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Schifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2016

The "Building a System of Tens Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation of specific mathematical…

Descriptors: Mathematics Instruction, Seminars, Case Method (Teaching Technique), Mathematical Concepts

Roscoe, Matt B. – Mathematics Teaching in the Middle School, 2016

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…

Descriptors: Data Analysis, Probability, Statistics, Mathematics

Harkness, Shelly Sheats; Thomas, Jonathan – Journal of Mathematical Behavior, 2008

This article describes the use of a case report, Multiplication as original sin (Corwin, R. B. (1989). "Multiplication as original sin." "Journal of Mathematical Behavior, 8", 223-225), as an assignment in a mathematics course for preservice elementary teachers. In this case study, Corwin described her experience as a 6th grader when she revealed…

Descriptors: Preservice Teacher Education, Preservice Teachers, Validity, Mathematics Instruction

Kurz, Terri L.; Serrano, Alejandra – Teaching Children Mathematics, 2015

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…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Teaching Methods

Wiest, Lynda R.; Amankonah, Frank O.; Thomas, Troy A. – Mathematics Teaching in the Middle School, 2011

Mathematics education is replete with activities that explore real-world problems. A variety of these problems are added to lessons in the belief that merely applying mathematics knowledge to everyday contexts will enhance the transfer of that knowledge to other settings. However, these contexts are hypothetical rather than authentic. This…

Descriptors: Numeracy, Grade 5, Grade 6, Middle School Students

Knuth, Eric J.; Choppin, Jeffrey M.; Bieda, Kristen N. – Mathematics Teaching in the Middle School, 2009

The goal of this article is to help teachers both recognize and capitalize on classroom opportunities so that students can be meaningfully engaged in mathematical proof. To do so, the authors discuss students' thoughts about proof and their abilities to construct arguments. They also offer suggestions for teachers that are intended to support…

Descriptors: Mathematics Instruction, Mathematical Logic, Mathematics Teachers, Validity

Woodward, John; Beckmann, Sybilla; Driscoll, Mark; Franke, Megan; Herzig, Patricia; Jitendra, Asha; Koedinger, Kenneth R.; Ogbuehi, Philip – What Works Clearinghouse, 2012

The Institute of Education Sciences (IES) publishes practice guides in education to bring the best available evidence and expertise to bear on current challenges in education. Authors of practice guides combine their expertise with the findings of rigorous research, when available, to develop specific recommendations for addressing these…

Descriptors: Mathematics Instruction, Problem Solving, Educational Research, Evidence

Greenes, Carole – Journal of Mathematics Education at Teachers College, 2014

Tasks to Advance the Learning of Mathematics (TALMs) were developed to stimulate grades 5-8 students' curiosity about complex mathematical relationships, inspire them to reason abstractly and quantitatively, encourage them to consider and create alternative solution approaches, develop their skills to persuade others about the viability of one…

Descriptors: Mathematics, Mathematics Instruction, Teaching Methods, Grade 5

Schielack, Jane – National Council of Teachers of Mathematics, 2010

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

Descriptors: Mathematics Curriculum, Grade 8, Misconceptions, Mathematics Instruction

Gersten, Russell; Beckmann, Sybilla; Clarke, Benjamin; Foegen, Anne; Marsh, Laurel; Star, Jon R.; Witzel, Bradley – What Works Clearinghouse, 2009

Students struggling with mathematics may benefit from early interventions aimed at improving their mathematics ability and ultimately preventing subsequent failure. This guide provides eight specific recommendations intended to help teachers, principals, and school administrators use Response to Intervention (RtI) to identify students who need…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Secondary School Mathematics, Elementary School Students

Mueller, Mary F.; Maher, Carolyn A. – Teaching Children Mathematics, 2010

Many educators share the vision of the Equity Principle--teachers holding high expectations for all students. However, according to National Assessment of Educational Progress (NAEP) reports, minority students continue to lag behind white students in mathematics achievement. Furthermore, the discrepancies are more pronounced on the extended,…

Descriptors: Mathematics Instruction, Mathematics Achievement, Minority Groups, White Students

McAllister, Deborah A.; McDonald, Shirley A.; Bothman, Susan M. – Online Submission, 2010

The activities contained in this document have been presented at several conference sessions. Participants engaged in hands-on activities for Grades 3 through 8 that utilized a deck of playing cards to meet mathematics content and process standards. Activities included variations of card games, but with a mathematical twist, and other card-based…

Descriptors: Preservice Teacher Education, Educational Games, Manipulative Materials, Experiential Learning

Norton, Anderson; D'Ambrosio, Beatriz S. – Journal for Research in Mathematics Education, 2008

The goal of this article is to examine students' mathematical development that occurs as a teacher works within each of 2 zones of learning: students' zones of proximal development (ZPD) and students' zones of potential construction (ZPC). ZPD, proposed by Vygotsky, is grounded in a social constructivist perspective on learning, whereas ZPC,…

Descriptors: Constructivism (Learning), Mathematical Concepts, Learning Theories, Grade 6

Isiksal, Mine; Cakiroglu, Erdinc – Hacettepe University Journal of Education, 2008

The purpose of this study was to examine preservice mathematics teachers' knowledge about common (mis)conceptions and difficulties of elementary students. In addition, it was aimed to investigate preservice teachers' knowledge about the possible sources of these misconception/difficulties, and their suggested strategies to overcome those…

Descriptors: Preservice Teacher Education, Preservice Teachers, Teacher Education Programs, Cognitive Processes

Rule, Audrey C., Ed.; Grueniger, Erika, Ed.; Hingre, Denise, Ed.; McKenna, Kyle, Ed.; Williams, Rebecca, Ed. – Online Submission, 2006

A study was conducted with forty-seven preservice childhood (elementary) education teachers (42 F, 5 M) enrolled in two mathematics methods classes taught by the same instructor to determine the effect of these college students making curriculum materials appropriate for upper elementary students on the preservice teachers' knowledge of…

Descriptors: Preservice Teachers, Elementary School Teachers, Preservice Teacher Education, Mathematics Instruction