The purpose of this study was to design and implement a practicum mentoring model to support prospective teachers as they learn to teach mathematics within a teacher education program. The context of this report on the practicum with an innovative mentoring model consisted of a pair of prospective teachers learning to teach mathematics from one…

Concrete, Representational, Abstract (CRA) instruction is a process for teaching and learning mathematical concepts. Starting with manipulation of concrete materials (counters, beans, Unifix cubes), the process moves students to the representational level (tallies, dots, stamps), and peaks at the abstract level, at which numbers and symbols are…

Despite reforms in mathematics education, many teachers remain reluctant to incorporate challenging (i.e., more cognitively demanding) tasks into their mathematics instruction. The current study examines how lesson structure shapes teacher perceptions of teaching with challenging tasks. Participants included three Year 1/2 classroom teachers who…

Digital textbooks were introduced in the Romanian education system in the 2014-2015 school year. In order to find out how well prepared were the primary grades teachers and pupils to use the six digital textbooks of Mathematics and Environmental Exploration, for the 2nd grade, we administered a questionnaire. To the questionnaire, with 14 items,…

This study aims to examine prospective elementary mathematics teachers' conceptual knowledge level for congruence and similarity in triangles subject and to examine their ability to represent the knowledge, to associate the knowledge with daily life, and to justify and solve the geometry problems about this subject. The study is designed in a…

This case study explores the use of photo elicitation methodology and children's photography as a method of researching children's early mathematical experiences and understandings. In the years 2008-2010, I undertook a PhD study which explored the experiences children have with, and understandings of, mathematics (specifically, measurement) as…

Purpose: The Malaysian government has allocated a large budget for "Orang Asli" primary school education via the Department of "Orang Asli" Development (JAKOA) to help improve the "Orang Asli" pupils' academic performance and in, Mathematics as well. Teachers face challenges in ensuring that "Orang Asli"…

"University of Chicago School Mathematics Project (UCSMP)" is a core mathematics curriculum that includes materials and a routinized instructional approach with an option for teacher training. The curriculum uses an inquiry-based approach with a focus on active learning where students frequently engage in hands-on activities and…

Motivation is a complex and dynamic phenomenon that is crucial for students' engagement and achievement. It is well known that motivation, especially mathematics motivation, declines over time, often starting in middle childhood. This dissertation is a collection of three studies that examine the trends and patterns of motivation within and across…

Over half of 4th grade students did not meet proficiency standards in mathematics on the National Assessment of Educational Performance in 2019 and this problem has persisted over time. This underachievement coupled with the numerous barriers to implementing evidence-based practices in schools reveals a need to provide a menu of effective…

In our exploration of the order of operations we focus on the following claim: "In the conventional order of operations, division should be performed before multiplication." This initially surprising claim is based on the acronym BEDMAS, a popular mnemonic used in Canada to assist students in remembering the order of operations. The…

A primary aim of mathematics programs is to accelerate the achievement of all students, including students with or at risk for learning disabilities (LD) in mathematics. Yet research suggests that many programs fail to incorporate the instructional design and delivery principles that have been validated to meet the learning needs of students with…

This paper explores an innovative assessment framework for measuring children's formal and informal mathematical knowledge. Many existing standardized measures, such as the Early Grade Mathematics Assessment, measure children's performance in early primary grade skills that have been identified by researchers and policy makers as foundational and…

The purpose of this study was to reveal the students' perceptions on blended learning through the Q method. The originality of the research stems from determining whether the students have a general tendency towards the blended learning process and evaluating the whole process through identifying its prominent components. The research data was…

This study aims to evaluate elementary school math teachers' self-efficacy beliefs about classroom management. With the aim of investigating elementary school math teachers' self-efficacy beliefs about classroom management, a classroom management self-efficacy scale was developed. The 5 point Likert scale is composed of 46 items. The scale was…