The evaluation of the instructional mathematics coaches (IMC) initiative during the 2023-2024 school year focused on the first-year implementation of mathematics coaches in 47 elementary and middle schools. Twelve coaches were assigned to these schools based on specific criteria to provide support to mathematics teachers. This study investigated:…

This study focuses on a problem of practice at George County Middle School, a 6-8 middle school located in central Kentucky. The achievement gap between English Language learners and non-english language learners continues to grow wider as students' progress through their educational career. As a result, English learners are being…

Using the basic properties of the base-b representation of rational numbers, we will give an elementary proof of Gauss's lemma: "Every real root of a monic polynomial with integer coefficients is either an integer or irrational." The paper offers a new perspective in understanding the meaning of 'irrational numbers' from a deeper…

Partially automated assessment is implemented via the 'Printable worksheet' mode in the Numbas e-assessment system to create a mathematical modelling worksheet which is individualised with random parameters but completed and marked as if it were a non-automated piece of coursework, preserving validity while reducing the risk of academic misconduct…

In this article, we analyse a lesson on Thales's theorem in a Chilean secondary school classroom through the combination of two theories: Mathematics Teachers' Specialised Knowledge (ThMTSK) and Mathematical Working Spaces (ThMWS). Both theories, first separately and then in relation to one another, are used to analyse two tasks proposed by the…

A common exercise given to students early in a molecular biology course is the creation of a restriction map of a plasmid "digested" by two restriction enzymes (RE). Meanwhile, students have learned from an early age about the properties and analyses of circles in their mathematics courses. But it is rare for students to learn using…

In this article we present topics that can be considered when developing a landscape of investigation that reflects on the issues of the LGBTQ+ community. We outline the landscape "LGBTQ+ Life Conditions," having prospective teachers in mind. The outlining takes place in four steps: (1) We indicate the relevance of this topic and bring…

This study aims to reveal the possible benefits of incorporating the Broadwell-Burch four-stage model of competence development into mathematics teacher training. First, a historical overview is given about the appearance of the four-stage model starting from the original sources by Broadwell and Burch arriving at today's widespread use in the…

We present a method to compute the power series expansions of e[superscript x] ln (1 + x), sin x, and cos x without relying on mathematical analysis. Using the properties of elementary functions, we determine the coefficients of each series through the method of undetermined coefficients. We have validated our formulae through the use of…

The tutoring market has expanded dramatically over the past decade particularly in mathematics. In this paper, we problematise the growth of mathematics tutoring given its societal impacts and the current lack of evidence for its effectiveness. In addition to gaps in research on its effectiveness, there exist no comprehensive frameworks for…

Attending to the whole unit that a number refers to in a mathematical problem situation and showing flexibility in coordinating different units are foundational for mathematical understanding. In this study, we explored teachers' attention to and flexibility with referent units in situations involving fractions and fraction multiplication. Using…

This study analysed the designs of algebraic problems in elementary mathematics textbooks used in Finland, Indonesia, Malaysia, Singapore, and Taiwan. This study employed a content-analysis method that focused on four dimensions: representational forms, cognitive demand levels (CDLs), contextual features, and types of responses. The result of the…

The purpose of the systematic review of mathematics intervention syntheses was to identify patterns and gaps in content areas, instructional strategies, effect sizes, and definitions of learning disabilities (LD), mathematics LD (MLD), and mathematics difficulty (MD). Using rigorous inclusion criteria, we evaluated 36 syntheses that included 836…

In this study, we aim to explain choices that groups of preservice teachers made to implement modelling tasks in primary school. We found that the preservice teachers decided to facilitate everyday-inspired contexts for the tasks and that this could be explained by their reasoning that modelling is supposed to be an activity close to reality.…

We replicated a study of a kindergarten mathematics intervention, ROOTS, delivered in the context of a research-based core program. We randomly assigned 62 classrooms to treatment (ROOTS) or a business-as-usual control. All classrooms implemented the research-based core program (Early Learning in Mathematics). Participants included 163 treatment…