The Interplay Between Mathematical and Computational Thinking in Primary School Students’ Mathematical Problem-Solving Within a Programming Environment

2021 ◽  
pp. 073563312097993
Author(s):  
Zhihao Cui ◽  
Oi-Lam Ng
Keyword(s):  
Problem Solving ◽  
Mathematical Thinking ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Computational Thinking ◽  
Programming Environment ◽  
Primary School Students ◽  
School Students ◽  
Mathematical Concepts ◽  
Block Based

In this paper, we explore the challenges experienced by a group of Primary 5 to 6 (age 12–14) students as they engaged in a series of problem-solving tasks through block-based programming. The challenges were analysed according to a taxonomy focusing on the presence of computational thinking (CT) elements in mathematics contexts: preparing problems, programming, create computational abstractions, as well as troubleshooting and debugging. Our results suggested that the challenges experienced by students were compounded by both having to learn the CT-based environment as well as to apply mathematical concepts and problem solving in that environment. Possible explanations for the observed challenges stemming from differences between CT and mathematical thinking are discussed in detail, along with suggestions towards improving the effectiveness of integrating CT into mathematics learning. This study provides evidence-based directions towards enriching mathematics education with computation.

scholarly journals POLYA’S STRATEGY: AN ANALYSIS OF MATHEMATICAL PROBLEM SOLVING DIFFICULTY IN 5TH GRADE ELEMENTARY SCHOOL

2018 ◽  
Vol 10 (2) ◽  
pp. 140
Author(s):  
Nunuy Nurkaeti
Keyword(s):  
Elementary School ◽  
Problem Solving ◽  
Elementary School Students ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Descriptive Analysis ◽  
Thinking Skills ◽  
School Students ◽  
Mathematical Concepts ◽  
Mathematical Problems

Abstract:. Problem solving is one of ways to develop higher order thinking skills. Strategy of problem solving that can be developed in mathematics learning is Polya's strategy. This study aims to analyze the problem solving difficulties of elementary school students based on Polya strategy. To support this research,descriptive analysis is used on seven elementary school students . The results show that, the difficulty of mathematical problems solving of elementary school students consist of the difficulty of understanding the problem, determining the mathematical formula/concepts that is used, making connections between mathematical concepts, and reviewing the correctness of answers with questions. These happened because the problem presented is in a story problem, that is rarely studied by the students. Students usually solve mathematical problems in a form of routine questions, which only require answers in a form of algorithmic calculations. Abstrak: Pemecahan masalah adalah salah satu cara dalam mengembangkan kemampuan berpikir tingkat tinggi. Salah satu strategi pemecahan masalah yang dapat dikembangkan pada pembelajaran matematik adalah strategi Polya. Penelitian ini bertujuan menganalisis kesulitan pemecahan masalah siswa sekolah dasar berdasarkan strategi Polya. Untuk mendukung penelitian ini digunakan analisis deskriptif pada tujuh orang siswa sekolah dasar. Hasilnya menunjukkan bahwa, kesulitan pemecahan masalah matematik siswa sekolah dasar meliputi, kesulitan memahami masalah, menentukan rumus/konsep matematik yang digunakan, membuat koneksi antar konsep matematika, dan melihat kembali kebenaran jawaban dengan soal. Hal tersebut disebabkan, masalah yang disajikan berupa soal cerita yang jarang dipelajari siswa. Siswa biasanya menyelesaikan masalah matematik berupa soal rutin, yang hanya menuntut jawaban berupa perhitungan algoritmik.

Unraveling the Relationship Between Students’ Mathematics-Related Beliefs and the Classroom Culture

2008 ◽  
Vol 13 (1) ◽  
pp. 24-36 ◽  
Author(s):  
Erik De Corte ◽  
Lieven Verschaffel ◽  
Fien Depaepe
Keyword(s):  
Problem Solving ◽  
Learning Environment ◽  
Mathematical Thinking ◽  
Empirical Studies ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Reciprocal Relationship ◽  
Classroom Culture ◽  
School Students ◽  
Beliefs About Mathematics

Over the past 2 decades the study of students’ (and teachers’) mathematics-related beliefs has gradually received more and more attention from researchers in the field of educational psychology as well as from scholars in the area of mathematics education. In this article positive beliefs about mathematics and mathematics learning are considered as a major component of competence in mathematics. Results of empirical studies are presented showing that primary school students often have negative and/or naive beliefs about mathematics learning, focused on the phenomenon of “suspension of sense-making” in mathematical problem solving. A design experiment is then described in which a learning environment was developed and implemented, which was intended to improve students’ performance in problem solving as well as their mathematics-related beliefs. This and related work support the hypothesis that changes in the classroom culture and practices can foster students’ mathematical thinking and learning as well as their beliefs, but they do not provide a more in-depth understanding of how the interaction processes and patterns in the classroom influence students’ math learning in general and their mathematics-related beliefs in particular. Using a socioconstructivist perspective as a theoretical framework, the article then discusses a recent investigation that precisely attempts to contribute to unraveling the reciprocal relationship and impact between students’ beliefs, on the one hand, and crucial components of the learning environment, especially teachers’ beliefs and the classroom culture, on the other hand. The article concludes with some critical reflections and suggestions for future inquiry.

A Framework for Computational Thinking Dispositions in Mathematics Education

2018 ◽  
Vol 49 (4) ◽  
pp. 424-461 ◽  
Author(s):  
Arnulfo Pérez
Keyword(s):  
Mathematical Thinking ◽  
Mathematics Learning ◽  
Relevant Literature ◽  
Computational Thinking ◽  
Secondary Mathematics ◽  
Mathematical Concepts ◽  
Thinking Dispositions ◽  
Secondary Mathematics Teachers ◽  
Tolerance For Ambiguity ◽  
Epistemic Frame

This theoretical article describes a framework to conceptualize computational thinking (CT) dispositions—tolerance for ambiguity, persistence, and collaboration—and facilitate integration of CT in mathematics learning. CT offers a powerful epistemic frame that, by foregrounding core dispositions and practices useful in computer science, helps students understand mathematical concepts as outward oriented. The article conceptualizes the characteristics of CT dispositions through a review of relevant literature and examples from a study that explored secondary mathematics teachers' engagement with CT. Discussion of the CT framework highlights the complementary relationship between CT and mathematical thinking, the relevance of mathematics to 21st-century professions, and the merit of CT to support learners in experiencing these connections.

scholarly journals Pengaruh pembelajaran pendekatan rigorous mathematical thinking (RMT) terhadap pemahaman konseptual matematis siswa SMP

2017 ◽  
Vol 4 (2) ◽  
pp. 186
Author(s):  
Aan Hendrayana
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Thinking ◽  
Mathematics Learning ◽  
Junior High School Students ◽  
Learning Approach ◽  
School Students ◽  
Mathematical Concepts

Pemahaman Konseptual Matematis (PKM)  memiliki peran penting karena dengan kemampuan ini siswa mudah dalam membangun hubungan untuk memahamai ide dan konsep baru. Kemampuan PKM ini dapat ditumbuh-kembangkan melalui pembelajaran di kelas. Untuk mencapai kecakapan tersebut, pembelajaran perlu memperhatikan keberagaman siswa karena pembelajaran yang mengakomodasi keberagaman menjadi lebih efektif, efesien, dan menarik. Keberagam tersebut dapat berupa Gender (G), Kemampuan Awal Matematika (KAM) dan Gaya Belajar Matematis (GBM) siswa. Salah satu pendekatan pembelajaran yang mengakomodir keberagaman ialah pembelajaran pendekatan Rigorous Mathematical Thinking (RMT). Artikel ini bertujuan untuk mengkaji kemampuan PKM siswa SMP yang memperoleh pembelajaran pendekatan RMT ditinjau dari : a). Gender, b). KAM siswa, dan c). GBM siswa. Penelitian ini merupakan penelitian eksperimen pada siswa SMP di salah satu sekolah di Bandung. Salah satu hasil yang penting adalah dengan pembelajaran ini menjadikan siswa dengan KAM sedang dan rendah dapat mencapai kemampuan yang baik. The Effect of Rigorous Mathematical Thinking (RMT) Learning Approach On Students’ Understanding of Mathematical Concepts AbstractAn understanding of mathematical concepts (PKM) has an important role because with this ability students are easy in building relationships to understand new ideas and concepts. The ability of PKM can be grown-developed through learning in the classroom. To achieve these skills, learning needs to pay attention to the diversity of students because learning that accommodates diversity becomes more effective, efficient, and engaging. Such diversity can be Gender (G), An initial mathematical ability (KAM) and students’ mathematics learning styles (GBM). One approach to learning that accommodates diversity is the Rigorous Mathematical Thinking (RMT) learning approach. This article aims to examine the ability of junior high school students who have learned RMT approach in terms of: a). Gender, b). students’ KAM, and c). students’ GBM. This research is an experimental research on junior high school students in one school in Bandung. One important result is that this learning engages students with medium and low of KAM able to achieve good abilities.

scholarly journals Digital Storytelling Enhancing Chinese Primary School Students’ Self-Efficacy in Mathematics Learning

2021 ◽  
Vol 15 ◽  
pp. 183449092199143 ◽  
Author(s):  
Hannele Niemi ◽  
Shuanghong Jenny Niu
Keyword(s):  
Self Efficacy ◽  
Digital Storytelling ◽  
Mathematics Learning ◽  
Learning Experiences ◽  
Data Sets ◽  
Primary School Students ◽  
School Students ◽  
Mathematical Concepts ◽  
Teachers And Students

The aim of this study was to uncover how digital storytelling advances students’ self-efficacy in mathematics learning and what kinds of learning experiences contribute to self-efficacy. Four Chinese classes with 10- to 11-year-old students ( N = 121) participated in the project. The mathematics learning theme was geometry. Quantitative data was collected with questionnaires. The qualitative data was based on teachers’ and students’ interviews and observations. Both data sets showed that the students’ self-efficacy increased significantly during the project. The most important mediator was students’ perception of the meaningfulness of mathematics learning; digital storytelling enhanced the students’ ability to see mathematics learning as useful. They became more confident that they could learn mathematics and understand what they had learned. They also felt more confident in talking with their classmates about mathematical concepts. The role of self-efficacy was twofold: it supported students’ learning during the project and it increased due to meaningful mathematics learning experiences.

scholarly journals IMPLEMENTASI MODEL CONCEPT ATTAINMENT UNTUK MENGEMBANGKAN KEMAMPUAN PEMECAHAN MASALAH

2020 ◽  
Vol 7 (2) ◽  
pp. 171-183
Author(s):  
Ratnawati Handayani ◽  
Yulia Maftuhah Hidayati
Keyword(s):  
Elementary School ◽  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
School Students ◽  
Model Concept ◽  
Concept Attainment ◽  
Problem Solving Skills ◽  
Data Validity ◽  
5Th Grade

This study aims to describe the implementation of concept attainment model in developing math problem solving skills of 5th grade elementary school students. This study used a qualitative approach with a phenomological research design. The subjects in this study were 2 students and 1 teacher of 5th grade of SD Negeri Newung 2 Elementary School (SDN Newung 2), Sukodono, Indonesia. The data technique used tests and interviews with students and teachers. The data validity used source and method triangulation. Data analysis used three stages, namely (1) data reduction, (2) data presentation, (3) data conclusions. The results of this study, (1) the students' mathematical solving ability is good, because students have mastered the indicators of mathematical problem solving abilities, (2) Implementation of the concept attainment model in Mathematics learning is correct, because students are enthusiastic about learning, the steps used are appropriate, namely the stage of analyzing thinking strategies, presenting data, and testing concept achievement.

scholarly journals PENINGKATAN KEMAMPUAN PEMECAHAN MASALAH SISWA SD DALAM PEMBELAJARAN MATEMATIKA DENGAN MODEL DISKURSUS MULTY REPRESENTATION (DMR)

2017 ◽  
Vol 9 (1) ◽  
pp. 35 ◽  
Author(s):  
Deti Rostika ◽  
Herni Junita
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematics Model ◽  
Discourse Representation ◽  
Mathematical Concepts ◽  
Real Effort ◽  
Low Ability

Abstract: Mathematics is a science that is universal and able to integrate with other subjects. One of the goals of mathematics learning based on Kurikulum Tingkat Satuan Pendidikan is to understand, explain and apply mathematical concepts in the context of problem solving. But in the field, the students tend to difficulties in resolving problems related to problem solving in mathematics. This is due to the low ability students in mathematical problem solving in students' learning because not used to thinking creatively. It required a real effort to improve students' problem-solving abilities in mathematics. One of the measures taken namely through mathematics model Multy Discourse Representation (DMR). Learning with models DMR is one alternative that can be used because it exposes students to work in groups, in order to issue a power of representation held by the students.Keyword: Problem solving ability, DMR Model, Mathematic learning. Abstrak: Matematika merupakan suatu ilmu yang sifatnya universal dan mampu berintegrasi dengan mata pelajaran lain. Salah satu tujuan pembelajaran matematika berdasarkan kurikulum tingkat satuan pendidikan adalah memahami, menjelaskan dan mengaplikasikan konsep matematika dalam konteks pemecahan masalah. Namun dalam pelaksanaan di lapangan, siswa cenderung kesulitan dalam menyelesaikan persoalan terkait pemecahan masalah dalam pembelajaran matematika. Hal ini disebabkan rendahnya kemampuan siswa dalam pemecahan masalah matematis karena dalam pembelajaran siswa tidak terbiasa berpikir secara kreatif. Untuk itu diperlukan upaya nyata dalam meningkatkan kemampuan pemecahan masalah siswa dalam pembelajaran matematika. Salah satu upaya yang diambil yakni melalui pembelajaran matematika dengan model Diskursus Multy Representation (DMR). Pembelajaran dengan model DMR merupakan salah satu alternatif yang dapat digunakan karena menghadapkan siswa kepada bekerja secara berkelompok, supaya dapat mengeluarkan daya representasi yang dimiliki oleh diri siswa.Kata kunci: Kemampuan pemecahan masalah, Model DMR, Pembelajaran matematika

scholarly journals Etnomatematika Dalam Rumah Adat Panjalin

2018 ◽  
Vol 2 (2) ◽  
pp. 224
Author(s):  
Anggita Maharani ◽  
Seka Maulidia
Keyword(s):  
Problem Solving ◽  
Reference Material ◽  
Learning Outcomes ◽  
Learning Process ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematical Concepts ◽  
Learning Mathematics ◽  
Alternative Idea

This study aims to improve the learning process at school by using culture-based learning that is ethnomatematics at the Panjalin traditional house. The purpose of this study is to explore the culture of the Panjalin community as a medium for learning mathematics. Through culture-based learning, it is expected that students can improve their mathematical learning outcomes. The results showed that there were mathematical concepts and activities at the Panjalin Traditional House. Students learn theories about mathematical concepts, then know the application of these mathematical concepts. The results of the study aimed to review the benefits of ethnomatematics-based mathematics learning that can motivate students and make the results of research on ethnomatematics at Panjalin traditional house as an alternative idea of mathematics learning outside the classroom and used as reference material for the preparation of contextual mathematical problem solving questions.

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