For students taking higher level mathematics courses, the transition from computational to proof-based courses such as analysis and algebra not only introduces a new format of writing and communication, but also a new level of abstraction. This study examines the affordances of one particular tool to aid students in this transition: a proof…

Several studies indicate that exploring mathematical ideas by using more than one approach to prove the same statement is an important matter in mathematics education. In this work, we have collected a few different methods of proving the multinomial theorem. The goal is to help further the understanding of this theorem for those who may not be…

Increasing number of studies have revealed that teachers' math anxiety is related to the use of less effective pedagogical practices, which can lead to reduced math achievement among elementary school students. Children's math experience begins before formal schooling. However, there is limited information about the effect of preschool teachers'…

Calculus has long been known as a "gateway course" to STEM fields in postsecondary education. To moderate this gatekeeping effect, Montclair State University researchers developed a peer-led, inquiry-based instructional support (IBIS) to run parallel to Calculus classes. The design of the IBIS model was informed by an instructional…

Math Innovation Zones (MIZ) is a strategic grant initiative first introduced by the Texas Education Agency (TEA) in 2018. A novel state-initiative aimed at increasing PreK - 8th grade math proficiency, the highly competitive grant program provides funding to both Texas school districts and open enrollment charter schools using allocations through…

Textbook is one of the most tangible resources for teaching and learning mathematics, offering valuable opportunities for both teachers and students. This study compared the mathematical tasks in 6th-grade textbooks from the United States and Turkey, focusing on three dimensions of the tasks: representation, contextual features, and cognitive…

This study investigates the effect of a professional development program designed to develop prospective mathematics teachers' ability to notice students' proportional reasoning. It examines how those teachers attended to student thinking, how they interpreted it, and how they decided to respond. Sixteen prospective teachers (PSTs) at a state…

Much attention has been paid to computational thinking (CT) as a problem-solving approach across various curricula, particularly in mathematics. Most studies solely used a digital instrument or examined transfer of program solving ability, neglecting the mathematics knowledge domain or how the novel digital instrument functions alongside the…

Students are indeed weak when it comes to understanding fractions and decimals. In line with the national curriculum, whole numbers and fractions are taught first before students start to learn decimals. By the time the students approach decimals, they should have acquired sufficient knowledge of whole numbers but limited knowledge of fractions.…

This study aims to investigate the effect of inquiry-based learning and direct instruction in enhancing mathematical thinking abilities among secondary school students to examine students' attitudes towards inquiry-based learning as a method for improving mathematical thinking abilities. This study adopted the quantitative research method.…

In this article, we describe the theoretical and pragmatic considerations behind our development of a set of nine protocols and training materials for engaging prospective secondary mathematics teachers in live, interactive clinical simulations. Our designs are grounded in theoretical principles from situated cognition and variation theory and…

Background/purpose: This research is motivated by the difficulties often experienced by students in adapting to their first year of college, especially related to learning calculus. To address these difficulties, a solution needs to be found so that these problems can be resolved. One solution that is expected to yield optimal results in…

Maths anxiety (MA) refers to the negative physical, emotional, and cognitive reactions triggered by maths-related tasks. This study aims to investigate the relationships among student-perceived maths teacher support, maths self-efficacy, academic procrastination, and MA in fifth-grade students, exploring how student-perceived maths teacher support…

This paper illustrates how young students aged 5 years old were supported to develop their mathematical representations. In seven lessons, students progressed from using concrete manipulatives to representing their mathematical ideas in more sophisticated ways. The teacher utilised specific instructional actions including holding high expectations…

This study is a systematic review of Technological Pedagogical and Content Knowledge (TPACK) studies concerning primary mathematics education published between 2005 and 2022. The aim of the systematic review was to identify the common features of previous TPACK research on primary mathematics education and identify the research gaps based on their…