Comparison of Two Instructional Strategies for Teaching the Solution of Verbal Problems

1975 ◽  
Vol 6 (3) ◽  
pp. 170-178
Author(s):  
Otto C. Bassler ◽  
Morris I. Beers ◽  
Lloyd I. Richardson

Few topics in mathematics present as much difficulty or elicit as many conflicting opinions as the teaching of problem solving. Problem solving occupies a central role in the teaching and learning or mathematics and helps to relate mathematics to other subject areas as well as to the physical world. The importance of problem solving should mean that a significant part of classroom activity is aimed at developing the student's ability to solve problems. Yet Stilwell (1967) found that only 3% of all time spent on problem-solving activity was devoted to developing a method for solving problems. Stilwell also found that only 7% of problem-solving activity was devoted to looking back at a problem or ahead to its implications.

2017 ◽  
Vol 6 (4) ◽  
pp. 201 ◽  
Author(s):  
Thapanee Seechaliao

The purpose of the study focused on the instructional strategies that support creation of creative and innovative education. The sample for this study consisted of 11 experts in the field of instructional strategies that support innovation of education. Among them, five were specialists in design and development of teaching and learning, three were in technology and innovational education, and the other three were in the design and development of innovative teaching. Research instruments used in this study were three sets of interview questions designed for those specialists in their own expertise. Collected data was analyzed and categorized into key issues and themes based on literature. The results were presented through the form of descriptive analysis. The findings revealed that instructional strategies which support the creation of creative and innovative education should focus on system approach. The instructional strategies usually based on design based learning, problem solving, creative problem solving, creative thinking, research based learning, problem based learning, project based learning, science, or innovative teaching process could lead to innovative education creatively. Teaching that involves practicalities should also be focused. These instructional strategies have common elements and processes: problems in the beginning, solutions findings, testing, and evaluation. Also, using a variety of stimulating ideas to find possible solutions to the problems facilitates brainstorming and helps learners think about new ideas. Results also showed that instructional strategies using questions, classroom discussion, self-directed study, inductive and deductive thinking, media or social media make students engage students in learning activities and create innovation in learning.


Author(s):  
Ana Queli Reis ◽  
Cátia Maria Nehring

Resumo Este artigo objetiva apresentar um panorama sobre a contextualização através de uma meta análise de pesquisas que tratam deste conceito. Consideramos pesquisas que abordam a contextualização a partir de sua proposição pelas políticas públicas, através de documentos, livros didáticos e avaliações, bem como as concepções e práticas desenvolvidas por professores e pesquisadores da educação matemática. As análises evidenciam um distanciamento entre o que é compreendido epistemologicamente e a prática em sala de aula. A fragilidade de entendimentos sobre o que é contextualização tem limitado o ensino à resolução de problemas e aplicação, simplificando conceitos no processo de ensino e aprendizagem por não enfatizarem o processo de abstração decorrente da contextualização. Abstract This paper aims to present an overview of the contextualization through a meta-analysis of researches, which deal with this concept. We consider researches that address the contextualization from its proposition by public policies through documents, textbooks and assessments, as well as the conceptions and practices developed by teachers and researchers of mathematics education. The analyses have shown a gap between what is epistemologically understood and practice in the classroom. The weakness in understanding what is contextualization has limited teaching to problem solving and application, simplifying concepts in the process of teaching and learning due to not emphasizing the abstraction process arising from the contextualization.


The utilization of teaching aids is crucial in enhancing students’ mathematical process skills. However, teachers give less accentuation on this aspect of usage which leads to students’ low competence in mathematical process skills. The purpose of this study was to determine the effectiveness of a developed teaching aids, in particular, a Smart Kit in enhancing mathematical process skills and achievement among selected primary school students in Hulu Kinta, Perak. The experimental method was used in this study. Cluster sampling was used to select the samples. The samples were divided into two groups, the control and treatment groups which each consisted of 36 respondents. The treatment group was engaged with the developed Smart Kit while the students in the control group followed the conventional method of teaching and learning. Measurement and Geometry topics at primary school level were selected and students’ mathematical process skills were assessed based on Malaysia Assessment and Curriculum Standard Documents. The findings revealed that there was a significant difference in problem solving, reasoning and connecting skills between the control group and the treatment group. Furthermore, the mathematical achievement of the treatment group was higher than the control group. In conclusion, the utilization of the developed Smart Kit enhanced students’ problem solving, reasoning and connecting skills, and improved mathematical achievement. In implicative insinuation, the use of the developed Smart Kit can help teachers and students in teaching and learning processes specifically on the topics of Measurement and Geometry.


2018 ◽  
Vol 4 (1) ◽  
pp. 2-12
Author(s):  
Anna Bargagliotti ◽  
Dorothea Herreiner ◽  
Jefrey A. Phillips

The April 2017 National Science Foundation-funded Breaking the Boundaries in STEM Education conference brought together Southern California science, technology, engineering and mathematics (STEM) faculty to explore equity, problem-solving, and computing in an interdisciplinary manner. Two main research questions guided the overall scope of the conference: (1) What are the common threads across disciplines to approach the teaching and learning of skills that are relevant in STEM? (2) What are the challenges and barriers that need to be overcome in order to foster collaboration across disciplines to impact the teaching and learning of skills relevant in STEM? We describe the background of the conference and provide an overview of the questions addressed.


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.


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