Elementary school students often exhibit a variety of conceptions associated with algebraic thinking that their teachers fail to recognize or understand. It is crucial that elementary school teachers possess knowledge of the variety of student conceptions and also have abilities to address varying states of conceptions. Otherwise, students who are…

This research study examined the ways participants analyzed students' mathematical thinking in a Teaching Mathematics with Technology Massive Open Online Course for Educators. 179 discussion forum posts made by 35 highly engaged participants were analyzed to determine the focus of their attention. If the focus of the post was student thinking, the…

Students often have the misconception that mathematics involves reading the problem, staring at the page, and then writing down an answer. With more than twenty years of experience working with students in eighth-grade math through college calculus, the author has been increasingly interested in how she can foster problem-solving skills in her…

The shortage of graduates in Science, Technology, Engineering and Mathematics (STEM) has led to numerous attempts to increase students' interest in STEM. One emerging approach that has the potential to improve students' motivation for STEM is integrated STEM education. Nonetheless, the implementation of this new instructional strategy is not…

This study explores kindergarten students' early notions of mathematical equivalence in the United States. In particular, it uses qualitative methods to examine the understandings children hold about the equal sign prior to formal instruction and how these understandings shift throughout an 8-week classroom teaching experiment designed to develop…

New ideas and inventions are needed in the globalizing world in order that societies can be survived. To achieve this, there is a need for teachers and prospective mathematics teachers who will guide these students, who have creative ideas, make new inventions and generate new ideas in the educational environment where individuals are educated.…

Scientific modeling, the practice of creating models such as "diagrams, analogies, and simulations" (NGSS Lead States 2013) allows students to develop and revise their own representations of the natural world and use them to generate predictions and explanations about scientific phenomenon. Research provides evidence for elementary…

Establishing nuanced interpretations of student thinking is central to formative assessment but difficult, especially for preservice teachers. Learning progressions (LPs) have been proposed as a framework for promoting interpretations of students' thinking; however, research is needed to investigate whether and how an LP can be used to support…

To be awake means to have active attention, particularly the attention to carry a project into effect and execute a plan (Greene, 1977). Additionally, to be wide-awake requires a level of consciousness that provokes reflection and awareness in the quest for meaning, which can in turn contribute to the formation of self and ability to make sense of…

Emphasis on the development of the inner qualities thought to make up pedagogical entrepreneurship and use of such entrepreneurship as a strategy in mathematics teaching and learning could be expected to strengthen students' development of mathematical literacy. This is because problem solving, local cultures and resources, authenticity and action…

This study tested the construct validity, factorial validity, and measurement invariance of the learning gains scale based on survey responses of a large sample (n = 536) of undergraduate students in two colleges at a university in Ethiopia. The analyses were performed through structural equation modeling technique using the stata 13 data analysis…

As described by the National Research Council, science practices reflect, in part, the way science is done. When researchers are developing an explanation for a phenomenon, they are using a combination of knowledge and skills reflected in the science practices. Laboratory-based chemistry courses provide the opportunity for students to move beyond…

Despite the popularity of metacognitive research, and the inclusion of similar concepts in professional guidelines, librarians have not incorporated metacognitive tools into their assessment strategies. This systematic literature review found (1) metacognitive assessments can act as a learning aide in encouraging higher-order thinking; (2)…

Publicly-available datasets, though useful for education, are often constructed for purposes that are quite different from students' own. To investigate and model phenomena, then, students must learn how to repurpose the data. This paper reports on an emerging line of research that builds on work in data modeling, exploratory data analysis, and…

Initial research has shown that simulating data from models created with computer software may enhance students' understanding of concepts in introductory statistics; yet, there is little research investigating students' development of statistical models. The research presented here examines small groups of students as they develop a model for a…