipulative materials, problem-solving investigations, games, and real-world and imaginary contexts support arithmetic learning while introducing ideas basic to algebra, including patterns, equivalence, and graphing.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 44,7 Mb
Release : 2011-11-30
Category : Mathematics
ISBN : 0941355896
Author : Paul Gray,Jacqueline Weilmuenster,Jennifer Hylemon
Publisher : Unknown
Page : 128 pages
File Size : 53,9 Mb
Release : 2016-09-01
Category : Electronic
ISBN : 0988679698
Algebraic Reasoning is a textbook designed to provide high school students with a conceptual understanding of algebraic functions and to prepare them for Algebra 2..
Author : Carolyn Kieran
Publisher : Springer
Page : 443 pages
File Size : 43,7 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319683515
This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.
Author : Steve Rhine,Rachel Harrington,Colin Starr
Publisher : IAP
Page : 351 pages
File Size : 40,7 Mb
Release : 2018-11-01
Category : Education
ISBN : 9781641134132
Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about students’ algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their experiences in the classroom. Through a Fund for the Improvement of Post-Secondary Education (FIPSE) grant, 17 teachers and mathematics educators read through the past 40 years of research on students’ algebraic thinking to capture what might be useful information for teachers to know—over 1000 articles altogether. The resulting five domains addressed in the book (Variables & Expressions, Algebraic Relations, Analysis of Change, Patterns & Functions, and Modeling & Word Problems) are closely tied to CCSS topics. Over time, veteran math teachers develop extensive knowledge of how students engage with algebraic concepts—their misconceptions, ways of thinking, and when and how they are challenged to understand—and use that knowledge to anticipate students’ struggles with particular lessons and plan accordingly. Veteran teachers learn to evaluate whether an incorrect response is a simple error or the symptom of a faulty or naïve understanding of a concept. Novice teachers, on the other hand, lack the experience to anticipate important moments in the learning of their students. They often struggle to make sense of what students say in the classroom and determine whether the response is useful or can further discussion (Leatham, Stockero, Peterson, & Van Zoest 2011; Peterson & Leatham, 2009). The purpose of this book is to accelerate early career teachers’ “experience” with how students think when doing algebra in middle or high school as well as to supplement veteran teachers’ knowledge of content and students. The research that this book is based upon can provide teachers with insight into the nature of a student’s struggles with particular algebraic ideas—to help teachers identify patterns that imply underlying thinking. Our book, How Students Think When Doing Algebra, is not intended to be a “how to” book for teachers. Instead, it is intended to orient new teachers to the ways students think and be a book that teachers at all points in their career continually pull of the shelf when they wonder, “how might my students struggle with this algebraic concept I am about to teach?” The primary audience for this book is early career mathematics teachers who don’t have extensive experience working with students engaged in mathematics. However, the book can also be useful to veteran teachers to supplement their knowledge and is an ideal resource for mathematics educators who are preparing preservice teachers.
Author : Don Balka
Publisher : R.I.C. Publications
Page : 136 pages
File Size : 43,6 Mb
Release : 2004
Category : Algebra
ISBN : 9781741260885
Develop algebraic thinking by exploring and conjecturing about patterns; verbalising relationships; making generalisations; symbolising relationships; working with functions and making connections between the real world and algebraic statemwnts. A resource for teachers to explore the components of alegbra.
Author : Julia Anghileri
Publisher : A&C Black
Page : 167 pages
File Size : 45,5 Mb
Release : 2000-12-21
Category : Education
ISBN : 9780826448194
A specialist text that uses a balance of theory and practice to help teachers deal with the problems and issues they will encounter in teaching mathematics. It includes examples for use in the classroom, and addresses the issue of how to teach most effectively in light of curriculum changes.
Author : Jinfa Cai,Eric Knuth
Publisher : Springer Science & Business Media
Page : 631 pages
File Size : 48,8 Mb
Release : 2011-02-24
Category : Education
ISBN : 9783642177354
In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.
Author : Anne M. Collins, Ph.D.
Publisher : Teacher Created Materials
Page : 5 pages
File Size : 50,7 Mb
Release : 2014-07-01
Category : Electronic
ISBN : 9781480786745
Differentiate problem solving in your classroom using effective, research-based strategies. This lesson focuses on solving problems related to the order of operations. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Author : Marilyn Burns
Publisher : Math Solutions
Page : 194 pages
File Size : 52,9 Mb
Release : 1996
Category : Education
ISBN : 9780941355162
Offers practical, classroom-tested ideas for helping students learn mathematics through problem solving.
Author : Anne M. Collins, Ph.D.
Publisher : Teacher Created Materials
Page : 5 pages
File Size : 44,6 Mb
Release : 2014-07-01
Category : Electronic
ISBN : 9781480786769
Differentiate problem solving in your classroom using effective, research-based strategies. This lesson focuses on solving problems related to number patterns. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Author : Anne M. Collins, Ph.D.
Publisher : Teacher Created Materials
Page : 4 pages
File Size : 52,6 Mb
Release : 2014-07-01
Category : Electronic
ISBN : 9781480786776
Differentiate problem solving in your classroom using effective, research-based strategies. This lesson focuses on solving problems related to geometric patterns. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Author : John Mason
Publisher : SAGE
Page : 340 pages
File Size : 46,6 Mb
Release : 2005-04-23
Category : Mathematics
ISBN : 1412911710
By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, this book makes it possible for all learners to succeed in thinking algebraically.
