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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

Bostic, Jonathan D. – Mathematics Teaching in the Middle School, 2015

"Who has been to Dairy Queen® and purchased a Blizzard?®" Ms. Bosetti asked her students. During the summer, Bosetti had seen many of her former and future students at the local Dairy Queen enjoying Blizzard desserts and wondered, "Which Blizzard size is the best value?" She used this context for a ratios and proportions task…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Mathematical Models, Food

Jacobson, Erik – Mathematics Teacher, 2014

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…

Descriptors: Mathematics Instruction, Mathematical Models, Mathematical Logic, Teaching Methods

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

Degner, Kate – Mathematics Teaching in the Middle School, 2015

In the author's experience with this activity, students struggle with the idea of representativeness in probability. Therefore, this student misconception is part of the classroom discussion about the activities in this lesson. Representativeness is related to the (incorrect) idea that outcomes that seem more random are more likely to happen. This…

Descriptors: Mathematics Education, Mathematics Activities, Probability, Educational Games

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

Ross, John A.; Xu, YunMei; Ford, John – School Science and Mathematics, 2008

Previous research (e.g., Woodward & Baxter, 1997) found that Standards-based mathematics teaching provides marginal or no benefits for low achievers, in contrast with positive effects for middle and high ability students. A randomized quasi-experiment in 52 Canadian schools found that low achieving grade 7 and 8 students who received support…

Descriptors: Student Attitudes, Educational Research, Low Achievement, Grade 7

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

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

Groves, Susie; Doig, Brian – International Group for the Psychology of Mathematics Education, 2004

This paper uses data from two mathematics lessons to explore the nature of progressive discourse and examine critical features of teacher actions that contribute to mathematics classrooms functioning as communities of inquiry. Features found to promote progressive discourse include a focus on the conceptual elements of the curriculum and the use…

Descriptors: Mathematics Instruction, Discourse Analysis, Teacher Student Relationship, Problem Solving

Woolner, Pamela – International Group for the Psychology of Mathematics Education, 2004

Despite mathematicians valuing the ability to visualize a problem and psychologists finding positive correlations of visual-spatial ability with success in mathematics, many educationists remain unconvinced about the benefits of visualization for mathematical understanding. This paper describes research that compared a "visual" to a "verbal"…

Descriptors: Teaching Methods, Secondary School Mathematics, Psychologists, Mathematics Instruction

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