This paper presents research activity on computer-based mathematics learning to study the effectiveness of open-source teaching computer platforms (Canvas) in computer-assisted instruction. We designed a set of multiple-choice online quizzes as a dynamical flow-chart of possible paths to follow while solving a difficult math problem on…

Correct specifications of hierarchical attribute structures in analyses using diagnostic classification models (DCMs) are pivotal because misspecifications can lead to biased parameter estimations and inaccurate classification profiles. This research is aimed to demonstrate DCM analyses with various hierarchical attribute structures via Bayesian…

Purpose: This study investigates the mathematics performance of "Orang Asli" pupils across two cognitive domains--Knowing and Applying--using three oral mathematics tests developed in different languages: the academic language ("Bahasa Melayu") (OBM), the academic native language ("Bahasa Semai") (OSL), and the tribal…

Students encounter hundreds of word problems throughout the elementary grades and on standardized assessments through high school. To demonstrate proficiency on these measures of mathematics competency, students must be skilled in solving word problems. Early detection of word-problem difficulty is essential, and screeners play an important role…

Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

The concentration in K-12 education on higher-order thinking has diminished the importance of math fact automaticity, which is the ability to deliver a correct answer immediately from long-term memory without impeding the working memory. This quantitative study investigated the influence of automaticity of high school students on their Missouri…

The purpose of this quantitative, quasi-experimental nonequivalent control group study was to determine if there is a difference in mathematical fact fluency among third-, fourth-, and fifth-grade students with varying practice methods and spacing intervals while controlling for pre-test scores. The study filled the literature gap by examining the…

Previous research has demonstrated a link between children's ability to name canonical finger configurations and their mathematical abilities. This study aimed to investigate the nature of this association, specifically exploring whether the relationship is skill and handshape specific and identifying the underlying mechanisms involved.…

We present our analysis of 254 Calculus I final exams from U.S. colleges and universities to identify features of assessment items that necessitate qualitatively distinct ways of understanding and reasoning. We explore salient features of exemplary tasks from our data set to reveal distinctions between exam items made apparent by our analytical…

Based on previous research, Computational Thinking (CT) Skills and attitudes can be influenced by gender differences. In addition, attitudes also have a correlation and influence on CT Skills. However, research on CT skills, attitudes, and gender for mathematics subjects and the relationship between CT skills for mathematics and attitudes is still…

This study was conducted to examine the effect of the Intelligence Games Preschool Program on the math skills of 60-72 month-old children. In the research, a model with pre-test post-test control group, which is one of the quasi-experimental models, was used. A total of 30 children, 15 of them from the experimental group and 15 of the control…

Mathematics plays a significant role in many study programs. However, several studies show deficiencies and a decline in beginning undergraduates' skills in mathematics in many content domains. However, it remains unclear whether they have improved in so-called process competencies like modeling, mathematical reasoning, or using different…

This article proposes a class of cognitive diagnosis models (CDMs) for polytomously scored items with different link functions. Many existing polytomous CDMs can be considered as special cases of the proposed class of polytomous CDMs. Simulation studies were carried out to investigate the feasibility of the proposed CDMs and the performance of…

Language as a cultural element influences Aboriginal pupils' mathematic performance. This study examines the utility of oral test in native language for computation and word problem mathematics items using score comparability. The sample includes 230 Grade 5 Orang Asli pupils from eight Malaysian primary schools in two states. By employing…

This study was an investigation of the use of manipulative materials in the mathematics classroom. The researcher guided students to create paper triangles, which were then used as a manipulative to calculate the sum of the interior angles of a triangle. On pre- and post-measures of quantitative data, although the data indicated a positive…