Thinking is a tool to construct knowledge in learning mathematics. However, some college students have not been fully aware of the importance of constructing their knowledge. Therefore, this study aims to explore students' thinking processes in completing mathematical proofs through assimilation and accommodation schemes. This research was…

We present results from a meta-analysis of 37 experimental and quasi-experimental studies of summer programs in mathematics for children in Grades pre-K-12, examining what resources and characteristics predict stronger student achievement. Children who participated in summer programs that included mathematics activities experienced significantly…

Math performance became an increasing concern in the United States after the launch of Sputnik in 1957. This concern began with attempts to prescribe mathematical standards in the United States to improve student mathematics preparation. When the COVID pandemic began in 2020, policies on quarantining and remote learning were implemented, resulting…

Many people find that solving story problems is challenging. A key source of the difficulty is symbolizing problem situations. In two experiments, we tested whether diagrams promoted successful symbolization of two-operator story problems, and we tested whether diagrams that depicted the integration of operations were more beneficial than diagrams…

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

Improving children's "number sense" has been a core component of recent mathematics curricular and instructional reforms (CCSS, 2010; NCTM, 2000, 2014) in the United States. Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient…

Adaptive teachers use student data to guide instruction. Learn about using an anecdotal record form to support adaptive teaching. In this article, the authors describe how teachers can use learning trajectories to make adaptive decisions to meet the needs of their students. They provide an example using the U .S. Math Recovery Council's learning…

This study aims to evaluate ChatGPT's capabilities in certain numerical analysis problem: solving ordinary differential equations. The methodology which is developed in order to conduct this research takes into account the following mathematical abilities (defined according to National Centre for Education Statistics): Conceptual Understanding,…

Aim/Purpose: This study examines the relationship between primary school teachers' knowledge and their acceptance of digital game-based learning (DGBL) in mathematics teaching. Background: The rapid integration of digital technology in education highlights the potential of DGBL in primary mathematics education. Despite its advantages, the…

Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…

A theoretical model describing Grade 7 students' rational number sense was formulated and validated empirically (n = 360), hypothesizing that rational number sense is a general construct consisting of three factors: basic rational number sense, arithmetic sense, and flexibility with rational numbers. Data analysis suggested that rational-number…

The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla,…

For more than 30 years, the study of teachers' beliefs has been crucial to the mathematics education field since teachers' beliefs may significantly influence students' learning of mathematics. This study included 127 Estonian in-service primary and secondary school mathematics teachers teaching grades three to five. We examined their beliefs…

Research on Mathematics Teacher Educators (MTEs) is crucial for enhancing the professional development of prospective mathematics teachers. However, there is a dearth of recent studies focusing on MTEs' preparedness for technology integration, particularly within the Zambian educational context, and the wider Sub-Saharan African region. This study…

This study aims to explore the perceptions of high school students at risk of academic failure regarding their mathematics teachers, using drawings and related questions to gather detailed information. The perception of these students can provide valuable insights into the potential role of teachers in students' academic failure. Analyzing the…