This article features a fifth grade mathematics exploration planned to facilitate students' productive struggle. The exploration was a catalyst for a team of educators to unpack the teacher's experience when facilitating students' productive struggle. The team called this "teacher productive struggle" and shares about the construct…

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…

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…

What comes to mind when one thinks about building? One may envision constructions with blocks or engineering activities. Yet, constructing and building a number system requires the same sort of imagination, creativity, and perseverance as building a block city or engaging in engineering design. We know that children invent their own notation for…

The Great Mini-Golf Project requires students to use a ruler to identify measurements to the quarter-inch, with careful precision and accuracy, which supported the Standards for Mathematical Practice 5 and 6: using appropriate tools to solve mathematical problems with precision (NGA Center & CCSSO, 2010). This project also supported Standard…

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…

Life in the twenty-first century requires education to integrate knowledge, attitudes, skills, and mastery of information and communication technology (ICT). An example of the skills needed in the twenty-first century is computational thinking. This study aims to develop computational thinking-skill tasks on numbers and arithmetic based on the…

Gifted students' often go unchallenged in the classroom, and this lack of tailored instruction can lead to decreased motivation, which, in turn, influences underachievement, which is a significant concern since these children, theoretically, should be our highest achievers. This 4-week (i.e., eight instructional days) semi-randomized,…

The use of metacognitive and self-regulated strategies is a potential predictor of problem-solving skills and self-efficacy. However, this potential needs to be seen at the level of knowledge and experience of various attributes and forms of activity. This research aims to see the interaction effect of using metacognitive and self-regulated…

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…

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)…