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.

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 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 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.

Teaching Personal Finance Mathematical Problem Solving to Individuals With Moderate Intellectual Disability

2016 ◽  
Vol 40 (1) ◽  
pp. 5-14 ◽  
Author(s):  
Jenny Root ◽  
Alicia Saunders ◽  
Fred Spooner ◽  
Chelsi Brosh
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Functional Relation ◽  
Personal Finance ◽  
Future Research ◽  
School Students ◽  
Problem Solving Skills ◽  
Mathematical Problems ◽  
Based Instruction ◽  
Multiple Probe

The ability to solve mathematical problems related to purchasing and personal finance is important in promoting skill generalization and increasing independence for individuals with moderate intellectual disabilities (IDs). Using a multiple probe across participant design, this study investigated the effects of modified schema-based instruction (MSBI) on personal finance problem solving skills, purchasing an item on sale or leaving a tip, and using a calculator or iDevice (i.e., iPhone or iPad) for three middle school students diagnosed with a moderate ID. The results showed a functional relation between MSBI using a calculator on the participant’s ability to solve addition and subtraction personal finance word problems and generalize to iDevices. The findings of this study provide several implications for practice and offer suggestions for future research.

scholarly journals Improving students’ mathematical logical intelligence through the online-based integration of local wisdom of Sulapa Eppa Walasuji

2021 ◽  
Vol 12 (2) ◽  
pp. 283-294
Author(s):  
A. Nurannisa F.A ◽  
Andi Muhammad Irfan Taufan Asfar ◽  
Andi Muhamad Iqbal Akbar Asfar ◽  
Adji Syaifullah
Keyword(s):  
Problem Solving ◽  
Effect Size ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Real Life ◽  
Control Group ◽  
Control Group Design ◽  
Problem Solving Skills ◽  
Quasi Experimental ◽  
Design Type

Mathematical logical intelligence is one of the skills that are needed in the 21st century related to mathematical problem-solving skills. The importance of this skill is not in line with the facts on the ground, where students are still weak in counting and using logic in problem solving. The purpose of this research is to improve students’ mathematical logical intelligence through the online-based integration of local wisdom of Sulapa Eppa Walasuji. Sulapa Eppa Walasuji is one of the Bugis-Makassar local wisdoms with a unique pattern, appropriate to be used as a medium for learning transformation of geometry. Through the integration of local wisdom, Sulapa Eppa Walasuji can create contextual mathematics learning, so that students can easily understand the material by connecting real-life concepts. This research includes experimental research with a quasi-experimental design of the nonequivalent control group design type. The research instrument used was a mathematical logical intelligence test consisting of five essay questions. The data analysis used is descriptive statistics with gain score and effect size testing. The results showed that the mathematical logical intelligence of experimental class students increased by 43.16 with the effective contribution of the r effect size being 0.910. This indicates that the online-based integration of Sulapa Eppa Walasuji can improve students’ mathematical logical intelligence. 

scholarly journals Efektivitas Pembelajaran Matematika Realistik Terhadap Kemampuan Pemecahan Masalah Matematik Siswa Kelas VII SMP

2018 ◽  
pp. 1-9
Author(s):  
Ananda Ria Pertiwi Sinaga
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Learning Approaches ◽  
Learning Attitudes ◽  
Realistic Mathematics ◽  
Quasi Experimental ◽  
Academic Year

This study aims to (1) find out whether the mathematical problem-solving abilities of students who are taught by realistic mathematics learning were higher than those students who were taught using conventional learning; (2) knowing students' learning attitudes towards realistic mathematics learning approaches. This research is a quasi-experimental study with a quantitative approach. This research was conducted in class VII of the Junior High School 28 Medan 2017/2018 Academic Year where the population of this study was all class VII. Samples from this study were class VII-G as the experimental class and class VII-F as the control class. Based on the results of the analysis of calculations, the following data are obtained: (1) the results of analysis of realistic mathematical learning on students' mathematical problem-solving abilities using the t-test found that ttable = 1.68 and tcount = 3.6821 so tcount> ttable then concluded that H0 is rejected and Ha be accepted. The mathematical problem-solving abilities of students who are taught by realistic mathematics learning was higher than conventional learning. (2) student responses were very positive towards realistic mathematics learning with an average of ≥ 86.03.

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