Spatial visualisation is an essential component of geometric thinking and measurement sense. It is a particular type of spatial skill that involves manipulation of spatial images and may not be naturally occurring for students. However, research shows that it is malleable and can be developed through instruction. This article presents an…

In this article, we describe a software system for assessment development in online learning environments in contexts where there are robust links to cognitive modelling including domain and student modelling. BEAR Assessment System Software (BASS) establishes both a theoretical basis for the domain modelling logic, and offers tools for delivery,…

In 2018, the Texas Education Agency (TEA) introduced a competitive grant program designed to assist Local Education Agencies (LEA) in attaining Math Innovation Zone (MIZ) designation through a four-year process which ensures program fidelity. The primary objective of this initiative is to enhance math proficiency levels for PreK - 8th grade…

It was aimed to examine pre-service teachers' developing understandings of doing statistics within a lesson study. It was focused on their understandings (i.e., content knowledge) of doing statistics as well as how they transform their understandings (i.e., content knowledge) into teaching practices (i.e., knowledge of student & knowledge of…

Existing literature on the impact of Common Core State Standards in Math has shown little benefit, but has not examined variation in outcomes based on implementation strategies, student subgroups, or outcomes other than test scores. We use a difference-in-differences approach with school fixed effects to compare outcomes in pre- and post-standards…

Young adolescents build notions of figures through experiences. When young adolescents begin middle school mathematics, they already have prior assumptions and conceptualizations about shapes (Herbst, Fujita, Halverscheid, & Weiss, 2017). Over years of experiences, interactions, and exposures with a particular concept, these students develop…

The aim of the study was to test the effect of teachers' professional development upon students' mathematics academic achievement levels with the help of lesson study. In this manner, the study aimed at increasing students' mathematics learning levels via lesson study. Action research was used as research method in the study. The sample of the…

In this dissertation study, I report on six middle school students' construction and interpretation of graphs and associated dynamic situations. Constructing and interpreting graphs represents a critical moment in middle school mathematics due to its opportunity to provide a powerful foundation for learning. Nevertheless, researchers have…

The purpose of this study was to evaluate the effect of a mathematics intervention that utilized the Universal Design for Learning (UDL) framework on mathematical problem solving skills for three middle school students with extensive support needs (ESN). Participants were taught to solve percent of change word problems related to personal finance…

Now in its fourth edition--with more than 50 new questions and a new chapter on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in K-grade 8. Math education expert Marian Small shows teachers how to get started and become expert at using two…

Teaching and learning fraction concepts continues to be increasingly challenging, especially for elementary and middle school mathematics teachers and students in intervention settings. It is critical for educators to implement instruction that proactively considers engagement, access, and conceptual growth for all students. Dream 2B, a web-based…

The aim of this research is to determine the misconceptions among 6th, 7th and 8th grade students about the order of operations in line with arithmetic expressions and posing and solving problems related to arithmetic expressions. The research has a mixed-method research design with concurrent-triangulation design. The study group for the research…

This is a descriptive study which attempts to answer how well 8th grade students define a rectangle. The subjects for this study were 93 of 8 th grade students. The students were administered a written open ended test on the definition of a rectangle which was adapted from Ahuja (1996). Responses of the students were coded by each researcher…

Learning and teaching function transformation has a significant place since it provides new opportunities for learners to use, reflect and discover knowledge related to the concept of function. This study's main goals related to the importance of learning function transformation are to examine pre-service mathematics teachers' (PMTs) mental…

Children and adults often have difficulties comparing decimal magnitudes. Although individuals attempt to reconcile decimals with prior whole-number and fraction knowledge, conceptual and procedural differences between decimals and prior knowledge of whole numbers and fractions can lead to incorrect strategies. The dynamic strategy choice account…