scholarly journals STRATEGIES OF PATTERN GENERALIZATION FOR ENHANCING STUDENTS’ ALGEBRAIC THINKING

2020 ◽  
Vol 17 (36) ◽  
pp. 171-185
Author(s):  
NURWIDIYANTO A. ◽  
Kaijun ZHANG
Keyword(s):  
Secondary Students ◽  
Mathematical Thinking ◽  
Algebraic Thinking ◽  
Primary School Students ◽  
School Students ◽  
Functional Strategy ◽  
Descriptive Research ◽  
Pattern Generalization ◽  
Early Schooling ◽  
The Common

Mathematics is seen as a science of pattern. Identifying and using patterns is the essence of mathematical thinking for children to improve algebraic thinking from their early schooling. The pattern is an arrangement of objects that have regularities or properties that can be generalized. Therefore, it is essential to know the strategies used by students in generalizing patterns and how students think in these processes. This study is descriptive research with a mixed quantitative-qualitative approach that aimed to investigate student’s algebraic thinking using various strategies to generalize the visual pattern. An instrument about the linear geometric growing pattern was administrated to 75 upper primary school students (grades 5-6) and 81 lower secondary students (grades 7-8) in two private schools in Semarang, Indonesia. The results showed that students used different pattern generalization strategies. The student generally preferred recursive, chunking, and functional approaches in each generalization task, whereas few used counting from drawing strategies to generalize patterns. The use of the recursive strategy decreased, whereas the chunking strategy and the functional strategy increased across grades 5-8 for the problems. The results also showed the student who used the recursive and chunking strategy preferred to change visual patterns into rows of numbers. Hence, they adopt a numeric approach by finding the common difference of visible pattern in each step.

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 The Initial Algebraic Knowledge of Preservice Teachers

Mathematics ◽  
2021 ◽  
Vol 9 (17) ◽  
pp. 2117
Author(s):  
Alberto Zapatera ◽  
Eduardo Quevedo
Keyword(s):  
Preservice Teachers ◽  
Primary School ◽  
Student Teachers ◽  
Algebraic Thinking ◽  
Early Algebra ◽  
Primary School Students ◽  
Training Process ◽  
School Students ◽  
Starting Point ◽  
Single Solution

Early algebra proposes to incorporate algebra in primary school from the first years of schooling. The success of this incorporation depends, to a large extent, on the training of teachers, so the objective of this article is to study whether the degree of algebraic knowledge of student teachers at the beginning of their training. To conduct this, 106 preservice teachers were given a questionnaire. This survey is based on two daily life situations. They had to propose tasks to develop algebraic reasoning in primary school students. Most of the participants designed tasks in which they assigned specific values to the indeterminate ones and solved them arithmetically. In this way, they transformed open situations and numerous opportunities to promote algebraic thinking in students through the generalization and representation of relationships and functions into closed single-solution problems that do not promote algebraic thinking. We can see from the results that the participants’ algebraic knowledge is insufficient. Therefore, it is necessary to include in their training process the programs and experiences that will allow them to design tasks in order to detect and promote algebraic thinking in their future students. Sequences of tasks are presented to develop both situations by generalizing and representing relationships and functions, which can serve as a starting point for future training programs and experiences.

scholarly journals A Study of the TPR Method in the Teaching of English to Primary School Students

2018 ◽  
Vol 8 (8) ◽  
pp. 1087 ◽  
Author(s):  
Tingting Shi
Keyword(s):  
Primary School ◽  
Teaching Method ◽  
Traditional Teaching ◽  
Primary School Students ◽  
School Students ◽  
Learning Efficiency ◽  
English Class ◽  
Experiment Method ◽  
The Common ◽  
Experimental Subjects

In order to use TPR teaching method effectively in primary school English class, this paper uses the experiment method, two groups of students from Experimental primary school in Hongdong County of Linfen City are selected as the experimental subjects. In the process of the experiment, one group of students are taught by the TPR teaching method, another group of students are taught by the common traditional teaching method. The data from this experiment shows that the TPR teaching method is a more effective method. On the basis of the above research, this paper comes to a conclusion that the use of TPR teaching method will greatly enhance the students’ learning efficiency. Through the research of this paper, the author hopes to deepen teachers’ understanding of the TPR teaching method, the teacher can use the TPR method to carry on the teaching in the class and help students to learn effectively.

Morpho-Syntactic Developmental Features of Syrian Primary School Students Learning Turkish as a Foreign Language

2018 ◽  
pp. 203-217
Author(s):  
Lütfi Üredi ◽  
Ömer Gökhan Ulum
Keyword(s):  
Second Language ◽  
Primary School ◽  
Language Learning ◽  
Language Skills ◽  
Primary School Students ◽  
School Students ◽  
Descriptive Research ◽  
Syntactic Features ◽  
Turkish Language ◽  
Developmental Features

Choosing and structuring a word, making a statement, and comprehending the formulated statement require complex principles and processes. Within this context, complicated procedures and processes might be faced in the second language learning as well. Learning a second language means grasping the syntactic principles of a language and transforming these principles into language skills. In our very specific study, ten Syrian primary school students coming from diverse psychological and sociological backgrounds, and being at varying ages were investigated. The participants were asked to narrate the pictured book Frog, Where Are You? by Mercer Mayer in Turkish language and the narrations were audio-taped by the researchers. Based on a descriptive research design, the data were collected and analysed qualitatively. As a result of this study which investigated the morpho-syntactic developmental features of Syrian primary school students, diverse and common morpho-syntactic features were detected among students coming from different backgrounds.

scholarly journals Character Education Through The Movement Of Artists Entering School In Primary School Students 5 Namlea

2021 ◽  
Author(s):  
Susiati Susiati
Keyword(s):  
Character Education ◽  
Elementary School Students ◽  
Social Care ◽  
Primary School Students ◽  
School Students ◽  
Descriptive Research ◽  
Observation Methods ◽  
Qualitative Descriptive ◽  
Depth Interviews ◽  
Participatory Observation

Character education is increasingly considered important in today's era because of the spread of technology that contains less educational sites and behaviors that can blind the minds of teenagers and school children. Through the activities of the Movement for Artists to Enter School, character education will be cultivated for elementary school students to become moral and cultured individuals.This study aims to identify the application of student character education through the Artists Entrance Movement for students of SD Negeri 5 Namlea. This research is a qualitative descriptive research. The data sources in this study were 24 students who joined the GSMS at SD Negeri 5 Namlea. Data were collected using observation methods with participatory observation techniques, in-depth interviews, documentary studies, literature studies. The results showed that there were fifteen forms of character education that were applied in the activities of the Artist Movement for Schools at SD Negeri 5 Namlea, namely 1) loving the country; 2) care for the environment; 3) social care; 4) fond of reading; 5) honest; 6) tolerance; 7) discipline; 8) democratic; 9) friendly; 10) peace-loving; 11) reward achievement; 12) independent; 13) creative; 14) love culture attitude; 15) hard work.

Engagement in Mathematical Thinking and the Proficiency Level of Secondary Students

2014 ◽  
Vol 17 (1) ◽  
Author(s):  
Grace Mae G. Flores
Keyword(s):  
High School ◽  
High School Students ◽  
Secondary Students ◽  
Mathematical Thinking ◽  
Vital Role ◽  
School Students ◽  
Mathematical Skills ◽  
Proficiency Level ◽  
Pertinent Data ◽  
Correlation Design

Engagement in Mathematics refers to the strategies to learn mathematics and confidence in the ability to succeed and emotional feelings about mathematics. It plays a vital role in the acquisition of mathematical skills and knowledge by being attracted to their work, persistent despite challenges and obstacles, and they take visible delight in work accomplishments.The purpose of the study was to determine the level of mathematical thinking and proficiency of secondary students of Davao del Norte, Philippines. The other intent of this undertaking was to find out the engagement of the students in mathematical thinking and the achievement of the fourth-year high school students.  This study used the descriptive-correlation design. Pertinent data were gathered through the use of questionnaires in assessing the level of achievements of the 163 fourth-year students in Kapalong public secondary schools specifically Capungagan High School, Mabantao National High School and Sua-on National High School. This research employed statistical tools like Analysis of Variance (ANOVA), correlation, t – test and mean. The result revealed that the level of engagement of students in mathematical thinking was high that means that all the strategies are applied by the teachers in the class.Keywords— Mathematics Education, mathematical thinking, proficiency level, secondary students, descriptive-correlation design, Tagum City, Philippines

scholarly journals Applying Fractional Strategies on Number Line among Primary School Students

2021 ◽  
Vol 29 (1) ◽  
Author(s):  
Teoh Sian Hoon ◽  
Geethanjali Narayanan ◽  
Parmjit Singh
Keyword(s):  
Primary School ◽  
Secondary Students ◽  
Teaching And Learning ◽  
Qualitative Methodology ◽  
Number Line ◽  
Primary School Students ◽  
Public Attention ◽  
School Students ◽  
Clinical Interviews ◽  
Primary School Pupils

The teaching and learning of fractions have been getting public attention since it is one of the most problematic topics among primary and secondary students. This study aims to investigate to what extent the primary school pupils apply fractional strategies to solve problems on number line. This study was conducted using a qualitative methodology. The data were collected from task-based clinical interviews. The subjects of this study were selected among the Year Five students in Malaysia. A total of eight students participated in this study. This study revealed three types of fractional strategies. They are (1) finding an interval in fractions on number line, (2) applying concepts of decimal and interchange with fraction, and (3) comparing values of fractions. The findings showed achieving fractions arithmetic proficiency is crucial in developing the knowledge of fraction magnitude representations on the number line.

scholarly journals Students' Mathematical Thinking in Column Calculation and Algorithms

2021 ◽  
Vol 5 (2) ◽  
pp. 1928-1942
Author(s):  
Puri Pramudiani ◽  
Tatang Herman
Keyword(s):  
The Netherlands ◽  
Primary School ◽  
Teaching And Learning ◽  
Mathematical Thinking ◽  
Primary School Students ◽  
School Students ◽  
Calculation Algorithm ◽  
The Third ◽  
Qualitative Descriptive ◽  
Grade 3

This study aims to investigate primary school students’ mathematical thinking in column calculation and algorithms. The method used in this research is qualitative descriptive. The participants of this research were twelve Indonesian primary school students at grade 3 and 4 in Ciparay, Bandung, West Java. They worked to solve calculation and algorithm questions developed from TAL TEAM book Freudenthal Institute, Utrecht University, The Netherlands that were classified based on the strategies used. After analyzing their written works, interviews were organized to acquire further information about their mathematical thinking. The study found that students’ strategies in dealing with calculation algorithm consist of three strategies. The first strategy is the splitting strategy from units to tens column and then the interim results are combined. The second strategy is the splitting strategy used from tens to unit column and the interim results are added vertically digit-by-digit. The third strategy is the transition from splitting strategy from units to tens column consists primarily of using abbreviated column calculation for the interim results in each column. In addition, several students made common mistakes due to misconception about algorithm and arithmetical problems. Implication of this research for teaching and learning calculation and algorithms were described elaborately.

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