Coming from the commognitive standpoint, we consider proof-based mathematics as a distinct discourse, the transition to which requires special rules for endorsement and rejection of mathematical statements. In this study, we investigate newcomers' learning of these rules when being taught them explicitly. Our data come from academically motivated…

Completion of remedial mathematics has been identified as one of the keys to college success. However, completion rates in remedial mathematics have been low and are of much debate across America. This study leverages machine learning techniques in trying to predict and understand completion rates in remedial mathematics. The purpose of this study…

Recent reform efforts to center issues of equity and social justice in mathematics classrooms have been under fire from the loudest sectors of right-wing media. The hysteria around incorporating social justice issues in mathematics classrooms is captured in the artificial binary: STEM or CRT. In our paper, we examine resistance to reform efforts…

The importance of mathematical connections in teaching mathematics is broadly acknowledged in the literature. Nevertheless, more research is needed to clarify how different types of mathematical connections manifest in classroom interactions and how they can support student learning. This article uses the commognitive framework to analyse 15…

In 2024, the Future Directions for Mathematics Education Research, Policy, and Practice convening identified critical areas of need and opportunity for progress in mathematics teaching and learning. Amidst concerns about declining mathematical achievement and persistent disparities in access to high-quality mathematics education, the convening…

A common educational assumption is that coherence is a pre-requisite for a "good" curriculum. Indeed, in mathematics education this perspective has persisted both nationally and internationally as a foundational principle for curriculum design, reform, and evaluation. While curricular coherence is often unquestioningly accepted as…

This is the third in a series of articles describing CODAP and where it might be used to address content in the "Australian Curriculum: Mathematics" v9.0 (ACARA, 2022). We've talked before about model-ling and about statistics; this time, we'll talk about exploring probability using CODAP. As before, we have also prepared online pages…

A growing body of literature examines the use of rehearsals with preservice mathematics teachers, but research on rehearsals with experienced mathematics teachers is in its infancy. There is some evidence, however, that rehearsal debrief discussions can be valuable learning experiences for practicing teachers. Experienced teachers bring a rich set…

Word problem solving is the premise for students to generalize their problem solving skills to real world problems. This includes students with autism spectrum disorder (ASD) and intellectual disability (ID). Modified Schema-based Instruction (MSBI) is one strategy that research has shown is effective for teaching students with ASD/ID to acquire…

Students encounter mathematics word problems as early as kindergarten and continue to see them throughout their schooling experience. Schema instruction with an attack strategy can support students to successfully navigate word-problem solving. Schemas help students categorize word problems by similar characteristics. To better support students…

Educators often argue that students should engage in activities such as conjecturing, proving, and deductive reasoning. The underlying principle is that learning mathematics means doing as mathematicians do. However, "mathematician" implicitly refers to a pure mathematician at university. "The aim of our paper is to critically…

The Education Week Spotlight on Improving Math Fluency is a collection of articles hand-picked by editors for their insights on the importance of math fact fluency, the challenges students face with word problems, how teachers can optimize how they introduce math facts and better support students, how early math supports help vulnerable students,…

The phenomenon of statistics anxiety, prevalent particularly among students engaged in non-mathematical disciplines such as the social sciences, has been linked to a multitude of detrimental outcomes. Over time, several instruments have been developed to measure this construct; however, a comprehensive analysis of these instruments and an adequate…

Two novel proofs show that the sum of a specific pair of normal random variables is not normal are established in this note. This is one of the most often misunderstood facts by first-year students in probability theory and statistics. The first proof is concise using the moment generating function. The second proof checks whether the moments of…

Interesting conservation properties that exist in parallelograms are well known, such as: diagonal intersection, pairs of interior triangles that overlap each other, and other properties. This article presents a dynamic study of choosing any point inside and outside the parallelogram and connecting it with two of the vertices of the parallelogram.…