This study aimed to reveal mathematical modeling processes and difficulties encountered in model-eliciting activities (MEAs) of 8thgrade students in a STEM education setting. This qualitative research is a case study conducted at a public school located in the central districts of a large province in the Mediterranean Region. The participants of…

The purpose of this study is to examine pre-service middle school mathematics teachers' (mis)conceptions related to definitions, classifications, and inclusion relations of convex quadrilaterals through a case study research design. The participants of the study were 20 pre-service middle school mathematics teachers who attended a must course,…

Advancement of testing of mathematical problem-solving skills calls for open-ended, realistic tasks particularly susceptible to bias, compromising the score validity and fairness of tests. Informed by universal design principles, this study framed 360 prototype items developed for the "Problem-solving Measures Grades 6-8 Computer Adaptive…

This study reports the classroom mathematical practices proposed in an instructional sequence grounding on the principles of inquiry-based learning (IBL) through the use of the dynamic geometry software (DGS) in learning to teach geometric transformations. A 5-week instructional sequence consisting of IBL activities that were guided by the…

Although students' nonstandard strategies have great importance in understanding students' thinking and creating effective mathematics classrooms, much remains unexplored in the literature. This study investigated 22 middle school teachers' reasoning about a student's nonstandard strategy for the division of fractions. The data were collected…

The New York State Department of Education (NYSED) has a partnership with Questar Assessment Inc. (Questar) for the development of the 2020 Grades 3-8 Mathematics Tests. Teachers from across the State work with NYSED in a variety of activities to ensure the validity and reliability of the New York State Testing Program (NYSTP). The 2020 Grades 6-8…

The present study uses a short, computerized task to investigate individual differences among middle school students in terms of the intuitions and strategies that they use to compare fractions. To tap into their intuitions about fractions, students were presented with pairs of fractions on the screen for a limited time of 10 s. Fraction pairs to…

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,…

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 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…

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…