The application of decomposition strategies (i.e., associative or distributive strategies) in two-digit multiplication problem solving supports algebraic thinking skills essential for later complex mathematical skills like solving algebra problems. Use of such strategies is also associated with improved accuracy and speed in mathematical problem…

The work presented in the following chapters was undertaken with the goal of understanding and improving education in organic chemistry. Initial work, described in Chapters 1 and 2, focuses on students' ability to explain and rationalize the outcomes of organic chemistry reactions. Chapter 1 explores the relationship between assessment emphasis…

Given the connection between problem-solving and computational thinking (CT), studying the connections between these two constructs is critical. This study focused on students' computational problem-solving strategies, specifically how they applied conditional logic to solve CT-related puzzles within a game-based learning environment called…

To solve an unfamiliar mathematics problem, students of the subject must know more than the appropriate prerequisite content knowledge. They must also know how best to strategically apply their knowledge, how to monitor and gauge the effectiveness of their work, and how to respond (both cognitively and emotionally) to unanticipated results.…

Data science programming presents many challenges for programmers entering the field. Roughly, data science programming can be broken up into several activities: data wrangling, analysis, modeling, or visualization. Data wrangling is an important first step that involves cleaning and shaping tabular data--or dataframes--into a form amenable for…

Many questions have been asked about how to teach math, how to get students to like math, how to engage students in math and how to increase math scores. Metacognition and Self-Regulated Learning (SRL) have an impact on mathematics achievement in middle school students. In this quantitative study, the Self-Reflection Questionnaire, MKMQ was used…

Epistemic beliefs, epistemic cognitions, and self-regulation processes have a significant role in students' learning. Through this study, I investigated the role of mechanical engineering students' epistemic beliefs and epistemic cognitions involved in self-regulation processes while working on tasks with different difficulty levels. In this…

Mathematics literacy, which encompasses vital life skills such as learning to communicate and justify reasoning, is important for all people throughout their lives. Technology tools such as technology-based graphic organizers (TBGOs) provide universal accessibility supports for learners who experience difficulties with a variety of aspects of…

Novice programmers need well-designed instruction and assessment informed by research and critical perspectives to conquer the historical challenges associated with completing introductory computer programming courses successfully. These issues include high dropout and failure rates, the struggle to acquire and retain basic programming knowledge,…

Learning mathematics is difficult for many students, especially students with mathematics learning disabilities MLD. To improve the academic achievement for students with MLD, educational legislations (IDEA 2004; ESSA 2015) mandate that schools must use evidence-base core curricula. Textbooks conveys the intended values and principles for…

A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…

Mathematics instruction can work to open or constrain children's opportunities to learn, and the busy, interactive nature of instruction makes it challenging for researchers to identify patterns in high-quality opportunities to learn. While researchers have documented how whole-group discussions and small-group work can contribute to such…

The present study describes how deaf and hard-of-hearing (d/hh) children who primarily use listening/spoken English (oral d/hh) solve one-step arithmetic story problems. Past research examined the story problem-solving of hearing children (Carpenter et al., 2015) and d/hh children who used age-appropriate American Sign Language (signing d/hh;…

The purpose of this case study was to examine how one high-performing California TK-6th grade public elementary school had committed to the development of 21st century skills. Specifically, this study sought to identify the practices and structures at Utopia Elementary that allowed students of low socio-economic status and students with an…

Although there have been calls for secondary mathematics education in the U.S. to incorporate problem-solving and creativity, the lion's share of instruction is designed to train students to accurately use procedures or understand concepts made by mathematicians in the past (National Research Council, 1999; Watson, 2008). This disconnect…