This paper focuses on the definitions and the mis-out and mis-in examples of rational numbers that four prospective elementary teachers presented while working on rational number assignments. The participants were first asked to respond, individually, to an Individual Rational Number Assignment, consisting of items aiming at detecting their…

Despite interest in how students' implicit theories--their growth and fixed mindsets about their own learning--affect students as learners, relatively little research on mindset has looked at "teachers" as learners. This study explores elementary teachers' implicit theories about the malleability of mathematics intelligence and teaching…

Develop your students' grade-level mathematical reasoning and problem-solving skills. Discover how your collaborative team can ensure all students learn grade-level mathematics during Tier 1 and Tier 2 instruction. This valuable guide provides preK-12 teachers with ready-to-use tools and strategies to help students communicate using mathematical…

Children are having fewer embodied social interactions outside (Haidt, 2024). Thus, there is a need to create embodied activities that turn students' attention to each other and nature (Barwell et al., 2022) and that build from their interests (Frankenstein & Powell, 2023). Using a socio-ecological framework that centers on relationships among…

This study's purpose was to examine the effects of the concrete-representational-abstract integrated (CRA-I) sequence on the performance of students who struggled with rational number concepts. Three students in southeastern U.S. fifth grade class participated in the study. The CRA-I intervention was grounded in the principles of explicit…

This quantitative descriptive and correlational study aimed to explore elementary teacher beliefs about mathematics and its relationship with instructional practices. The Constructivist Learning Theory and the Guiding Principles for School Mathematics provided the theoretical framework for the study. Descriptive and correlational research…

Purpose: The purpose of the study was to gather data to determine whether instructional coaching partnerships can improve teachers' implementation of learned mathematics instructional strategies. Teachers are willing to learn and implement new mathematics strategies after professional development sessions to see better student learning results.…

Traditional mathematics teaching approaches result in inequitable outcomes for students outside the dominant community. One reason for this is a school system that prioritises overly narrow ways of knowing, being and doing. One example of this is a teaching approach that prioritises very specific learning goals and highly structured lessons that…

This article encourages promoting a sense of belonging in the field of mathematics for children of all backgrounds by using multicultural children's literature to teach the subject. Doing so challenges inequitable structures while also connecting learners authentically to the increasingly diverse world around them, empowering their…

Teachers' actions matter greatly in the mathematics classroom, but it is not always clear what guides their actions or from where they come. As teachers strive to create rich and engaging learning environments, how they capitalize on a particular moment is often unclear. Sometimes just identifying potential pathways to take can be challenging. In…

Education has always been and will continue to be the key that unlocks doors of opportunity and success for all. Our national test scores, over the last several decades, reveal that a majority of America's students are failing to meet academic benchmarks and standards, thus limiting the possibilities for opportunity. Mathematics, in particular,…

Building upon the blockbuster success of "Building Thinking Classrooms in Mathematics," Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, "Mathematics Tasks for the Thinking Classroom, Grades K-5." But this book is so much more than…

Preservice teachers commonly struggle with topics related to fractions, ratio, and proportion. The use of double number lines can facilitate the teaching in these areas and provide autonomy and flexibility in mathematical thinking. Moreover, double number lines support many topics in the curriculum, including unit rate, convenience scaling, and…

Cover, Copy, Compare (CCC) has been shown to be an effective intervention at improving single-digit multiplication fluency within the academic intervention literature. The application of the three-term contingency trial embedded within CCC provides the intervention with several key components of evidence-based interventions. Given that teachers…

Although everybody learns at their own pace, the traditional, standardized education system remains prevalent. Unfortunately, this traditional system does not meet all learner needs and results in low academic achievement as demonstrated by state and national standardized tests (Netcoh, 2017; Pennsylvania Department of Education, 2019c; Schwahn…