The interplay between mathematics teachers' beliefs and practices has been widely investigated and research has examined how teachers' beliefs about mathematics, teaching and learning change when participating in continuing professional development (CPD). In this paper, I track teachers' self-reported beliefs and practice changes as they…

This study lies within the field of early-age algebraic thinking and focuses on describing the functional thinking exhibited by six sixth-graders (11- to 12-year-olds) enrolled in a curricular enhancement program. To accomplish the goals of this research, the structures the students established and the representations they used to express the…

In this article the authors describe how standard textbook questions can be turned into open questions to promote problem solving and reasoning. Six example solutions are given to one problem showing how an open problem can cater to the diversity of students in your class.

Mathematics is an important subject that plays a crucial role in constructing mental discipline among students. There has been a great focus on investigating students' attitudes toward mathematics in higher education settings. The current study is aiming to explore the factors that affect attitudes toward math among higher education students in…

Mathematics Challenge for Young Australians is a unique enrichment program that has been produced annually by the Australian Mathematics Trust since 1991. In its present form, it is divided into four levels and caters for talented students from years 3 to 10. In a typical year, it attracts over 15,000 entries. Individual schools arrange a period…

In this paper, we present a novel solution of the quadrature of a parabola based on application of Ramanujan's formula for the partial sum of the square roots of the first "n" natural numbers. We also derive a new formula for calculating of area of a parabolic segment and we apply the result to a generalization of some classical theorems…

Background: Teacher turnover is a dire and chronic problem for many education systems across the globe. According to UNESCO, 70% of teachers will be replaced by 2030. This study investigates the relationship between the retention of science and mathematics teachers and factors related to human, social, structural, and positive psychological…

This book, compiled in honor of Chair Professor Frederick K. S. Leung, contributes to revisiting, renewing and enriching the knowledge of cultural matters to mathematics education, widening the horizon in the use of cultural perspectives to explain the characteristics of classroom teaching and learning in East Asia, and to explain/re-interpret the…

Two broad categories of instructional practices, (a) explicitly attending to concepts and (b) fostering students' opportunities to struggle, have been consistently linked to improving students' mathematical learning and achievement. In this article, we describe an effort to build these practices into a framework that is useful for a diverse set of…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

COVID-19 contributed to the largest student performance decline in mathematics since 1990. The nation needs cost-effective mathematic interventions to address this drop and improve students' mathematics performance. This study presents a cost-effectiveness analysis (CEA) of three algebraic technological applications, across four conditions: From…

Sequences are an important topic--not only in mathematics but also in the mathematics curriculum. Exploring sequences related to medial triangles offers learners opportunities to solve problems involving sequences within geometric contexts. Sequences related to medial triangles are also a rich source of beautiful and interesting geometric patterns…

Argumentation is an important mathematical practice, highlighted by research and policy documents that describe ways to structure reform-oriented classrooms (Nardi and Knuth 2017; NCTM 2000; NGA Center and CCSSI 2010). Participating in argumentation can enhance students' mathematics learning as they make sense of mathematical ideas, provide…

This paper investigates and considers factors that affect success in solving a stand-alone geometrical problem by 182 students of the 7th and 8th grades of elementary school. The starting point for consideration is a geometrical task from the National Secondary School Leaving Exam in Croatia (State Matura), utilising elementary-level geometry…

The purpose of this study was firstly to investigate the mathematical metacognitive characteristics of high-efficiency students by comparing high-efficiency and low-efficiency students. Secondly, the aim was to explore the pathways of mathematical metacognition of efficient mathematics learners in mathematics achievement. In this study,…