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Pournara, Craig – For the Learning of Mathematics, 2009

The ability of mathematics teachers to decompress mathematics and to move between representations are two key features of mathematical knowledge that is usable for teaching. This article reports on four pre-service secondary mathematics teachers learning the mathematics of annuities. In working with spreadsheets students began to make sense of…

Descriptors: Mathematics Education, Mathematical Concepts, Mathematics Teachers, Spreadsheets

Ryken, Amy E. – Journal of Mathematics Teacher Education, 2009

This documentary account situates teacher educator, prospective teacher, and elementary students' mathematical thinking in relation to one another, demonstrating shared challenges to learning mathematics. It highlights an important mathematics reasoning skill--creating and analyzing representations. The author examines responses of prospective…

Descriptors: Mathematics Instruction, Thinking Skills, Mathematical Models, Elementary School Mathematics

Markworth, Kim; McCool, Jenni; Kosiak, Jennifer – National Council of Teachers of Mathematics, 2015

Holidays and seasonal activities provide excitement and a change of pace for teachers and students alike. They also offer perfect backdrops for mathematical tasks that can be related to other topics and themes in the classroom. "Problem Solving in All Seasons, Prekindergarten-Grade 2" delivers thirty-two appealing, real-world situations,…

Descriptors: Primary Education, Early Childhood Education, Problem Solving, Kindergarten

Nieto, Sonia; López, Alicia – Teachers College Press, 2019

A must read for new teachers and seasoned practitioners, this unique book presents Sonia Nieto and Alicia López, mother and daughter writing about the trajectories, vision, and values that brought them to teaching, including the ups and downs they have experienced and the reasons why they have stubbornly remained in one of the oldest, most…

Descriptors: Teaching (Occupation), Teacher Attitudes, Elementary School Teachers, Secondary School Teachers

Eddy, Colleen M.; Pratt, Sarah S.; Green, Cheyenne N. – Mathematics Teacher, 2018

Have you ever considered how technology could facilitate reasoning and sense making of systems of linear inequalities? In this article, the authors share how to use Google® Maps® and Desmos to achieve this and provide students with opportunities to access mathematics as they build a more formalized understanding. Using an inquiry-based approach,…

Descriptors: Maps, Mathematics Instruction, Mathematical Concepts, Inquiry

Adler, Jill, Ed.; Sfard, Anna, Ed. – Routledge Research in Education, 2016

"Research for Educational Change" presents ways in which educational research can fulfil its commitments to educational practice. Focussing its discussion within the context of mathematics education, it argues that while research-generated insights can have beneficial effects on learning and teaching, the question of how these effects…

Descriptors: Educational Change, Educational Research, Mathematics Education, Mathematics Instruction

Louisiana Department of Education, 2013

This module assumes that the information presented in previous modules is well known to the learner. Module 4 is the first of three modules (4, 5, and 6) designed to provide an in-depth look at the Standards of Mathematical Practice which are part of the Common Core State Standards for Mathematics. Module 4 focuses on developing an initial…

Descriptors: Mathematics Education, Academic Standards, State Standards, Teacher Role

Leyva, Luis A. – Journal for Research in Mathematics Education, 2017

Gender research in mathematics education has experienced methodological and theoretical shifts over the past 45 years. Although achievement studies have used assessment tools to explore and subsequently challenge the assumption of male superiority on mathematics assessments, research on participation has unpacked these studies' sex-based…

Descriptors: Gender Issues, Masculinity, Misconceptions, Mathematics Education

Smith, Christopher E.; Paré, Jana N. – Mathematics Teacher, 2016

While one author was reading "The Simpsons and Their Mathematical Secrets by Simon Singh" (2013) in preparation for a presentation, the second author asked what in the book would be interesting to discuss. The topic of Klein bottles was on the first author's mind at that moment, so he tried to describe and explain the form to her--a real…

Descriptors: Mathematics Instruction, Teaching Methods, Art Education, Interdisciplinary Approach

Nuhrenborger, Marcus; Steinbring, Heinz – Journal of Mathematics Teacher Education, 2009

The study presented in this article investigates forms of "mathematical" interaction in different social settings. One major interest is to better understand mathematics teachers' joint professional discourse while observing and analysing young students mathematical interaction followed by teacher's intervention. The teachers' joint professional…

Descriptors: Discourse Analysis, Interaction, Mathematics Teachers, Social Environment

Polly, Drew – Teaching Children Mathematics, 2011

Students' use of technology allows them to generate and manipulate multiple representations of a concept, compute numbers with relative ease, and focus more on mathematical concepts and higher-order thinking skills. In elementary school mathematics classrooms, students develop higher-order thinking skills by completing complex tasks that require…

Descriptors: Elementary School Mathematics, Mathematical Concepts, Algebra, Mathematics Instruction

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

Stylianou, Despina A. – Journal of Mathematics Teacher Education, 2010

Current reform efforts call for an emphasis on the use of representation in the mathematics classroom across levels and topics. The aim of the study was to examine teachers' conceptions of representation as a process in doing mathematics, and their perspectives on the role of representations in the teaching and learning of mathematics at the…

Descriptors: Mathematics Education, Educational Change, Mathematics Teachers, Middle School Teachers

Harper, Suzanne R.; Cox, Dana C. – Mathematics Teacher, 2017

In the authors' attempts to incorporate problem solving into their mathematics courses, they have found that student ambition and creativity are often hampered by feelings of risk, as many students are conditioned to value a produced solution over the actual process of building one. Eliminating risk is neither possible nor desired. The challenge,…

Descriptors: Problem Solving, Mathematics Instruction, Student Motivation, Creativity

Raje, Sonali; Krach, Michael; Kaplan, Gail – Mathematics Teacher, 2013

Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…

Descriptors: College School Cooperation, Mathematics Instruction, Secondary School Mathematics, Problem Solving