Research has uncovered a semantic cue effect for short inconsistent word problems; the presence of functionally related objects makes them easier for pupils than the presence of categorically related ones. This study builds on this result by investigating other types of problems. Variants of problems differing in a semantic cue were solved by…

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

An important step in learning to use math in science is learning to see symbolic equations not just as calculational tools, but as ways of expressing fundamental relationships among physical quantities, of coding conceptual information, and of organizing physics knowledge structures. In this paper, I propose "anchor equations" as a…

Rational Numbers is an essential topic in mathematics since it necessitates the learning progression of more advanced topics. Nevertheless, previous literature shows that students are having difficulties in understanding the topic for numerous reasons. The inability of teachers in providing good examples during teaching is identified as one of the…

The study examines the impact of APOS theory on students' achievement in Elementary Linear Algebra (ELA) in accordance with their adequate prior knowledge (APK) and inadequate prior knowledge (IAPK). The mixed methods were used to determine the problem-solving test in ELA. Data were obtained from 65 industrial engineering students at Andalas…

Children possess different levels of mathematical skills when they begin their formal education. The home environment perhaps holds the key to such disparate maths skills in children's in early years. The aim of this study is to examine home maths activities and mothers' maths talk as the predictors of children's maths talk and early maths skills.…

This article focuses specifically on the inclusion of meaningful (but potentially messy) real-world mathematics tasks in the middle school classroom. Real-world tasks provide students with learning opportunities allowing mathematics to be used to understand the world, strengthen mathematical knowledge, and offer opportunities for students to use…

Frameworks can influence the work of mathematics teacher educators (MTEs) in many different ways. Frameworks can suggest a structure around which MTEs design instruction, provide a common language for communicating with prospective teachers, and support prospective teachers as they design their own instruction. This paper reports findings related…

Structures such as rehearsals have been designed within mathematics education to engage teacher candidates in deliberate practice of specific teaching episodes before enacting within classroom settings. Current research has analyzed traditional rehearsals that involve peers acting as K-12 students as the teacher candidate facilitates an activity;…

Ensuring students master their basic facts is a shared priority among teachers, parents, and administrators. As a result, the number of available resources for basic facts instruction, from concrete to virtual, is vast and continues to grow. Basic fact fluency has always been of interest to elementary school teachers and is particularly relevant…

Past studies revealed that the integration of ethnomathematics approaches is of great importance in the teaching and learning of mathematics as it is believed to improve learners' understanding and achievement in mathematics. Cognisant of the benefits of using ethnomathematics approaches in teaching and learning mathematics, the Zimbabwean school…

Background: Previous studies have suggested that teachers' frequent use of cognitive activation strategies in mathematics lessons is positively associated with students' mathematics achievement. Aims: This study aims to investigate the possible mediating role of mathematics self-efficacy in the association between cognitive activation and…

In this paper, six mathematics curriculum changes in Iran are reviewed, spanning from 1900 to 2021. Change of forces, barriers, and the main features of each reform are represented. Specifically, the first five curriculum changes are described briefly and the sixth and most recent one is elaborated upon, with more detail as contemporary school…

A model of instruction is a set of strategies that guide teachers in their instructional practice. The purpose of this paper is to dispel the myth that mathematics teaching in Singapore schools is all about drill and practice, as perceived of many Asian systems. This paper draws on data of a large project that examined the enactment of school…

This quantitative, causal-comparative ex-post-facto study primarily examined differences in mathematics achievement between Latinx English Learner (EL) fourth-grade students instructed in English and Spanish within one-way dual/developmental additive elementary bilingual language programs but tested in English. Additional analyses examined the…