One of the well-known approaches to creativity differentiates between creative person, process, product, and press. In the study presented in this paper we focus on creative process and product associated with Problem Posing through Investigation (PPI) by experts in mathematical problem solving. We link the creative process to creativity of PPI…

The book that inspired millions of educators to refine their approach to teaching returns for an all-new third edition. Built on a more rigorous research base and updated to emphasize student diversity, equity, and inclusion, "The New Classroom Instruction That Works" offers a streamlined focus on the 14 instructional strategies proven…

This study was undertaken to investigate the progress in operational scientific literacy skills through demonstrating cognition associated with undertaking scientific processes. Scientific literacy is taken here to mean utilising science knowledge and skills, particularly with relevance to creative problem solving and making reasoned decisions in…

This study investigates problem-solving difficulties of novices in a classroom setting, using a German instructional tool, the Fischertechnik kit of approximately 400 parts. In order to analyse the students' thinking processes as they solved the problems, verbal protocol analysis (VPA) was used to record the students'' thinking processes and…

Many educators believe that mathematical investigation involves both problem posing and problem solving, but some teachers have taught their students to investigate during problem solving. The confusion about the relationship between investigation and problem solving may affect how teachers teach their students and how researchers conduct their…

In the advent of the development and mass adoption of the common core state standards for English language arts and mathematics, state and local agencies have now expressed a need to the Council of Chief State School Officers (CCSSO or the Council) for assistance as they upgrade existing social studies standards to meet the practical goal of…

The primary concern in current interaction design is focused on how to help users solve problems and achieve goals more easily and efficiently. While users' sufficient knowledge acquisition of operating a product or system is considered important, their acquisition of problem-solving knowledge in the task domain has largely been disregarded. As a…

Research shows that mental representation such as analogical reasoning is a fundamental cognitive tool for design problem solving (Daugherty & Mentzer, 2008; Hey, Lensey, Agogino, & Wood, 2008; Lewis, 2008). Not much is known, however, about the way students and professional engineers actively generate and change their mental representation when…

In the present article, we articulate three assumptions underlying theories proposing that restructuring processes play a key role in insightful problem solving: representational difficulty, representational change, and discontinuity in solution processes. We argue that these assumptions need empirical validation to justify the proposition of…

In 2006, the authors began a project to understand what happens in middle school technology education classrooms in order to document the goals that technology education teachers pursue, the instructional strategies they use to teach children to meet these outcomes, the measures they use to assess achievement of these goals, and the learning…

In his 1979 "Human Development" article reprinted in this anniversary issue, James Wertsch presented an approach to genetic analysis of the shifting regulation of problem-solving behavior in early childhood. In my reflections on Wertsch's seminal contribution, I discuss ways that subsequent inquiry built upon ideas he elaborated in the…

This study investigated five ability tests related to the water-jug problem. Previous analyses identified two processes used during solution: means-ends analysis and memory of visited states. Subjects were 240 undergraduate psychology students. A real-time computer system presented the problem and recorded responses. Ability tests were paper and…

This essay examines flaws in the standard hypothetical-deduction inquiry model and offers another quite different model of inquiry, the multiple-completing model, for use in the school classroom. In positing this new model of inquiry the assumption has been made that a pedagogical inquiry model need not necessarily be an accurate reflection of…

Presents two seasonally related investigations involving arithmetic series to develop critical thinking: (1) the number of candles needed for the eight nights of Hanukkah, and (2) the number of presents given during "The Twelve Days of Christmas." Students also calculated the amount of money needed to buy all the presents. (MDH)

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…