This article describes a sequence of design research projects, some exploratory others more formal, on the teaching of modelling and the analysis of modelling skills. The initial motivation was the author's observation that the teaching of applied mathematics in UK high schools and universities involved no active modelling by students, but was…

Polysynchronous learning involves the use of educational technologies to enable remote and face-to-face students to simultaneously participate in live classes. This article uses teaching observation and focus group data to explore the perspectives and instructional practices employed by teaching assistants tasked with facilitating polysynchronous…

The study presented aims at searching the relation between the learning environment and students' performances in Mathematics. Data of the 27 week-long research were compiled from 9th grade students at an Anatolian High School. Semi-experimental research modelled pre-test post-test control grouped experimental model was used in the study. Before…

In this article, the authors present a writing activity that allowed pre-service teachers to be creative in the mathematics classroom. Inspired by "The Important Book" by Margaret Wise Brown, students explored secondary-level mathematics concepts, discussing various attributes/characteristics of each concept through their written…

Tutoring centres are common in universities in the United States, but there are few published studies that statistically examine the effects of tutoring on student success. This study utilizes multiple regression analysis to model the effect of tutoring attendance on final course grades in Calculus I. Our model predicted that every three visits to…

The present study focused on an examination of both "global" and "domain-specific self-esteems" in secondary mathematics learning. The extent to which self-esteem, in general, would account and explain educational success through "social relationships with teachers" and "peers", and "personal interest…

This study examined proposed teacher responses to students' work to investigate how they respond, what characteristics of a good response are more difficult than others to achieve, and whether particular student error types are more difficult to respond to appropriately. Sixteen preservice secondary mathematics teachers' proposed responses to five…

Do your students need more opportunities do develop number sense and reasoning? Are you looking to get your students energized and talking about mathematics? Have you wondered how practical, replicable, and engaging activities would complement your mathematics instruction? This guide answers the question "What could I do differently?" by…

An important decision that professional development (PD) facilitators must make when preparing for activities with teachers is to select an appropriate tool for the intended learning goals of the PD (Sztajn, Borko, & Smith, 2017). One important and prevalent tool is artifacts of student thinking (e.g. Jacobs & Philipp, 2004). In this paper…

The Better Math Teaching Network (BMTN) is looking to transform high school math instruction in New England and beyond. Through this network, researchers and practitioners are working together to make high school Algebra I classes more student centered. This report outlines findings from the first year of this developmental evaluation of the…

This study assesses the reliability of two observation rubrics, one in math and the other in science, and documents how the rubric data were used to inform a teacher education program. Classroom observations are typically considered essential for assessing teaching practice, yet many popular observation frameworks, while comprehensive in aim, do…

We study the usage of a self-guided online tutoring platform called Algebra Nation, which is widely by middle school and high school students who take the End-of-Course Algebra I exam at the end of the school year. This article aims to study how the platform contributes to increasing students' exam scores by examining users' logs over a three year…

Replication research provides evidence to establish, refute, or support evidence-based practices. Systematic replications are also necessary to determine "what works for whom when." The purpose of this study was to conduct a conceptual systematic replication to evaluate the effectiveness of a multicomponent treatment package on…

This paper describes a national statistics-oriented project-based learning activity, which has been delivered annually for five years in Australia and the outcomes of a particular collaboration of this initiative with the discipline of environmental sustainability. The national initiative engages primary- and secondary-school students from varied…

This paper explores the impact of the course "Teaching and Learning of Mathematics (Grades 7 and 8)" for the preparation of pre-service secondary mathematics teachers. It examines how pre-service teachers perceived mathematical problem solving and communicating mathematical knowledge before and after the course. The main objective of the…