Two of the teachers' knowledge models most widely used in the literature are the Mathematical Knowledge for Teaching (MKT) and the Knowledge Quartet (KQ). We develop an analysis of the limitations of the knowledge required for teaching problem-solving published during 1990-2018 which includes these models. This analysis revealed that MKT takes…

Infusing five processes into assignments can help students hone the skills they'll need to address complex problems. The world students will enter is full of complex, unpredictable problems--and students will need sophisticated thinking skills to cope. The authors unpack five thinking processes students need to internalize through opportunities in…

The teaching guides that complement textbooks have key importance in the assessment of competence in problem solving, because these materials contain the assessment tools that teachers frequently use to quantify the achievements of their students. In this paper, we set two aims: to analyze which curriculum contents are given priority in the…

This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.

This study aims to improve the ability of high-level thinking by developing learning models based on problems in senior high school students. The type study is research development. The subject of dissemination consists in 3 district/city in North Sumatera, namely: SMK Negeri 6 Medan, MAN Deli Serdang Distric and SMA Yapim Taruna Langkat Distric,…

This paper reports on the findings from individual interviews and focus group discussions involving six teachers implementing the Singapore Mathematics Curriculum (SMC) in the Foundation Phase (Grade R to Grade 3) in a school in South Africa. The interviews presented an opportunity to explore teachers' experiences with their attempts to use the…

Every day students from across the United States enter their math classrooms, take their seats, sit passively as their teachers teach the content, and then go home only marginally prepared to solve the problems their teachers assigned. Although the challenges of teaching are universal and as old as Methuselah, the advantage today is that educators…

The steps involved in creative problem solving (CPS) are described, and suggestions are made for incorporating CPS into instruction for gifted and talented students. (CL)

The third in a series of six articles on the use of different models for developing creativity and instructional materials focuses on the sociodrama model. (SBH)

The final segment in a series of three articles presents specific strategies for systematically developing problem-solving experiences for learning disabled students in mathematical curricula. For the other two articles, see EC 114 635 and EC 113 270.

The article presents a coping model for helping gifted children which includes six steps, such as recognizing the problem, designing and investigation, and finding a possible solution for use in helping gifted children deal with stress. (PHR)

Increased interest in mathematical problem solving and in the development of problem-solving ability have demanded that mathematics educators give greater attention to problem-solving instruction. A four-step model for solving problems is followed by sets of suggestions for instructional use. (MP)

Presents four guidelines for teaching quantitative problem-solving based on research results: analyze difficulties of students, develop a system of heuristics, select and map key relations, and design instruction with proper orientation, exercise, and feedback. Discusses the four guidelines and uses flow charts and diagrams to show how the…

The use of a group process approach to social problem solving with 32 12- and 13-year-old hearing impaired adolescents is described. It is explained that the classroom meetings lasted about 15 minutes and that the initial sessions focused on student's reactions to the class bully. The roles of the teacher in the group are discussed. (PHR)

The article suggests ways parents and teachers can help gifted, talented, and creative children to learn about the future and plan careers. (DLS)