Students' creative process in mathematics is increasingly gaining significance in mathematics education research. Researchers often use Multiple Solution Tasks (MSTs) to foster and evaluate students' mathematical creativity. Yet, research so far predominantly had a product-view and focused on solutions rather than the process leading to creative…

This study explored what was entailed in implementing a professional development (PD) designed in the United States (US) to a different, Israeli, context. To achieve this goal, the first step was empirically examining the effectiveness of such a PD using quantitative methods. We then examined which adaptations were made in the imported PD and at…

A growing number of university STEM departments are incorporating active learning practices in their courses in response to evidence of the general effectiveness of such practices. Professional development for instructors new to active learning practices is increasingly important as efforts extend to reach past early adopters to engage a wider…

Nat Banting, argues that the "invert and multiply" algorithm for division of fractions is, in fact, not an algorithm. He suggests that Liping Ma's (1999) algorithm, which involves writing the fractions with a common denominator and then dividing the numerator of the first fraction by the numerator of the second fraction, is better as it…

We present a Scratch task we designed and implemented for teaching and learning coordinates in a dynamic and engaging way. We use the 5Es framework to describe the students' interactions with the task and offer suggestions of how other teachers may adopt it to successfully implement Scratch tasks.

This article presents examples of how early childhood educators (prek-2nd grade) might use their daily read alouds as a vehicle for increasing mathematical talk and mathematical connections for their students.

Sinusoidal functions are difficult for students: Periodicity is a new concept, transferring information from the unit circle can be confusing, and computations with multiple solutions can be overwhelming. Many struggle with both the unfamiliar "waviness" of sinusoidal graphs and their transformations (translations, dilations, and…

The domain of Mathematical Knowledge for Teaching (MKT) has provided theoretical and empirical advancements to teacher education scholarship. Today, MKT is widely recognized as a critical component of teachers' preparation, professional development, and experience. Early studies at the elementary level set the stage for defining, measuring,…

Researchers examined the effects of previewing on preschoolers' comprehension of narrative and educational content in a television program. Children (3-5 years, N = 107) watched an educational math episode in one of three conditions: no-preview control, education-focused expository preview, or story-focused narrative preview. A main effect of…

Records of online collaborative mathematical activity provide us with a novel, rich, searchable, accessible and sizeable source of data for empirical investigations into mathematical practice. In this paper we discuss how the resources of crowdsourced mathematics can be used to help formulate and answer questions about mathematical practice, and…

This paper introduces two central questions (1) what are available methodologies for making claims about mathematical practice and (2) when and how do claims about mathematical practice influence mathematics instruction. To motivate these questions, we critically analyze the relationship between research into mathematicians' practice and the…

Understanding typical rates of growth under intervention is necessary to establish what environmental expectations one should have and serves as a benchmark when investigating novel interventions. These trends are not well understood in the math domain. The current study addressed this gap by aggregating available data on digits correct per minute…

In this study, we examine the connections between real analysis concepts and secondary mathematics content. This is accomplished by conducting a textbook analysis of a commonly used real analysis textbook. Concepts from the real analysis textbook were mapped to the Common Core State Standards-Mathematics (2010) to determine the relationship…

When first learning how to write mathematical proofs, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially come across as more puzzling or even mysterious. In this article we explore three specific statements from abstract algebra that involve the number…

In this article, the authors argue that teachers need to possess appropriate understanding and diverse pedagogies to successfully move learners from additive to multiplicative thinking. Herein, they offer five pedagogical strategies that teachers can use to help students make this transition. Some of the challenges of learning multiplicative…