Nationwide, leaders in business and industry have increasingly acknowledged the importance of entrepreneurship. Several areas of the country showcase the importance of entrepreneurship such as Silicon Valley in California where a large number of start-up companies in science, technology, engineering and math (STEM) fields are located. To meet the…

This paper is based on the presumption that teaching multiple ways to solve the same problem has academic and social value. In particular, we argue that such a multifaceted approach to pedagogy moves towards an environment of more inclusive and personalized learning. From a mathematics education perspective, our discussion is framed around…

To improve the quality of education, it is important for teachers to have an understanding of action research. Action research is 'learning by doing', which involves identifying a problem, looking for a plan to resolve it, observing how successful it is and, if not satisfied, trying again. Action research helps educators to be more effective in…

Can you think of a research-supported strategy that simultaneously encourages critical and creative thinking; develops knowledge, skills, and affect; promotes meaningful connection with music; and creates lifelong learners? Problem-based learning (PBL) effectively meets and exceeds these criteria by providing an engaging opportunity for students…

A simple analysis of the learners' academic status at different levels of education shows that these learners have poor performance in probability and statistics subject and they have negative attitude to this subject. Therefore, the aim of this study is to investigate the relationship between the attitude and academic achievement of 134 students…

Through post-observation and general discussions our preservice teachers thought they were asking good questions by asking "why?". While these questions are important, "why?" questions are not always effective, especially when a student responds with "I don't know". Such questioning techniques must be explicitly…

This paper proposes a novel application of knowledge space theory for identifying discrepancies between the knowledge structure that experts expect students to have and the real knowledge structure that students demonstrate on tests. The proposed approach combines two methods of constructing knowledge spaces. The expected knowledge space is…

In this paper we report on a survey designed to test whether or not students differentiated between two different types of problems involving combinations--problems in which combinations are used to count unordered sets of distinct objects (a natural, common way to use combinations), and problems in which combinations are used to count ordered…

Mistakes can be a source of frustration for teachers and students in mathematics classrooms because they reveal potential misunderstandings or a lack of learning. However, increasing evidence shows that making mistakes creates productive pathways for learning new ideas and building new concepts (Boaler 2016; Borasi 1996). Learning through…

Few studies have applied Skinner's (1953) conceptualization of problem solving to teach socially significant behaviors to individuals with developmental disabilities. The current study used a multiple probe design across behavior (sets) to evaluate the effects of problem-solving strategy training (PSST) on the target behavior of explaining how to…

Making as a design-centered learning activity has recently received significant attention in education. We use literacies--how individuals use representations to learn--to explore the STEM literacy practices of experienced designers and makers. Describing makers' representational practices in STEM contexts can inform the design of literacy…

The European Commission Science Hub has been promoting Computational Thinking (CT) as an important 21st century skill or competence. However, „despite the high interest in developing computational thinking among schoolchildren and the large public and private investment in CT initiatives, there are a number of issues and challenges for the…

It is important for students to connect with real life in mathematics courses. The aim of this study is to investigate the activities which are written by prospective primary school teachers in the context of Realistic Mathematics Education. This research is a case study of which data were collected by qualitative methods. The participants of the…

Purpose: This paper aimed to present the design of a teaching module on mathematical problem solving for the upper primary mathematics. Method: The module used Pólya's and Schoenfeld's problem solving models as the theoretical framework. The researchers introduced problem-solving processes through specialized mathematics "practical"…

Research has shown that once a potential solution to a problem has settled into one's mind, it can be difficult to break from the original idea and move in a different direction (Cardoso & BadkeSchaub, 2009; Jansson & Smith, 1991). When designers are given examples (whether as models, photographs, sketches, or drawings), they often fixate…