As they do their work, physical therapists apply mathematical ideas. Teachers can use some of those applications to inspire students' discovery of new concepts. In particular, the joints of the human body provide a way to represent angles that is accessible to all students and can be understood in the elementary grades. Used with fourth graders,…

As student achievement remains a critical discussion among federal policymakers, states, and local school districts, one response involves providing additional classroom support staff. To address deficits in mathematics education, the National Mathematics Advisory Panel (2008) urged the use of mathematics specialists (MS) to support teachers and…

This study presents findings from a randomized controlled trial of an afterschool program intended to develop mathematics identity for students from grades 4 and 5 in groups underrepresented in STEM. Mathematics identity refers to the ways that students think about themselves in relation to mathematics and the extent to which they have developed a…

Lesson study, especially when conducted with support from targeted resources, is often identified as a potentially effective means to support teacher learning. In this study, 80 school-based teams of educators, representing 80 classrooms of third- or fourth-grade students in the US, were randomly assigned to one of four conditions: lesson study…

Students in grades 3-5 are undergoing significant cognitive growth and beginning to understand what fairness and equity mean in a diverse and interconnected world. "Modern Math Tasks to Provoke Transformational Thinking" presents carefully crafted tasks that nurture multi-disciplinary literacies, including ecological and cultural…

The shift from additive to multiplicative thinking is challenging for students. A professional learning program was developed that focused on an identified area of need by teachers, namely multiplicative thinking. Program content focused on concepts underpinning multiplicative thinking, pedagogical approaches, challenging tasks, and application to…

Executive function (EF) training has shown promise for remedying general EF deficiencies faced by students with mathematics difficulty (MD) and for improving their performance. However, latest research also suggests that the instant and sustained effects of EF training remain inconsistent. In this study, 32 Chinese students with MD, age 7 to 10…

Area models are an important strategy for representing and solving multiplication problems under the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010). The hands-on task presented in this article, featuring differentiation and open-ended learning, sets up students to discover area models for themselves. Organized around…

In a social cognitive framework, teacher feedback is a relational influence that is particularly significant in shaping learners' vocational self-concept during childhood--a critical stage for career development. This study examines the relationships among perceived teacher feedback, children's competence perceptions, interests, and achievement in…

Background: Problem-solving as a vehicle to develop independent thinking skills is mostly underestimated and is often either overlooked or not given adequate attention within the existing South African mathematics curriculum. Consequently, numerous learners often display limited skills or lack skills to adequately crack Mathematics problems by…

Professional teacher collaboration, a fundamental characteristic of lesson study, has been pointed out as a principle of teacher personal and professional growth. This article aims to describe and analyze the development of professional collaboration in a lesson study, highlighting the main stages of this process. The investigation involved six…

In contemporary society, students' analytical thinking and reasoning skills are crucial for their future development. The fourth grade (ages 9-10) is a critical stage for cultivating higher-level cognitive skills in students. Mathematics plays a significant role during this period, serving as a fundamental tool for fostering students' analytical…

Mathematical learning has an important role and is often prioritized in education. In K-16 education, algebra is one of the most vital mathematical content domains: it represents one of the top barriers for students pursuing a postsecondary education. Game-based learning has been effective in fostering classroom math learning environments that are…

This study is conducted to further understand the direct and indirect contributions of executive functioning (visuospatial updating, verbal updating, inhibition, shifting) and arithmetic fluency to mathematical problem-solving in 458 fourth-grade students. Arithmetic fluency along with visuospatial and verbal updating were significant predictors…

Algebraic thinking is an important part of mathematical thinking, and researchers agree that it is beneficial to develop algebraic thinking from an early age. However, there are few examples of what can be taken as indicators of young students' algebraic thinking. The results contribute to filling that gap by analyzing and exemplifying young…