The purpose of this study is to examine the relationship between flow intelligence (Gf), age and cognitive abilities of processing speed (Comp) of attention (Incomp) and reaction inhibition (Flef) in relation to the level of Mathematical proficiency (MP) of preschool students. Sixty-four kindergarten students participated in the research. Based on…

Solving problems involving absolute value is one of the hardest topics for students learning in elementary algebra course. This is an important topic in student's mathematics life since absolute value functions are important example of a function which is continuous on the real line but not differentiable at the origin. A deep understanding of…

This paper investigates two specific probabilistic biases which middle graders usually exhibit when reasoning about probability and randomness on assessment items. We discuss how students' reasoning about key probability concepts undergirds statistics literacy related to randomness, independence, and the likelihood of future events based on past…

Research has shown the majority of students who have completed a university calculus course reason about the definite integral primarily in terms of prototypical imagery or in purely algorithmic and non-quantitative ways. This dissertation draws on the framework of Emergent Quantitative Models to identify how calculus students might develop a…

Prior research has found gender differences in spatial tasks in which men perform better, and are more confident, than women. Do gender differences also occur in people's confidence as they perform number-line estimation, a common spatial-numeric task predictive of math achievement? To investigate this question, we analyzed outcomes from six…

Prior research has found gender differences in spatial tasks in which men perform better, and are more confident, than women. Do gender differences also occur in people's confidence as they perform number-line estimation, a common spatial-numeric task predictive of math achievement? To investigate this question, we analyzed outcomes from six…

This dissertation study investigated the efficacy of a multi-component intervention package delivered via an online learning tool on math fluency for prerequisite algebra skills for three 6th-grade students. Students were referred by their math teacher due to concerns with academic performance. Target skills were individualized for each student…

Research on fraction knowledge has revealed that prospective teachers' (PSTs) often lack fraction proficiency. The aim of this dissertation was to develop and test an intervention intended to increase PSTs' fraction proficiency by focusing on fraction comparison. I first adopted a five-dimensional framework to define PSTs' fraction proficiency. I…

This study evaluated the effects of the "Super Solvers" Tier II fraction intervention program on the algebra and fraction skills of secondary students with mathematics learning disabilities and consistent low achievement in mathematics. A quasi-experimental group design was used to evaluate the performance of the treatment and control…

Given the well-documented relation between executive functioning (EF) and math skills in preschool, there is a surprising lack of evidence on early intervention approaches that have successfully, and consistently, impacted both EF and math skills. To confront this gap in the literature, Study 1 explored why an established EF intervention impacted…

Abstract algebra has been identified as an important course for preservice secondary mathematics teachers because much of the abstract algebra content is connected to, and thus relevant for, secondary mathematics teaching (Wasserman et al., 2017). However, many preservice teachers do not recognize the usefulness of an undergraduate abstract…

Family-program partnerships in early care and education have the potential to influence young children's development through multiple pathways. Guided by the Head Start (HS) Parent, Family, and Community Engagement (PFCE) framework, the current study uses data from the 2014 HS Family and Child Experiences Survey (FACES) to examine the direct, and…

The study aimed to investigate the impact of incorporating deep learning strategies in mathematics instruction on students' problem-solving abilities, critical thinking skills, academic achievement, and mathematical skills development. The study population consisted of 280 students, with a sample size of 162 participants. Employing a purely…

A high-quality preschool education can foster critical development and learning that promotes joyful, affirming, and enriching learning opportunities that prepare children for success in school and life. While preschool programs generally provide emotionally supportive environments, their curricula often fall short in advancing learning in math,…

In this study, the evaluation of mathematical proficiency (MP) in one NSW Year 12 standardised exam paper was investigated. By considering the multi-strand model of MP, a literature-based criteria for scoring the assessment of MP in individual exam questions was first developed. The criteria were then applied to quantitatively evaluate the 2023…