scholarly journals Tahapan Pemecahan Masalah dengan Diagram Bar pada Soal Cerita

2021 ◽  
Vol 8 (2) ◽  
pp. 108-122
Author(s):  
Wiworo Wiworo
Keyword(s):  
Problem Solving ◽  
Word Problems ◽  
Visual Representation ◽  
Mathematical Expressions ◽  
Learning Mathematics

Word problems are still one of the causes of students' difficulties in learning mathematics. The four stages of problem solving suggested by Polya are: (1) understanding the problem, (2) planning a strategy, (3) implementing the strategy, and (4) checking and interpreting the results. One of the strategies to solve word problems that can be applied is by making diagram. The bar diagram model is a form of visual representation that can help students to solve word problems. The use of bar diagram in solving word problems can be a strategy for students to bridge the transition from understanding problems and making mathematical expressions. The process of creating a bar diagram model represents a visualization of known and unknown information and helps to identify how this information can be used to solve the problems. This paper discusses problem solving stages using bar diagram to solve word problems.

ANALYSIS OF METHODOLOGICAL APPROACHES TO PROBLEM SOLVING SKILL IN MATHS TEXTBOOKS FOR GRADES 5-6

2019 ◽  
Vol 2 ◽  
pp. 255
Author(s):  
Elfrīda Krastiņa ◽  
Anita Sondore ◽  
Elga Drelinga
Keyword(s):  
Problem Solving ◽  
Text Analysis ◽  
Word Problems ◽  
Working Life ◽  
Mathematics Word Problems ◽  
Learning Mathematics ◽  
Solution Design ◽  
Methodological Approaches

One of the most important cross-cutting skills in the competence approach, which is developed in learning mathematics, is problem-solving. Solving mathematics word problems with practical content includes both text analysis, visualization of content, planning, and searching for different solution steps, argumentation of one’s opinion, solution design, as well as research. During his working life Professor J. Mencis (senior) has developed a methodological system of word problems. What is the offer of other authors? The aim of the article is to analyse the implementation of methodological approaches by various authors in the 5-6th grade maths textbooks, which develop the problem-solving skill, in order to find out the strengths and weaknesses of these methodological solution.

Schema-Based Instruction Implemented Under Routine Conditions

2019 ◽  
Author(s):  
Corey Peltier ◽  
Mindy E Lingo ◽  
Faye Autry-Schreffler ◽  
Malarie Deardorff ◽  
Leslie Mathews ◽  
...  
Keyword(s):  
Problem Solving ◽  
Word Problems ◽  
Mathematical Problem ◽  
Functional Relation ◽  
Probe Design ◽  
Resource Room ◽  
Group Settings ◽  
Intervention Protocol ◽  
Prior Literature ◽  
Based Instruction

Students identified with a specific learning disability (SLD) experience difficulty with mathematical problem solving. One specific intervention identified as a promising practice for students with a SLD is schema-based instruction (SBI). The current projects aimed to tests the efficacy of SBI under routine conditions. This extends prior literature by (a) using a teacher as the implementer, (b) allowing flexibility in the intervention protocol, (c) condensing the duration of intervention sessions, and (d) providing instruction in small group settings. In addition, we examined student problem solving performance on word problems requiring two-steps and combined schema structures. We used a multiple-probe design across three groups of fifth-grade participants (n = 7) receiving supplemental instruction in a resource room setting. Results indicated a functional relation between SBI and problem-solving performance for all students on simple structure word problems, with the magnitude of effects varying across cases. The NAP, Tau, and BC-SMD effect sizes were used to quantify effects. Implications were discussed in regard to systematic replication and conditions that may impact fidelity.

scholarly journals Students’ suspension of sense making in problem solving

ZDM ◽  
2021 ◽  
Author(s):  
Gemma Carotenuto ◽  
Pietro Di Martino ◽  
Marta Lemmi
Keyword(s):  
Problem Solving ◽  
Qualitative Study ◽  
Word Problem ◽  
Word Problems ◽  
Mathematical Problem ◽  
Critical Issue ◽  
Mathematical Problem Solving ◽  
Sense Making ◽  
Mathematical Problems

AbstractResearch on mathematical problem solving has a long tradition: retracing its fascinating story sheds light on its intricacies and, therefore, on its needs. When we analyze this impressive literature, a critical issue emerges clearly, namely, the presence of words and expressions having many and sometimes opposite meanings. Significant examples are the terms ‘realistic’ and ‘modeling’ associated with word problems in school. Understanding how these terms are used is important in research, because this issue relates to the design of several studies and to the interpretation of a large number of phenomena, such as the well-known phenomenon of students’ suspension of sense making when they solve mathematical problems. In order to deepen our understanding of this phenomenon, we describe a large empirical and qualitative study focused on the effects of variations in the presentation (text, picture, format) of word problems on students’ approaches to these problems. The results of our study show that the phenomenon of suspension of sense making is more precisely a phenomenon of activation of alternative kinds of sense making: the different kinds of active sense making appear to be strongly affected by the presentation of the word problem.

Intensive Word Problem Solving for Students With Learning Disabilities in Mathematics

2021 ◽  
pp. 105345122110475
Author(s):  
Bradley Witzel ◽  
Jonté A. Myers ◽  
Yan Ping Xin
Keyword(s):  
Learning Disabilities ◽  
Problem Solving ◽  
Word Problem ◽  
Word Problems ◽  
Mathematics Performance ◽  
Students With Learning Disabilities ◽  
Word Problem Solving ◽  
Model Based ◽  
Students With Ld

State exams frequently use word problems to measure mathematics performance making difficulties with word problem solving a barrier for many students with learning disabilities (LD) in mathematics. Based on meta-analytic data from students with LD, five empirically validated word-problem strategies are presented with components of model-based problem solving (MBPS) highlighted.

Discovering mathematical knowledge by students as the way to successful learning of mathematics

2020 ◽  
pp. 317-332
Author(s):  
Anna Rybak
Keyword(s):  
Problem Solving ◽  
Mathematics Teaching ◽  
Theoretical Background ◽  
Mathematics Problem Solving ◽  
Whole Process ◽  
Learning Mathematics ◽  
Creative Learning ◽  
Set Up ◽  
The University

Students in many countries have problems learning mathematics. Many students do not like mathematics. It is also a problem for teachers. The question has to be answered: Why does math education cause so many problems? We have set up the Centre for Creative Learning of Mathematics at the University of Bialystok (Poland). It is a place where we try to create appropriate athmosphere and circumstances for students of all ages to become active discoverers of mathematics, not just passive recipients of knowledge from books or teachers. As a theoretical background we took ideas from Tamás Varga, Zofia Krygowska, the theory of constructivism, the strategy of functional mathematics teaching and problem-solving method. Lessons and workshops for students in our Centre are based on the combination of the following ideas: The participants solve practical or theoretical problems (problem solving method) and carry out concrete, representative and abstract activities (strategy of functional mathematics teaching by Z. Krygowska) which help them discover and formulate knowledge (constructivism). The whole process corresponds very well to some of T. Varga's important ideas or his conviction of the main objectives of mathematics teaching: Students explore the knowledge themselves and think independently. The subject of mathematics is transformed into a thought formulation process in which students turn from the role of passive recipients to the active knowledge creation. Classification: A80. Keywords: T. Varga, Z. Krygowska, constructivism, strategy of functional teaching of mathematics, problem solving method, creative learning

scholarly journals Teachers’ pedagogical content knowledge in teaching word problem solving strategies

ZDM ◽  
2019 ◽  
Vol 52 (1) ◽  
pp. 165-178 ◽  
Author(s):  
Csaba Csíkos ◽  
Judit Szitányi
Keyword(s):  
Problem Solving ◽  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Word Problem ◽  
Word Problems ◽  
Teaching Practice ◽  
Word Problem Solving ◽  
Pedagogical Content ◽  
Explicit Teaching ◽  
Problem Solving Strategies

AbstractThis research addressed Hungarian pre-service and in-service (both elementary and lower secondary) teachers’ pedagogical content knowledge concerning the teaching of word problem solving strategies. By means of a standardized interview protocol, participants (N = 30) were asked about their judgement on the difficulty of teaching word problems, the factors they find difficult, and their current teaching practice. Furthermore, based on a comparative analysis of Eastern European textbooks, we tested how teachers’ current beliefs and views relate to the word problem solving algorithm described in elementary textbooks. The results suggest that in the teachers’ opinion, explicit teaching of a step-by-step algorithm is feasible and desirable as early as in the 1st school grade. According to our results, two approaches (namely, paradigmatic- and narrative-oriented) concerning how to teach the process of word problems solving, originally revealed by Chapman, were found. Furthermore, teachers in general agreed with the approach taken in the textbooks on the subject of what kinds of word problems should be used, and that explicit teaching of word problem solving strategies should be introduced by using simple, routine word problems as examples.

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