This paper explores how policy aims in mathematics curricula appear in classrooms and, crucially, how the resulting pedagogical practice affects the nature of mathematics itself. Whereas there have been many studies of policy and its relationship with teachers' practices, few have examined epistemological effects; what mathematics becomes as it is…

This study investigates the types of instruction multilingual learners (MLs) experience in the general education classroom in upper-elementary school. Using the Early Childhood Longitudinal Study, Kindergarten Class of 2010-2011 (ECLS-K) we examine the types of instructional practices MLs experienced in reading, math, and science in fourth and…

Background/purpose: Instructional interaction barriers--including physical, psycho-emotional, perceptual, semantic, and management-related factors--can impede learning and diminish the overall effectiveness of classroom practice. This study examines the barriers faced by mathematics teachers in Saudi Arabia and their differences across gender,…

This study aimed to investigate profiles of math emotions and performance and their stability when students transition from Grade 4 to 5 (n = 345). Furthermore, differences in school burnout levels associated with profile membership were investigated. A latent profile analysis was conducted to identify subgroups of students with different patterns…

Financial literacy is an essential skill for individuals, yet many countries are encountering many challenges to achieving the desired level of ideal financial literacy. Improving financial literacy requires integrating mathematical literacy with psychological, social, and cultural factors. Despite its importance, there is a lack of comprehensive…

Word problems are frequently used math problems that aim to bridge the gap between school mathematics and real life. As real-life situations usually involve many factors, word problems should not be oversimplified by focusing only on the numerical information provided by word problem statements. Furthermore, students should be expected to solve…

This research examines the integration of computational thinking in mathematics education, specifically examining its impact on students' algebraic reasoning. By teaching core computational concepts such as pattern recognition, decomposition, and algorithmic thinking, students develop a deeper understanding of algebraic structures and processes.…

This study explores the relationship between primary school teachers' beliefs about mathematics instruction and their actual teaching practices in Croatian classrooms. Specifically, it examines whether teachers' instructional approaches align with their beliefs, particularly in the context of traditional versus non-traditional pedagogical models.…

This note deals with some variants of the integral mean value theorem. Mainly a variant of Sahoo's theorem and a variant of Wayment's theorem were proved. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.

Interest in teachers' moves to classroom discourse has started to increase since how teachers respond to students' thinking influences students' learning. The purpose of this study was to investigate the moves used by one sixth grade mathematics teacher at a public middle school in Turkey to support student reasoning in mathematics instruction and…

Mathematical modelling has great potential to motivate students towards studying mathematics. This article discusses several different approaches to integrating research work with a second-year undergraduate, mathematical modelling subject. I found sourcing papers from the areas of epidemiology and ecology to be a fruitful source area,…

The SIR model is a differential equations based model of the spread of an infectious disease that compartmentalises individuals in a population into one of three states: those who are susceptible to a disease (S), those who are infected and can transmit the disease to others (I), and those who have recovered from the disease and are now immune…

In a pre-service mathematics methods class I taught, in which we mathematized political districting (first horizontally, then vertically), student questions led to engaging mathematics, in particular, the development of a new number sequence.

Students' difficulties in differentiating the direct proportion and inverse proportion problems cause interference. Proactive interference is the error that occurs when old information (concept of direct proportion) interferes with new information (concept of inverse proportion). In solving the problem of inverse proportion, students often use the…

We describe the components and implementation of an activity for multivariable calculus featuring applications to the field of chemistry. This activity focuses on the isobaric thermal expansion coefficient found using partial differentiation of the volume of an ideal gas with respect to temperature as pressure is held constant. Broader goals of…