scholarly journals The Evolution of Mathematical Thinking in Chinese Mathematics Education

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 297 ◽  
Author(s):  
Na Li ◽  
Ida Mok ◽  
Yiming Cao
Keyword(s):  
Mathematics Education ◽  
Historical Perspective ◽  
Mathematical Thinking ◽  
Mathematics Learning ◽  
National Curriculum ◽  
Compulsory Education ◽  
Document Analysis ◽  
Mathematical Methods ◽  
Policy Makers

Mathematical thinking (MT) has been one of the most important goals for mathematics education as it can support sustainable mathematics learning. Its role in school mathematics has recently been explicitly identified as one of “Four Basics” in the latest national curriculum standard for compulsory education, which is seen as one of the prominent features of Chinese mathematics education. This paper reviewed definitions, descriptions, and explanations from a historical perspective and aimed to provide a comprehensive and contemporary conceptualization for MT in a Chinese context, which can be applied as a comparison to MT in English works. To achieve this, document analysis was applied in this study. Major official documents, papers, and books were reviewed to see the process of MT conceptualization given by the policy makers and researchers. Results indicated that MT places more emphasis on the process of mathematical methods application in problem solving, such as the method of combination of symbolic and graphic mathematics. Mathematical thought is also recommended by Chinese researchers to help students think like mathematicians. Another major characteristic is that the classification of major types of MT is usually focused on that which can make the concept more understandable.

scholarly journals Advanced Mathematic Thinking Ability Based on The Level of Student's Self-Trust in Learning Mathematic Discrete

2020 ◽  
Vol 10 (2) ◽  
pp. 12
Author(s):  
Yemi Kuswardi ◽  
Budi Usodo ◽  
Sutopo Sutopo ◽  
Henny Ekana Chrisnawati ◽  
Farida Nurhasanah
Keyword(s):  
Mathematics Education ◽  
Mathematical Thinking ◽  
Mathematics Learning ◽  
Thinking Skills ◽  
Discrete Mathematics ◽  
Mathematical Representation ◽  
Advanced Mathematical Thinking ◽  
Self Confidence ◽  
Thinking Ability ◽  
Thinking Processes

<p class="BodyAbstract">Mathematical thinking and self-confidence are indispensable aspects of learning mathematics and are influential in solving mathematical problems. In higher education mathematics learning, advanced mathematical thinking skills are required (Advance Mathematical Thinking. Advanced mathematical thinking processes include: 1) mathematical representation, 2) mathematical abstraction, 3) connecting mathematical representation and abstraction, 4) creative thinking, and 5) mathematical proof. Discrete mathematics is one of the courses in mathematics education FKIP UNS. The problems in Discrete Mathematics courses are usually presented in the form of contextual problems. Students often experience difficulties in making mathematical expressions and mathematical abstractions from these contextual problems. In addition, students also experience difficulties in bookkeeping. Most students often prove by using examples of some real problems. Even though proof in mathematics can be obtained by deductive thinking processes or inductive thinking processes, the truth is that mathematics cannot only come from the general assumption of inductive thinking. Based on this, a qualitative descriptive study was carried out which aims to determine the advanced mathematical thinking skills based on the level of student self-confidence. Research with the research subjects of FKIP UNS Mathematics Education Students in Discrete Mathematics learning for the 2019/2020 school year gave general results that the student's ability in advanced mathematical thinking was strongly influenced by the level of student confidence in learning. The higher the student's self-confidence level, the better the student's advanced mathematical thinking ability, so that high self-confidence has a great chance of being successful in solving math problems.</p>

scholarly journals Developing Mathematical Devices with Characteristics Realistic Mathematics Education

2019 ◽  
Vol 10 (1) ◽  
pp. 1-10
Author(s):  
Melkior Wewe ◽  
I Wayan Juliawan
Keyword(s):  
Mathematics Education ◽  
Lesson Plan ◽  
Mathematics Learning ◽  
Average Score ◽  
Realistic Mathematics Education ◽  
Design Development ◽  
Realistic Mathematics ◽  
Analysis Design ◽  
Addie Model

This research aims to generate a mathematics learning media characterized by valid and realistic mathematics education, describes the practicality of the learning media, and measures the results of the learning media toward the students’ learning outcome. This study uses the ADDIE Model which consists of five stages, namely: analysis, design, development, implementation, and evaluation. The final products of this research are the lesson plan (RPP) and student worksheet (LKS) which are characterized by realistic mathematics education. Based on the results of the study, the validity analysis of the developed lesson plan and students’ worksheet that is categorized as valid and in accordance with the classification of a good lesson plan and students’ worksheet. After an assessment and revision of the learning media had been conducted, the implementation of the learning media was carried out. Based on the results of the analysis, the practicality of the product obtains an average score of 88.45% with the highly practical criteria. The analysis of students’ responses toward the worksheet obtains an average score of 4.08 and has fulfilled the practical criteria. The analysis of the teacher’s responses toward the worksheet obtains an average score of 4.58 and has fulfilled the practical criteria. The results of the pretest and posttest analysis show that the developed products have met the effective criteria because the percentage of students' completeness in the pretest was 58.65% and posttest was 81.9% which increased by 23.25%.  

scholarly journals META-ANALYSIS OF THE EFFECT OF LEARNING INTERVENTION TOWARD MATHEMATICAL THINKING ON RESEARCH AND PUBLICATION OF STUDENT

2017 ◽  
Vol 4 (2) ◽  
pp. 162-175
Author(s):  
Kadir Kadir
Keyword(s):  
Mathematics Education ◽  
Research Finding ◽  
Mathematical Thinking ◽  
Meta Analysis ◽  
Mathematics Learning ◽  
Analysis Techniques ◽  
Learning Intervention ◽  
Thinking Ability ◽  
Educational Sciences ◽  
Method Approach

Abstract The purpose of this study was to analyse the effect of mathematics learning intervention on students' mathematical thinking ability. The research method used survey of thesis of the student. The effect of studies applying learning to mathematical thinking was done using meta-analysis techniques. The research finding that research conducted by students by providing learning intervention was able to improve students' mathematical thinking ability. Aspects of mathematical thinking ability include connection ability, communication, representation, problem-solving, logical, critical, creative, analytical, generalization, quantitative, and adaptive thinking. The types of research used by students are dominated by the experiment with mix-method approach and classroom action research. Other methods, research development. The research and publication at the Department of Mathematics Education, Faculty of Educational Sciences have adapted to the trend of mathematics education research on the national and international level. Abstrak Tujuan penelitian ini adalah menganalisis efektivitas pengaruh intervensi pembelajaran matematika terhadap kemampuan berpikir matematis siswa. Metode penelitian yang digunakan adalah survei terhadap skripsi dan publikasi mahasiswa. Pengaruh  penelitian-penelitian yang menerapkan pembelajaran terhadap kemampuan berpikir matematis dianalisis dengan teknik meta-analisis. Temuan penelitian mengungkapkan bahwa secara keseluruhan penelitian-penelitian yang dilakukan mahasiswa dengan memberikan intervensi pembelajaran ternyata mampu meningkatkan kemampuan berpikir matematis siswa. Aspek kemampuan berpikir matematika yang meliputi: kemampuan koneksi, komunikasi, representasi, pemecahan masalah, kemampuan berpikir: logis, kritis, kreatif, reflektif, intuitif, penalaran: analalogi, generalisasi, kuantitatif, kreatif, dan adaptif. Metode penelitian yang digunakan mahasiswa didominasi metode eksperimen dengan pendekatan mix-method dan penelitian tindakan kelas. Disamping itu terdapat beberapa mahasiswa  memilih metode penelitian pengembangan. Hasil penelitian dan publikasi pada Program Studi Pendidikan Matematika telah menyesuaikan dengan tren penelitian pendidikan pendidikan matematika baik pada level nasional maupun internasional. How to Cite : Kadir. (2017). Meta-Analysis of the Effect of Learning Intervention Toward Mathematical Thinking on Research and Publication of Student. TARBIYA: Journal of Education in Muslim Society, 4(2), 162-175. doi:10.15408/tjems.v4i2.8010. Permalink/DOI: http://dx.doi.org/10.15408/tjems.v4i2.8010

O ENSINO RELIGIOSO EM QUESTÃO

2018 ◽  
Vol 9 (21) ◽  
pp. 459
Author(s):  
Mauro Rocha Baptista
Keyword(s):  
Supreme Court ◽  
Religious Education ◽  
Common Core ◽  
Historical Perspective ◽  
National Curriculum ◽  
The Other ◽  
Federal Constitution ◽  
The Supreme Court ◽  
The Common

Neste artigo analisamos a relação do Ensino Religioso com a sua evolução ao longo do contexto recente do Brasil para compreender a posição do Supremo Tribunal Federal ao considerar a possibilidade do Ensino Religioso confessional. Inicialmente apresentaremos a perspectiva legislativa criada com a constituição de 1988 e seus desdobramentos nas indicações curriculares. Neste contexto é frisado a intenção de incluir o Ensino Religioso na Base Nacional Curricular Comum, o que acabou não acontecendo. A tendência manifesta nas duas primeiras versões da BNCC era de um Ensino Religioso não-confessional. Uma tendência que demarcava a função do Ensino Religioso em debater a religião, mas que não permitia o direcionamento por uma vertente religioso qualquer. Esta posição se mostrava uma evolução da primeira perspectiva histórica mais associada à catequese confessional. Assim como também ultrapassava a interpretação posterior de um ecumenismo interconfessional, que mantinha a superioridade do cristianismo ante as demais religiões. Sendo assim, neste artigo, adotaremos o argumento de que a decisão do STF, de seis votos contra cinco, acaba retrocedendo ante o que nos parecia um caminho muito mais frutífero.Palavras-chave: Ensino Religioso. Supremo Tribunal Federal. Confessional. Interconfessional. Não-confessional.Abstract: On this article, we analyze the relation between Religious education and its evolution along the currently Brazilian context in order to understand the position of the Supreme Court in considering the possibility of a confessional Religious education. Firstly, we are going to present the legislative perspective created with the 1988 Federal Constitution and its impacts in the curricular lines. On this context it was highlighted the intention to include the Religious Education on the Common Core National Curriculum (CCNC), which did not really happened. The tendency manifested in the first two versions of the CCNC was of a non-confessional Religious Education. A tendency that delineated the function of the Religious Education as debating religion, but not giving direction on any religious side. This position was an evolution of the first historical perspective more associated to the confessional catechesis. It also went beyond the former interpretation of an inter-confessional ecumenism, which kept the superiority of the Christianity over the other religions. As such, in this paper we adopt the argument that the decision of the Supreme Court, of six votes against five, is a reversal of what seemed to be a much more productive path on the Religious Education.Keywords: Religious Education. Brazilian Supreme Court. Confessional. Inter-confessional. Non- confessional.Enviado: 23-01-2018 - Aprovado e publicado: 12-2018

Towards Flipped Learning in Upper Secondary Mathematics Education

2020 ◽  
Vol 5 (1) ◽  
pp. 1-15
Author(s):  
Robert Weinhandl ◽  
Zsolt Lavicza ◽  
Stefanie Schallert
Keyword(s):  
Secondary Education ◽  
Mathematics Education ◽  
Mathematics Learning ◽  
Flipped Learning ◽  
Educational Innovations ◽  
Design Based Research ◽  
Secondary Mathematics Education ◽  
Upper Secondary Education ◽  
Mathematics Classrooms ◽  
Upper Secondary

Challenges for students in the 21st century, such as acquiring technology, problem-solving and cooperation skills, also necessitates changes in mathematics education to be able to respond to changing educational needs. One way to respond to these challenges is utilising recent educational innovations in schools, for instance, among others are flipped learning (FL) approaches. In this paper, we outline our explorative educational experiment that aims to investigate key elements of mathematics learning in FL approaches in upper secondary education. We describe the methodologies and findings of our qualitative study based on design-based research to discover key elements of FL approaches in upper secondary education. Analysing the data collected over ten months suggested categories (a) confidence when learning; (b) learning by working; and (c) flexibility when learning could be essential to understand FL approaches practices in mathematics classrooms.

KREATIVITAS DAN HASIL BELAJAR

2018 ◽  
Vol 1 (1) ◽  
pp. 46-54
Author(s):  
Besse Intan Permatasari
Keyword(s):  
Mathematics Education ◽  
Learning Outcomes ◽  
Linear Algebra ◽  
Mathematics Learning ◽  
Student Learning Outcomes ◽  
Study Program ◽  
School Year ◽  
Ex Post ◽  
Ex Post Facto ◽  
Research Type

This study aims to determine whether there is an influence of creativity on mathematics learning outcomes of students of Mathematics Education in University of Balikpapan Study Program on Linear Algebra Courses. The approach used is a quantitative approach with ex post facto research type. The population of this research is all students of Mathematics Education Study Program Linear Algebra Course in the School Year 2017/2018, which are 49 students. Samples were chosen randomly are 25 students. The results showed that there is a positive and significant effect on student learning outcomes in Linear Algebra Subject

Proceedings of the 14th Engineering Mathematics and Applications Conference

2020 ◽  
Vol 61 ◽  
Author(s):  
Christopher C Tisdell ◽  
Zlatko Jovanoski ◽  
William Guo ◽  
Judith Bunder
Keyword(s):  
Saudi Arabia ◽  
New Zealand ◽  
Mathematics Education ◽  
Interest Group ◽  
Applied Mathematics ◽  
Special Section ◽  
Mathematical Education ◽  
Mathematical Methods ◽  
Engineering Mathematics ◽  
Technology Group

  EMAC 2019 UNSW Canberra, Australia 26th Nov–29th Nov 2019 This Special Section of the ANZIAM Journal (Electronic Supplement) contains the refereed papers from the 14th Engineering Mathematics and Applications Conference (EMAC2019), which was held at the UNSW Canberra, Australia from 26th November to 29th November 2019. EMAC is held under the auspices of the Engineering Mathematics Group (EMG), which is a special interest group of the Australian and New Zealand Industrial and Applied Mathematics division of the Australian Mathematics Society. This conference provides a forum for researchers interested in the development and use of mathematical methods in engineering and applied mathematics, and aims to foster interactions between mathematicians and engineers, from both academia and industry. A further theme of the conference is the mathematical education of applied mathematicians and engineers. The event attracted participants from around the globe, including: New Zealand, Saudi Arabia, United Kingdom, Japan and Australia. The invited speakers at the 2019 meeting crossed the spectrum of specialities in engineering, mathematics, education and industry. They were: Alexander Kalloniatis (Defence Science and Technology Group), Robert K. Niven (UNSW Canberra), Katherine Seaton (La Trobe University) and Antoinette Tordesillas (University of Melbourne). All of the articles included in the EMAC 2019 Proceedings have been critically peer reviewed to the usual standards of the ANZIAM Journal. EMAC 2019 Organising Committee The conference organising committee were Fiona Richmond, Zlatko Jovanoski (Director), Leesa Sidhu, Duncan Sutherland, Fangbao Tian, Isaac Towers, Timothy Trudgian and Simon Watt. The invited speakers were chosen by a committee of experts including Alys Clark, Jennifer Flegg, Bronwyn Hajek (EMG Chair), Zlatko Jovanoski, Dann Mallet, Robert Niven, Brandon Pincombe, Melanie Roberts (Chair) and Harvinder Sidhu.

scholarly journals Cultural awareness in an Iranian English language classroom: A teaching intervention in an interculturally “conservative” setting

2020 ◽  
Vol 9 (1) ◽  
pp. 57-80
Author(s):  
Yasmina Abdzadeh ◽  
Will Baker
Keyword(s):  
Cultural Awareness ◽  
English Language ◽  
English Education ◽  
National Curriculum ◽  
Language Education ◽  
Cultural Learning ◽  
Systematic Instruction ◽  
Policy Makers ◽  
Language Classroom ◽  
Open Country

AbstractDespite Iran’s increasing use of English as a lingua franca (ELF) and its growing position as a more open country to international relationships, Iran’s education policy is still culturally conservative and intercultural language education is absent from the national curriculum and hence classrooms. In response, this article presents the results of a ten-session course focused on implementing and developing cultural awareness (CA) in an Iranian English language classroom. The data revealed that this course had a positive effect in developing students’ levels of CA, moving from basic in the first half of the course towards advanced in the second half. This provides important empirical evidence illustrating the value of systematic instruction of CA in students’ cultural learning. Furthermore, this course was the first of its kind in the predominantly monolingual, culturally restricted context of this study, where intercultural education is missing from the curriculum, yet where students are likely to use ELF for intercultural communication while travelling abroad or inside the country for communication purposes with non-Iranians. This study, thus, demonstrates the feasibility and documents the processes of integrating intercultural teaching into English education, specifically in contexts where educators might be limited by language policy makers.

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.

(Re)organizing the music curriculum as multicultural music education

2021 ◽  
pp. 025576142098621
Author(s):  
Alethea Cassandra de Villiers
Keyword(s):  
Music Education ◽  
Multicultural Education ◽  
National Curriculum ◽  
Compulsory Education ◽  
Social Institutions ◽  
Cultural Hegemony ◽  
Multicultural Music Education ◽  
Learning And Teaching ◽  
Western Art ◽  
Policy Attitudes

Cultural hegemony permeates society and is spread through social institutions. These institutions socialize people into the norms, values and beliefs of the dominant social groups. Moreover, cultural hegemony is spread and perpetuated through education in the form of compulsory education, a national curriculum, national assessments, as well as the hidden curriculum. The cultural hegemony of Western Art Music is established as the standard of music making and is institutionalized in education systems, national curricula and national assessment practices because it is inherent in ideologies and decision making. To counter the dominant hegemony, multicultural education philosophies have been adopted in democracies. The purpose of multicultural education is to change the dominant hegemony and bring about transformation in policy, attitudes, curriculum, assessment, the language of instruction, and strategies for learning and teaching. In this article, I discuss and compare music curricula from South Africa and Australia to determine how multiculturalism is manifested in the curriculum content for music in schools. I also suggest possible frameworks for curriculum developers in democracies to consider, which would subvert the status quo and establish a counter-hegemony.

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