This article shares the learning experienced by my seventh-grade students during a lesson incorporating LEGO robotics into my mathematics class. I provide evidence of my students' learning, which represents how LEGO robotics can benefit students in the mathematics classroom to support engagement and development of understanding.

This study follows a mathematical camp for high-school students identified as gifted, and examines it with a socio-cultural lens. Our goal is to examine the identities of students in the camp and the valued actions according to which these identities were authored, both by the students and by their instructors. Data was collected from three rounds…

This article presents a large-scale longitudinal study of hundreds of students across the state of Kentucky that participated in a dual-focus mathematics intervention initiative when they were in the third grade. Rather than an exclusive focus on intervention, this initiative focused on both (i) high quality pull-out intervention and (ii)…

This study aimed to investigate the effectiveness of a cooperative learning type TAI for teaching 3D geometry and to see whether or not the outcome of cooperative learning type TAI was found better for teaching 3D geometry rather than conventional learning model. This study was a experiment with pretest posttest only control design. The sample are…

The learning environment has been found to be related to mathematics anxiety at a variety of educational levels, including higher education, but to date has not been investigated in relation to preservice teachers. It has been previously found that preservice teachers often harbour high levels of mathematics anxiety, and that mathematics-anxious…

In this paper it is demonstrated how the free, and easily downloadable, software package called SMath Studio can be used to set up a model of alpha-particle scattering. The basic physics of the motion of an alpha-particle in the nuclear coulomb field is used to produce a simple stepwise computer algorithm which, in conjunction with a novel set of…

The metaphors that students form and encounter have been shown to exert a powerful influence on how they think about mathematics. In this paper, we explore the linguistic metaphors about learning and doing mathematics that were prevalent in 11 advanced mathematics lectures. We present four metaphor clusters that were common in the corpus that we…

Textbooks, which form the staples of a teacher's set of resources, play a critical role in deciding what and how mathematics is taught in classrooms. However, textbooks do not always present concepts in ways that enhance understanding by students, nor are they always comprehensive in the treatment of a topic. In this exploratory study, we analyse…

In the USA, the Common Core Standards in Mathematics for the early grades (K-3) are designed to build on and develop students' number sense as students gain understanding of the structures of addition, subtraction, multiplication and division. It is well understood in teaching circles that subtraction is notoriously more difficult for students…

Regular contributors James and Toby Russo return with a sixth principle for educationally-rich mathematical games--almost all mathematical games have the potential to be transformed into an investigation. This article builds on their earlier piece with Leicha A Bragg (APMC 23(3), 30-34). [For "Five Principles of Educationally Rich…

Global economic and societal shifts are causing movement from manufacturing economies to knowledge and information industries. As a result, learners must be equipped with the 21st century skills necessary for lifelong skill development and prosperity. Communication is identified as one of the essential 21st century skills for preparing students…

An Australian longitudinal study of 319 Kindergartners developed, implemented and evaluated an intervention, the Pattern and Structure Mathematics Awareness Program (PASMAP). It comprised of repetitions and growing patterns, structured counting and grouping, grids and shapes, partitioning, additive and multiplicative structures, measurement and…

Common student errors and misconceptions can be addressed through the method of classroom voting, in which the instructor presents a multiple-choice question to the class, and after a few minutes for consideration and small-group discussion, each student votes on the correct answer, using a clicker or a phone. If a large number of students have…

Beginning teachers (BTs) are increasingly expected to teach ambitiously from day one. However, they continue to face classroom management challenges. This study presents case studies of two elementary BTs that explore (1) the relationship between BTs' management and instructional practices in mathematics and English language arts and (2) its…

Negative relationships between mathematics anxiety and achievement appear in many countries globally (Lee, 2009; OECD, 2013), suggesting that mathematics anxiety could be an underconsidered factor in regions with persistently low mathematics achievement. We draw on a national sample of students and their teachers in Belize to examine relations…