Prior short-term studies have shown the effectiveness of worked examples and self-explanation prompts in improving elementary students' mathematics knowledge. However, year-long classroom-based interventions have been tested only with older students. The purpose of the current study was to explore the effectiveness of a year-long classroom…

Background: Although research on mathematics learning programs has taken off in recent years, little is known about how different person characteristics are related to practice behaviour with such programs. When implementing a mathematics learning program in the classroom, it might be important to know whether students with specific…

A multiple regression analysis was conducted to investigate what variables may predict the student's self-perceived proficiency in mathematics. Hence, this quantitative cross-sectional survey design aimed to explore the factors predicting the student's self-perceived proficiency in mathematics using gamified instruction. Two hundred twenty-five…

The current study assessed whether adding worked examples with self-explanation prompts focused on making connections between mathematical principles, procedures, and concepts of rational numbers to a curriculum focused on invented strategies improves pre-algebra students' fraction number line acuity, rational number concepts and procedures.…

This research aims to explore the secondary school sixth and seventh graders' length measuring estimation skills developing activities related to the daily life objects. The study is in a qualitative multiple case study model. The universe of the research consisted of the sixth and seventh graders. The sample of the research consisted of 85…

A flipped classroom strategy is a teaching and learning strategy that had showed an increase in interest among educators from post-secondary to elementary educators. Flipped classrooms integrate technology as a resource where students can access lessons outside of the classroom. Instructional materials such as videos and podcasts are created,…

We present the evolving fraction conceptions of two elementary school children with mathematics learning disabilities (MLD). We use qualitative analyses to capture the mathematical knowledge and experiences of each child and show how teaching was used to support advancement of their fractional reasoning. Results illustrate two viable pathways of…

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…

Past research has indicated the vital role of affective factors in mathematics learning. This action research study aimed to develop and evaluate the effectiveness of an action plan, which was implemented to foster students' positive affective entry characteristics towards mathematics specifically by fixing the deficiencies in prior learning and…

School-based learning experiences are often designed with the "typical" student in mind. However, this may not be an optimal approach, given the variability of prior learning that exists in most classrooms. We investigated the variance in achievement within U.S. fourth- and eighth-grade mathematics classrooms using Trends in…

The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

Digital math apps on touch-screen devices have become popular as effective tools to support mathematics learning. Many apps incorporate gaming elements such as points, stars, coins, or storylines to increase student interest and motivation. However, there is limited research regarding the balance of gaming and mathematics elements and how it…

Given growing interest in K-12 data and data science education, new approaches are needed to help students develop robust understandings of and familiarity with data. The model of the "quantified self"--in which data about one's own activities are collected and made into objects of study--provides inspiration for one such approach. By…

Many studies have shown that visual representations can enhance student understanding of STEM concepts. However, prior research suggests that visual representations alone are not necessarily effective across a broad range of students. To address this problem, we created a novel, scaffolded form of diagrammatic self-explanation in which students…

The purpose of this study is to examine how fifth grade students were impacted by the infusion of multiple writing tasks in mathematics. In this study, writing tasks provided opportunities for students to communicate prior knowledge, share ideas to construct and justify arguments, for reflection, and assessment. In this deductive qualitative…