1089: An Example of Generating Problems

1984 ◽  
Vol 77 (1) ◽  
pp. 14-19
Author(s):  
Rick N. Blake

Emphasis on problem solving in mathematics has gained considerable attention in the last few years. A joint position paper on basic mathematical skills by the National Council of Teachers of Mathematics and the National Council of Supervisors of Mathematics, in the February 1978 Mathematics Teacher, stated that “learning to solve problems is the principal reason for studying mathematics.”

1988 ◽  
Vol 81 (6) ◽  
pp. 429-434
Author(s):  
Stanley F. Taback

Mathematics educators have always viewed problem solving as a preferential objective of mathematics instruction. It was not, however, until the National Council of Teachers of Mathematics published its position paper An Agenda for Action: Recommendations for School Mathematics of the 1980s that problem solving truly came of age. As its very first recommendation, the Council (1980) directed that “problem solving be the focus of school mathematics in the 1980s” and proclaimed that “performance in problem solving will measure the effectiveness of our personal and national possession of mathematical competence.”


1982 ◽  
Vol 29 (5) ◽  
pp. 15-17
Author(s):  
Kil S. Lee

In the past twenty years, problem solving has received much attention from mathematics educators. Inclusion of imaginative problems in school mathematics curricula was recommended in the 1963 Cambridge Conference report. Problem solving was the first of the ten basic mathematical skills identified by the National Council of Supervisors of Mathematics in 1976 and the position of the NCSM was endorsed by the National Council of Teachers of Mathematics in 1978. “That problem solving be the focus of school mathematics in the 1980s” is the first of eight recommendations expressed in An Agenda for Action: Recommendations for School Mathematics of the 1980s published by the NCTM.


2021 ◽  
Vol 22 (1) ◽  
pp. 63
Author(s):  
Hafriani Hafriani

National Council Of Teacher Of Mathematics (NCTM) said that learning Mathematics goals develop five basic abilities, namely problem solving, communication, connection, reasoning, and representation. These five abilities are essential to be considered and assured its accomplishment. Thus, developing these five abilities cannot be separated because they contribute to one another. While in fact, these five Mathematics abilities of students are still low. This research aimed to know the development of these five basic Mathematical abilities through structured tasks using the blog and explaining the importance of basic Mathematical skills in math learning and how Mathematics builds basic math skills to students. One of them is to implement a blog-assisted structured task method. This research sample was five classes from 11 class X MAN 1 Aceh Barat and 1st grade from 2nd grade X SMA Unggul Tunas Bangsa, Aceh Barat Daya selected with random sampling. The data collection instrument was a written test of the five basic Mathematical abilities and interviewing few students. The Data was analyzed using T-Test. The results of the analysis showed that not all basic abilities developed. From these five basic mathematical abilities, three basic Mathematical abilities developed, namely problem solving, connections, and communication. In comparison, the other two capabilities did not develop, namely reasoning and representation.


2018 ◽  
Vol 12 (2) ◽  
pp. 77-97
Author(s):  
Ana Kuzle

Problem solving in Germany has roots in mathematics and psychology but it found its way to schools and classrooms, especially through German Kultusministerkonferenz, which represents all government departments of education. For the problem solving standard to get implemented in schools, a large scale dissemination through continuous professional development is very much needed, as the current mathematics teachers are not qualified to do so. As a consequence, one organ in Germany focuses on setting up courses for teacher educators who can “multiply” what they have learned and set up their own professional development courses for teachers. However, before attaining to this work, it is crucial to have an understanding what conceptions about teaching problem solving in mathematics classroom mathematics teacher educators hold. In this research report, I focus on mathematics teacher educators’ conceptions about problem solving standard and their effects regarding a large-scale dissemination.


Author(s):  
Anu Laine

This article is based on my plenary talk at the joint conference of ProMath and the GDM working group on problem-solving in 2018. The aim of this article is to consider teaching and learning problem-solving from different perspectives taking into account the connection between 1) teacher’s actions and pupils’ solutions and 2) teacher’s actions and pupils’ affective reactions. Safe and supportive emotional atmosphere is base for students’ learning and attitudes towards mathematics. Teacher has a central role both in constructing emotional atmosphere and in offering cognitive support that pupils need in order to reach higher-level solutions. Teachers need to use activating guidance, i.e., ask good questions based on pupils’ solutions. Balancing between too much and too little guidance is not easy.


2020 ◽  
Vol 10 (2) ◽  
pp. 246
Author(s):  
Juhairiah Juhairiah

This study presents the problem that is solving math story question is a difficulty for students so the teacher uses a problem solving model and students will find it easier to understand the meaning of the story question and be able to solve them. The research design is qualitative and descriptive approach. The subjects in this study were the principal, student guardians of grade 4 (mathematics teacher), and students. Data collection techniques were in the form of interviews, observation, and documentation. The results of this study indicate that by planning, implementing, evaluating the use of a good problem solving model will be able to solve problems, with the obstacles and efforts will be get a good result.   


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