Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…

This study examined whether learning with heuristic worked examples can improve students' competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks),…

This study aims to determine the relationship between middle school students' innovative thinking tendencies and entrepreneurial skills and to identify the variables that predict entrepreneurial skill. To this end, the study used the correlational survey method. The study group consists of 274 5th-, 6th-, and 7th-graders studying in 3 middle…

Students who exhibit mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly choose effective problem-solving strategies (McIntosh et al., 1997, https://ro.ecu.edu.au/ecuworks/6819). Due to its dispositional nature, mature number sense is typically measured through in-depth interviews or tests of…

Word problem solving skills include complex skills. Teaching word problem solving skills to students with disabilities is more difficult compared to their peers with typical development. Therefore, effective interventions need to be determined in order to teach these skills to students with disabilities. The purpose of this study is to analyze the…

This study explores the effects of number structure characteristics on student thinking in solving missing-value proportion problems. Prior research has documented that the presence of an integer ratio is beneficial, particularly if the integer relationship is within the same measure space. Less information on student performance is available,…

Background: As engineering becomes increasingly incorporated into precollege classrooms, it is important to explore students' ability to engage in engineering practices. One of these practices, "engaging in argument from evidence," has been well studied in science education. However, it has not yet been fully explored in engineering…

Mathematics assessments should allow all students opportunities to demonstrate their knowledge and skills as problem solvers. Looking at textbook word problems, the authors share a process for revising them using Universal Design for Learning (UDL). Outlined in detail here are problems for kindergarten, grades 5 and 7, and high school (algebra).

The aim of this study was to analyze middle school students' metacognition awareness levels and problem solving skills. The research was carried out with a total of 1595 middle school students studying in the 5th, 6th, 7th, and 8th grades in a middle school in a city of the Central Anatolia Region. The metacognitive awareness scale (MAS) form B…

Although visual representations are generally beneficial for learners, past research also suggests that often only a subset of learners benefits from visual representations. In this work, we designed and evaluated anticipatory diagrammatic self- explanation, a novel form of instructional scaffolding in which visual representations are used to…

The main purpose of the current study is to investigate middle school students' math self-efficacy perceptions and math problem posing attitudes. The sample of the study is comprised of 990 fifth, sixth, seventh and eighth grade students attending middle school in the Fethiye district of the city of Mugla. As the data collection tool, the…

The primary goal of this research is to investigate the relation between computational thinking skills and creative problem-solving skills in secondary school students over the 2018-2019 academic year (5th, 6th, 7th, and 8th grades). The study's sample size is made up of 1098 secondary school pupils. The T-test, one-way ANOVA, and multiple linear…

A theoretical framework grounded in constructionism and pragmatism theories supported research on learning by doing. This framework underpinned the purpose of this qualitative case study to explore how K-8 STEM teachers facilitated projects utilizing innovative technologies to solve community-based problems. The problem was a lack of connection…

One hundred four students aged 8 to 16 worked on one Fermi problem involving estimating the number of people that can fit in their school playground. We present a qualitative analysis of the different mathematical models developed by the students. The analysis of the students' written productions is based on the identification of the model of…

The aim of the study was to analyze the mathematics exam anxiety and problem-posing self-efficacy of middle school students in terms of their school, gender, and grade levels, as well as the relationship among these parameters. The research was conducted with 37 fifth grade students, 53 sixth grade students, 72 seventh grade students, and 77 eight…