The purpose of the study is to investigate pre-service elementary teachers' noticing expertise of students' mathematical thinking within the context of fractions. For this purpose, 32 pre-service elementary teachers were asked to examine students' answers and ways of thinking given in written excerpts related to fractions. The data was mainly…

Matters of identity are personally and socially constructed and do not always align with teacher perceptions. When this occurs, it can cause internal tensions in ways students navigate their sense of being in schooling and in society as a whole. These tensions can also impact students' mathematical identity and their motivations within mathematics…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

This descriptive and interpretive multi-case study investigated secondary prospective teachers' (PTs') beliefs about mathematical authority and how their student teaching experience(s) influenced their beliefs. The theoretical framework guiding this study was comprised of a novel definition for mathematical authority I developed, a conception of…

In "Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching" mathematics education expert and best-selling author Jo Boaler delivers a blueprint to banishing math anxiety and laying a foundation for mathematics success that anyone can build on. Perfect for students who have…

This book seeks to illustrate the research on mathematics competencies and disposition in China according to the conceptual development and empirical investigation perspective. Mathematics education in China has a distinguishing feature a focus of attention to mathematical competency. Paradoxically, there has not been an explicit, refined, and…

Aim/Purpose: This study aimed to develop a model for using social media content to promote 3D thinking of sustainability among students in integrated Mathematics, Language, Arts, and Technology (MLAT) classrooms. Background: Social media is one of the most relevant platforms among students of the 21st century to the extent that connecting it to…

Histories of mathematical practice account for mathematical knowledge and action by interpreting presently-available evidence as traces of the events, contexts, and relations that make up the past. Interpretations depend on the assumptions one makes about how mathematical knowledge works, insofar as it is knowledge and insofar as it is…

Researchers have suggested that initial attempts to change mathematics instruction often leave educators "with no framework for the kinds of specific, constructive pedagogical moves" they might make (Chazan & Ball, 1999, p. 2). The intent of this article is to introduce a framework for teaching and learning mathematics that is robust…

"Catalyzing Change in High School Mathematics: Initiating Critical Conversations" identifies and addresses critical challenges in high school mathematics to ensure that each and every student has the mathematical experiences necessary for his or her future personal and professional success. These challenges include: (1) explicitly…

This text serves to assist teachers in promoting student ownership of mathematics by synthesizing relevant research into practical classroom strategies across three tiers of student interaction and experience: classwide, peer-to-peer, and individual. Research from across these tiers of student experience is reviewed and synthesized including…

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics…

"Catalyzing Change in Middle School Mathematics" is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, "Catalyzing Change in High School Mathematics: Initiating…

"Catalyzing Change in Early Childhood and Elementary Mathematics" is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, "Catalyzing Change in High School…

Work in teacher noticing has captured to what extent teachers notice students' thinking on paper and pencil tasks and technology tasks, yet no one study has considered how the same group of teachers notices across task types. This study used Jacobs et al.'s (Journal for Research in Mathematics Education, 2010, 41(2), pp: 169-202.) professional…