scholarly journals Teachers’ Use of Technology Affordances to Contextualize and Dynamically Enrich and Extend Mathematical Problem-Solving Strategies

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 793
Author(s):  
Manuel Santos-Trigo ◽  
Fernando Barrera-Mora ◽  
Matías Camacho-Machín
Keyword(s):  
Problem Solving ◽  
High School Teachers ◽  
Digital Technology ◽  
Dynamic Models ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Teachers ◽  
Use Of Technology ◽  
Technology Affordances ◽  
Problem Solving Strategies

This study aims to document the extent to which the use of digital technology enhances and extends high school teachers’ problem-solving strategies when framing their teaching scenarios. The participants systematically relied on online developments such as Wikipedia to contextualize problem statements or to review involved concepts. Likewise, they activated GeoGebra’s affordances to construct and explore dynamic models of tasks. The Apollonius problem is used to illustrate and discuss how the participants contextualized the task and relied on technology affordances to construct and explore problems’ dynamic models. As a result, they exhibited and extended the domain of several problem-solving strategies including the use of simpler cases, dragging orderly objects, measuring objects attributes, and finding loci of some objects that shaped their approached to reasoning and solve problems.

scholarly journals Pedagogies and Didactic of Junior High School Teachers on Learning Process on Mathematical Problem Solving

2021 ◽  
Vol 13 (2) ◽  
pp. 807-821
Author(s):  
Yulyanti Harisman ◽  
Muchamad Subali Noto ◽  
Wahyu Hidayat ◽  
Mhmd. Habibi ◽  
Anny Sovia
Keyword(s):  
High School ◽  
Problem Solving ◽  
High School Teachers ◽  
Junior High School ◽  
Learning Process ◽  
Junior High ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Teachers ◽  
Junior High School Teachers

This study aims to see how the three junior high school teachers are in the learning process of problem-solving. Each teacher has documented their learning process that has been conducted during three meetings. The topic observation materials were Geometry; the materials chosen were because the topic would enable the process of learning about mathematical problem-solving. Videos of the learning process would be analyzed to see how the depth and breadth of pedagogical and didactic aspects of each teacher. The type of this research is descriptive research by using the study cases method. Based on the finding of the research, it was obtained a theory that suggested three categories of the depth of didactic and pedagogical aspects of teachers in the process of solving mathematical problems. These three categories are named in this paper with good, very good, and excellent categories. These three categories will be explained detail in this paper.

scholarly journals Students Motivation and Mathematical Problem Solving Enhancement through SFAE (Student Facilitator and Explaining) in Problem-Solving Strategies

2020 ◽  
Vol 3 (2) ◽  
pp. 52
Author(s):  
Trisnawati Trisnawati ◽  
Wanda Nugroho Yanuarto
Keyword(s):  
Action Research ◽  
Problem Solving ◽  
Mathematical Problem ◽  
Learning Motivation ◽  
Mathematical Problem Solving ◽  
Average Percentage ◽  
Qualitative And Quantitative ◽  
Class Viii ◽  
Problem Solving Strategies ◽  
Student Test

This study was employed to enhance learning motivation and mathematical problem-solving abilities of class VIII A students of SMP Negeri 7 Purwokerto through SFAE learning with problem-solving strategies. The subjects of this study were 31 students of class VIII A SMP Negeri 7 Purwokerto. This study is a Classroom Action Research (CAR), which was conducted collaboratively and participative. The action research was carried out in 3 cycles, with each cycle consisting of 2 meetings. Students were given a questionnaire to measure learning motivation and a test to measure their mathematical problem-solving abilities at the end of each cycle. Data collection techniques in this study include observation, questionnaires, tests, and documentation. Data analysis was carried out by descriptive qualitative and quantitative. The finding showed that implementing of SFAE learning with problem-solving strategies could increase students’ learning motivation and mathematical problem-solving abilities. The study found that (1) The average percentage of the overall learning motivation questionnaire is steadily increased from 61.71% in cycle one to 68.10% in cycle two and 76.03% in cycle three. (2) The average percentage of student tests for problem-solving abilities in cycle one also significantly increases from 35.21% to 53.20% in cycle two and 79.61% in cycle three. The average student test rate for each indicator of problem-solving ability has met the study’s success criteria.

scholarly journals Teaching Strategies for Mathematical Problem-Solving through the Lens of Secondary School Teachers

TEM Journal ◽  
2021 ◽  
pp. 743-750
Author(s):  
Afiqah Hamizah Noor Ishak ◽  
Sharifah Osman ◽  
Chiang Kok Wei ◽  
Dian Kurniati
Keyword(s):  
Problem Solving ◽  
Secondary School ◽  
Thematic Analysis ◽  
Teaching Strategies ◽  
Secondary School Teachers ◽  
Mathematical Problem ◽  
Structured Interview ◽  
Mathematical Problem Solving ◽  
School Teachers ◽  
Teaching Problem

Many studies have been conducted on problem-solving but only a small number of studies emphasized the strategies of teaching problem-solving. This paper explores the teaching strategies for mathematical problem-solving in a secondary school in Johor, Malaysia. It involves a qualitative study in which a semi-structured interview was conducted with mathematics teachers. Data were analyzed using a sixstep thematic analysis. The results can be viewed from three contexts of findings, namely the teaching strategies, the problems faced by teachers, and the solutions to overcome the problems. The findings revealed that there are teachers who have implemented personal teaching strategies, namely the Easy-Maths Model and the Cut-Stop-Solve Model to effectively teach mathematical problem-solving. The findings also explained some problems in teaching mathematical problem-solving, whereby students’ weaknesses in basic mathematics emerged as the main drawback. This study provides useful information to teachers on the different strategies for teaching mathematical problem-solving.

scholarly journals Examples of Problem-Solving Strategies in Mathematics Education Supporting the Sustainability of 21st-Century Skills

2020 ◽  
Vol 12 (23) ◽  
pp. 10113 ◽  
Author(s):  
Zsuzsanna Katalin Szabo ◽  
Péter Körtesi ◽  
Jan Guncaga ◽  
Dalma Szabo ◽  
Ramona Neag
Keyword(s):  
Problem Solving ◽  
21St Century ◽  
21St Century Skills ◽  
Theoretical Foundation ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Classroom Activities ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Critical Literature

The overall aim of education is to train proactive, motivated, and independent citizens to face and overcome continuous challenges. Critical thinking—finding solutions to problems—is of primary importance in the 21st century to handle challenging situations and deal with obstacles in careers. A critical literature review approach was used to assess, critique, synthesizes, and expand the theoretical foundation of the topic. Teaching mathematical problem-solving is an efficient way to develop 21st-century skills and to give cross-curricular experiences with real-world meaning to learners. Concrete examples were presented to prove that Pólya’s heuristic could be used in a broader context to help learners acquire the modern skills needed to succeed in their careers. By including in the learning process and practicing specific methods for solving mathematical problems, students could learn a way of thinking to approach and solve problems successfully in a broader context in life. The paper’s outcome provides teachers and educators with methods, learning models, and strategies for developing 21st-century skills in students at all levels during classroom activities.

Sign in / Sign up

Export Citation Format

Share Document