A Mathematics Department Chair plays many roles within the department and within the university as a whole. Facilitating the development and teaching of mathematics services courses requires working with mathematics faculty as well as members of other departments on campus. In this paper, we discuss many issues related to the Department Chair's…

This paper presents the development and validation of the 17-item mathematics Graduate Student Instructor Observation Protocol (GSIOP) at two universities. The development of this instrument attended to some unique needs of novice undergraduate mathematics instructors while building on an existing instrument that focused on classroom interactions…

This study examined the characteristics of technology-enhanced statistical tasks written by 75 preservice mathematics teachers who used the ESTEEM project's curriculum materials. In particular, it investigated the extent to which the tasks incorporated three key aspects related to best practices for teaching statistics: (a) analysis of large,…

With advances in learning technologies, new pedagogical models are being developed to improve students' learning performance. One notable model is the flipped classroom, which has attracted the attention of many researchers, particularly in K-12 education. However, research on effective approaches for managing the flipped classroom model to…

Peek into a math classroom, virtual or physical. What are students doing and saying about their math learning? Are they engaged? Are they thinking critically -- evaluating solutions, assessing their understanding, revising their strategies, explaining concepts, and connecting mathematics to real life? Helping all students become more self-directed…

Manipulative artefacts are considered useful scaffolds of arithmetic during early years education, but their use is considered less important as children get older. Yet adult arithmetic performance often recruits artefacts to improve accuracy and efficiency, and so the same benefits should accrue to children beyond early years. We propose that…

Students' attitudes and motivations toward mathematics decrease as they intensively confront cognitive information along the process of mathematics teaching in general. One of the most important reasons for this is the lack of activities for affective and psychomotor domains in the mathematics teaching process. One way to overcome this problem is…

Moving from arithmetic to algebraic thinking at early grades is foundational in the study of number patterns and number relationships. This qualitative study investigates mental computational activity in a third grade classroom's and its relationship to algebraic thinking and reasoning. The data sources include classroom observations, field notes,…

This study analyzed the relative importance of different cognitive abilities for solving complex mathematical word problems (CWPs)--a demanding task of high relevance for diverse fields and contexts. We investigated the effects of spatial, verbal, numerical, and general reasoning abilities as well as gender on CWP performance among N = 1282…

This article discusses findings of a study conducted in an urban Title 1 elementary school in the United States. The study examined mathematics quarterly test data from Hispanic newcomer English language learners (ELLs) enrolled in Grades 4 and 5 at the same school, some of whom received mathematics instruction almost entirely in Spanish…

Mathematics clubs are becoming increasingly researched in South Africa, yet what might constitute a curriculum for such clubs has not been discussed. We present and analyse a curriculum design for clubs that we set up and worked with over three years. The goals of the clubs were to foster strong mathematical proficiency, identities and agency…

One does not have to teach for very long to see students applying the wrong formula in the wrong situation (e.g., Kirshner and Awtry 2004; Tan-Sisman and Aksu 2016). Students can become overreliant on the power of the formula instead of thinking about the relationships it describes. It is not surprising that students can see formulas as a way to…

The actions carried out by children are a mechanism that enables them to come into contact with their environment, assimilating it, acting on it, and thereby transforming it. From this perspective, an exploratory study has been designed to analyse the actions carried out by 87 children aged 1-3 years old in two task-situations involving the…

It is agreed that, if instruction in mathematics takes place in the students' first language, understanding abstract concepts and ideas in that subject can be challenging for them. However, many Jordanian students must master mathematics only via a second language or side by side with mastering it in Arabic, depending on their school system. The…

In this article, former high school teacher and K-12 math supervisor Stacy Winters questions if her approach to high school math instruction was what was best for student learning. After observing elementary classrooms and the way the teachers were able to engage the students in student centered, hands on, interactive, and fun math lessons, she…