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…

In this article, we focus on pairing instructional approaches with a strong evidence base in math with evidence-based practices for students with extensive support needs. To do so we draw on two sources. We use the 2021 Practice Guide from the Institution for Education Sciences (Fuchs et al., 2021). In addition, we use identified evidence-based…

This study explored how instructional guide documents and high school engineering teachers understand the concept of mindset and the instructional practice of feedback as students engage in classroom problem-solving activities. From data analysis, several important conclusions were made. High school engineering teachers create a classroom climate…

Teacher education in higher education has been of great interest as a research area in recent years. The discussion focuses on topics such as tertiary pedagogies, professional development, instructional innovative practices as well as technology and instruction. Following these topics, the contributors of this collected volume deal with English as…

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…

Instructional tips help educators carry out recommendations contained in IES Educator's Practice Guides. The tips translate these recommendations into actionable approaches that educators can try in their classrooms. These tips are based on a practice guide authored by Sybilla Beckmann, Mark Driscoll, Megan Franke, Patricia Herzig, Asha Jitendra,…

Instructional tips help educators carry out recommendations contained in IES Educator's Practice Guides. This summary describes the research evidence that supports the use of the instructional tips in classrooms and is based on a practice guide authored by Sybilla Beckmann, Mark Driscoll, Megan Franke, Patricia Herzig, Asha Jitendra, Kenneth R.…

Concepts of Mathematics (21-127 at CMU) is a course designed to introduce students to the world of abstract mathematics, guiding them from more calculation-based math (that one learns in high school) to higher mathematics, which focuses more on abstract thinking, problem solving, and writing "proofs." This transition tends to be a shock:…

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 Problems of the Week (PoWs) are creative, non-routine math challenges for elementary-, middle-, and high-school-level students. They are designed to stimulate student interest in problem solving and to encourage them to communicate their mathematical thinking. This Teacher's Guide describes program features and provides strategies for…

THE EFFECTIVE USE OF QUESTIONING IN THE TEACHING OF ELEMENTARY SCHOOL SCIENCE IS DISCUSSED IN THIS BULLETIN. SAMPLE QUESTIONS ARE USED TO ILLUSTRATE (1) WAYS IN WHICH KEY WORDS AFFECT PUPIL INVESTIGATIONS AND (2) PATTERNS OF QUESTIONING THAT RESULT IN STUDENT DECISION-MAKING AND PUPIL-DIRECTED PROCEDURES. A BRIEF REVIEW OF THE COGNITIVE AND…

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)

An introduction for teachers to Tools for Change, a new course in problem-solving, is provided by this sourcebook. The major assumptions and rationale underlying the course are explained and the most significant concepts involved--such as heuristics and problem-solving--are scrutinized. Examples of problems and process-oriented problem-solving are…