The main purpose of this research is to examine the informal strategies of fifth and sixth grade students while solving inverse proportional word problems. Multiple case study was used in this study. The research was carried out in a public middle school from a southern city of Türkiye. The participants of the research consist of three fifth and…

Word problems are frequently taught in shallow contexts, where students primarily use procedural knowledge to solve problems and struggle to transfer their learning to real-life situations. This study examines how extra-mathematical knowledge and motivation may enhance the learning process. The study involved 345 fifth-grade students (51.2% male)…

The practice of statistics has the power to motivate and support learning across the STEM (Science, Technology, Engineering, and Mathematics) disciplines. When connected with meaningful science contexts, statistical problem solving through the collection of data and subsequent data analysis, supported by contemporary graphing technology, presents…

Check-in/check-out (CICO) is a Tier 2 behavioral management system in the School-wide Positive Behavior Support (SWPBS) framework, which is widely used in Western schools. However, this system is not currently used in public schools in mainland China, mainly because of the large class sizes. This study redesigned CICO to facilitate its…

This single-subject design study examines the effectiveness of a Tier 3 math intervention designed to address the academic challenges of three fifth-grade students not meeting minimum proficiency standards in long division. Using the self-regulated strategy development (SRSD) model, the intervention targeted procedural fluency and conceptual…

This study sought to understand how students activate number sense in determining the position of fractions on a number line and identify how the natural number bias and number sense influences students' thinking processes. The study utilized the Cognitive Task Analysis (CTA), involving four fifth-grade elementary students as the research…

Math problem solving frequently involves choices among alternative strategies. Strategy choices, and effects of problem features on strategy choices, both vary among individuals. We propose that individual differences in strategy choices can be well characterized in terms of parametric variation in three types of influence: global bias, relevant…

By some estimates, over 1.2 billion tons of soil was blown across the Great Plains during the height of the Dust Bowl. The so-called "black blizzards" these massive dust storms caused suffocated cattle, sickened children, and destroyed thousands of family farms. Formerly prosperous farmers, unsure why they had such bad luck, wondered if…

Arithmetic fluency is regarded as a foundational math skill, typically measured as a single construct with pencil-and-paper-based timed assessments. We introduce a tablet-based assessment of single-digit fluency that captures individual trial response times across several embedded experimental contrasts of interest. A large (n = 824) cohort of…

This essay extends beyond the characteristics and discourse of word problems to, more generally, school mathematical problem-solving and the implications entailed by a predominant paper-and-pencil mode of learning and instruction since the modern era of education. Contrasting what I call "one-handed" (with paper-and-pencil) with…

Although curriculum materials are essential for implementing instructional innovations, little is known about how exactly they support teachers' enactment of innovative approaches and how explicitly they must integrate their key components. The paper contributes to reducing this research gap for one instructional innovation: explicit strategy…

Mathematical coherence is a goal within the Common Core State Standards for Mathematics. One aspect of this coherence is how student mathematical thinking is developed across concepts. Unfortunately, mathematics is often taught as isolated ideas across grades. The multiplicative field is an area of study that needs to be examined as a space to…

Background/purpose: This research aims to analyze the impact of the Problem-Based Learning (PBL) model in differentiated learning to improve students' character values and learning outcomes in Pancasila and Civic Education (PPKn) at the elementary school level. Materials/methods: The study employs a descriptive qualitative method with a case study…

The study examines the psychometric properties of a translated version of the Integrated Teacher Rating Form (ITRF) for use in Greek schools. The ITRF is a 67-item targeted screening measure that can be used to identify students who demonstrate behaviors that interfere with their academic and social functioning and assist educators in designing…

This study examined how mathematics anxiety, trait emotional intelligence, and mathematics self-concept predict calculation fluency, numerical operations, and mathematical reasoning in students with and without mathematics learning difficulties (MLD). Participants (N = 326) were third- to fifth-grade students from China who completed standardized…