In an increasingly data-driven society, making decisions with data is a requirement not only for research scientists but also for navigating life more generally (Kjelvik & Schultheis, 2019). An informed citizenry must be prepared to discover patterns, predict outcomes, make decisions with data, and evaluate data-based claims for legitimacy and…

The "remembered success effect" (Finn, 2010) refers to the finding that challenging academic tasks that start or end with extra opportunities for success are preferred to challenging tasks that do not include these opportunities. Work on remembered success has primarily been done with adults. We assessed (in a preregistered study)…

Attending to students' thinking and using it to inform instruction has been shown to be an effective and equitable teaching practice. Research on teachers' noticing of thinking conceptualizes noticing as a cognitive process, while work on noticing for equity treats noticing as culturally situated but primarily focuses on participation. Drawing on…

Representations are key to mathematical activities and meaning-making processes as they are part of modeling, connecting, communicating, and understanding mathematical ideas and concepts. The current study sought to examine a group of novice algebra learners' interactions with different representations from an onto-semiotic approach. A case study…

We report on a case study of eight grade 5 to 6 students (ages 12-14) involved in a three-day "digital-making summer camp" focused on mathematical problem-solving through block-based programming combined with programmable electronics. Data analysis focused on the computational thinking (CT), mathematics, and problem-solving challenges…

This study used the RBC+C model to reveal the abstractions of the 6th-grade students in the process of transition to the parallelogram area formula. Also, constructing parallelogram area information was employed as a teaching experiment based on the basic interpretive approach, one of the qualitative research methods. The study participants…

Middle school math students are underperforming on teacher-created assessments and assignments, state assessments, and nationally normed assessments, such as the Measures of Academic Performance (MAP) and the National Assessment of Education Progress (NAEP). Only 35.7% of sixth graders in South Carolina scored "meets or exceeds…

The present study had the purpose of investigating empirically the structure and relationships among mathematical imagination, mathematical knowledge and mathematical mindset. The three factors are constituent parts of the Innovation Engine model by Seelig (inGenius: A Crash course on creativity, HarperOne-2012) and can influence creative…

Through a constructivist teaching experiment, we studied how a 6th-grade student (Adam, pseudonym) struggling in mathematics may reorganize his available additive scheme (count-up-to) into a more advanced scheme involving the decomposition of composite units (break-apart-make-ten, or BAMT). First, we posed a task that led us to infer Adam was yet…

The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional…

Technological mediums such as dynamic environments with drag-and-drop features have been considered promising agents in helping students explore and generate conjectures about mathematical concepts. This study investigated the dragging modalities sixth and seventh-grade students use in solving proportional problems in a dynamic geometry…

Background: Real-world problems are important in math instruction, but they do not necessarily trigger students' task motivation. Personalizing real-world problems by (1) matching problems to students' shared living environment (context personalization) and (2) asking students to pose their own problems (active personalization) might be two…

Mathematics is one of the critical subjects studied worldwide and is a major for all science faculties and careers. However, it is 1 of the subjects in which performance is poor in all educational phases and bands. Therefore, with this research we aimed to consider the use of mother tongue in the learning and teaching of mathematics in schools.…

This research study sought to identify a solution for building fact fluency for middle school aged students identified with LD. After analyzing a 1st-12th grade independent school for students with LD's math curriculum, it was noted that basic fact fluency is not taught after grade five. This has shown to be problematic for students who enroll in…

The present study aimed to test the effect of the problem-posing instruction experimentally based on the extended active learning framework on the development of Turkish middle school sixth-grade students' (N = 19) problem-posing and -solving skills with whole-number operations. The training programme was completed in 13 lessons over a seven-week…