Dynamic Geometry Systems in Mathematics Education: Attitudes of Teachers

2015 ◽  
Vol 4 (4) ◽  
pp. 19-33
Author(s):  
Pavel Molnár ◽  
Stanislav Lukáč
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Dynamic Geometry ◽  
Software Systems ◽  
Teaching Process ◽  
School Practice ◽  
Integration Of Ict ◽  
Dynamic Geometry Systems ◽  
The Relationship

Abstract At present, the innovative trends in education are also often associated with the integration of ICT into the teaching process. The relationship between mathematics, teaching and computers are long-standing and complex. The actual practice of mathematics has changed its nature considerably because of the availability of powerful computers, both in the workplace and on researches’ desks. Several software systems are available for mathematics teachers, among which have dynamic geometry systems a significant presence. Although various forms of education for teachers are currently organized and teachers have at their disposal a variety of learning materials and ideas for teaching, it is questionable to what extent these factors are reflected in school practice. The article describes a survey which was aimed to assess the state of the use of dynamic geometry systems in mathematics teaching at elementary and secondary schools and to find out teachers’ views about suitability and possibilities of using it to improve mathematics education. The survey was conducted by questionnaire and subsequently also by interviews with teachers.

scholarly journals HISTORY OF MATHEMATICS EDUCATION IN PRIMARY SCHOOL AND IN TEACHER TRAINING IN BRAZIL

2020 ◽  
Vol 24 ◽  
Author(s):  
Wagner Rodrigues Valente ◽  
Maria Célia Leme da Silva
Keyword(s):  
Mathematics Education ◽  
Teacher Training ◽  
Primary School ◽  
Mathematics Teaching ◽  
History Of Mathematics ◽  
Theoretical Hypothesis ◽  
Disciplinary Field ◽  
History Of ◽  
The 19Th Century ◽  
The Relationship

Abstract This article discusses results from research developed on the transformations in mathematics teaching in primary school and the mathematics in teacher training from the 19th century to the mid-20th century in Brazil. We have analyzed the understanding of the relationship between the mathematical disciplinary field and pedagogy in order to confirm the theoretical hypothesis that the interactions between the two fields produce mathematics of different natures, which are interconnected.

Eine Rekonstruktion des Beweises von Theodoros

2021 ◽  
pp. 17-28
Author(s):  
Harald Boehme
Keyword(s):  
Mathematics Education ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
University Education ◽  
Special Focus ◽  
Mathematics Content Knowledge ◽  
School Practice ◽  
And Mathematics

We present ProfiWerk, a professionalization course geared towards pre-service Gymnasium teachers in mathematics, which is part of the preparation for an extended school-internship phase. Since the transition from university education to school practice can come with adverse discontinuity effects – rendering, at worst, university education ineffective – special focus is put on establishing stable connections between both mathematics content knowledge and mathematics education knowledge to the professional demands on mathematics teachers.

In My Opinion: Professing Teacher Knowledge beyond the Classroom Walls

2003 ◽  
Vol 9 (9) ◽  
pp. 499-501
Author(s):  
Timothy A. Boerst
Keyword(s):  
Mathematics Education ◽  
Teacher Knowledge ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Mathematics Curriculum ◽  
Teacher Recruitment ◽  
High Quality ◽  
Teaching Knowledge ◽  
Quality Instruction ◽  
The Impact

In rooms a bit smaller or larger than 24' × 30', millions of schoolchildren across the country learn valuable mathematics from teachers who masterfully integrate knowledge of mathematics, curriculum, and students to enact high-quality instruction. One of the biggest challenges to improving mathematics education may lie not in standard-setting, teacher recruitment, or accountability but in encouraging mathematics teachers to share their knowledge and practices with those outside the 24' × 30' space in which they teach every day. Teachers tend to treat their knowledge of teaching in ways that remove it from benefiting the profession (Shulman 1993). What teachers know and can do certainly impacts the hundreds, and possibly thousands, of students they teach over the course of their careers. Imagine the impact if mathematics teachers routinely shared their complex, refined understandings of teaching in ways that could be built on to benefit other students and teachers. If we hope to ensure NCTM's vision of quality mathematics instruction for all students, we must move beyond the private production and possession of mathematics teaching knowledge.

Introduction to Grasp Knowledge Using the Super Smart Pad

2011 ◽  
Vol 225-226 ◽  
pp. 857-861
Author(s):  
Qiang Ge ◽  
Feng Bin Zheng ◽  
Xi Cheng Peng
Keyword(s):  
Mathematics Education ◽  
Mathematics Teaching ◽  
Dynamic Geometry ◽  
Automatic Reasoning ◽  
Teaching Community ◽  
New Knowledge ◽  
Computer Based

The Dynamic Geometry Softwares (DGS) have brought much excitement into the computer-based teaching community, become more important in mathematics education in many curricula. As one of most remembered DGS, the Supper Smart Pad (SSP) can help many students to learn new knowledge effectively, to grasp knowledge easily. This paper discusses knowledge of dynamic geometry, introduces the free version of SSP in Chinese. It emphasizes on grasp new knowledge used and automatic reasoning in the SSP. It shows applications of the intelligent education software in mathematics teaching in the end. This paper also describes that the SSP is beneficial for instructions, especially for teaching students how to reason with the SSP.

scholarly journals How to Strengthen Mathematics Teaching in College Education

2019 ◽  
Vol 3 (2) ◽  
pp. 117
Author(s):  
Jiayou Song
Keyword(s):  
Higher Education ◽  
Mathematics Education ◽  
21St Century ◽  
Mathematics Teaching ◽  
Modern Science ◽  
College Education ◽  
Colleges And Universities ◽  
Vital Role ◽  
Teaching Process

<p>The 21st century is an era of the coexistence of opportunities and challenges. Domestic higher education and modern science and technology have obtained unprecedented development, making people more clearly understand the vital role of mathematics, which is both pressure and power for college mathematics teaching. In addition, due attention should be taken on the problems in mathematics teaching. This paper dwells on the problems and opportunities of mathematics education in colleges and universities, hoping to find and solve the root causes of problems in the teaching process from three aspects of teachers, schools and students, so as to improve the quality and efficiency of mathematics teaching.</p>

scholarly journals Strategies of Constructing Shapes in Cabri

2018 ◽  
Vol 8 (4) ◽  
pp. 1
Author(s):  
Ibrahim Kepceoglu
Keyword(s):  
Learning Environments ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Elementary Mathematics ◽  
Dynamic Geometry ◽  
Two Dimensions ◽  
Constructivist Approach ◽  
Software Environment ◽  
Tape Record ◽  
Dynamic Mathematics

According to the constructivist approach in mathematics education, knowledge is actively created or invented by the students, not passively received from the teacher or the environment. In this regard, learning environments should be designed so that students have to use effectively their “own” knowledge and thus students achieve desired information. Through the micro-worlds, the experimental environments where students make observations, researches and predictions shall be created. In the micro-worlds formed by means of Cabri Geometry, a dynamic geometry sketchbook, users can draw and explore many geometric shapes. Besides, the manipulation and displacement of objects can be easily done via this software. In this study, we emphasize on that property of Cabri Geometry. Four pre-service elementary mathematics teachers among thirty ones which have taken a course on the mathematics teaching in the dynamic mathematics software environment have voluntarily participated to the study. The participants have randomly divided into two groups. Each group has worked on computer together and is asked to draw two dimensions shapes like triangles, parallelogram, rectangle etc. without using related “tool of Cabri”. The collection of the data of this study involves interviews during their work, screen record of the computer and tape record of conversation among pair of participants. The results of study reveal that more professionally the participants use the Cabri Geometry more different strategies they use to construct asked shapes and participants have always questioned themselves about their pre-knowledge of the dynamically constructed shape.

scholarly journals The Relationship between pre-service elementary school mathematics teachers’ beliefs about epistemology of mathematics, teaching and learning, and mathematics assessment

2021 ◽  
Vol 11 (1) ◽  
pp. 40
Author(s):  
Kimura Patar Tamba ◽  
Wiputra Cendana
Keyword(s):  
Elementary School ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Mathematics Assessment ◽  
Elementary School Mathematics ◽  
Epistemology Of Mathematics ◽  
Mathematics Teaching And Learning ◽  
And Mathematics ◽  
The Relationship

<div><p>This study aims to examine the relationship between epistemological beliefs, teaching-learning beliefs and assessment beliefs in mathematics education. This research is a quantitative study with a correlational study. Data collection using the survey method with a cross-sectional design. The participants were 71 pre-service elementary school  , mathematics teachers. The data on beliefs were collected through means of a questionnaire. The data collected from the questionnaire were then analyzed quantitatively through descriptive and inferential statistics. Descriptive statistics utilizes the mean value, maximum value, and standard deviation values. Inferential statistics use the product-moment correlation as well as path analysis. The research results show that there is a positive and significant correlation between static and dynamic beliefs on epistemology of mathematics, and the constructivist beliefs on mathematics teaching and learning, with the productive beliefs on mathematics assessment. In addition, there is seen to be a functional influence between both epistimological beliefs (both static and dynamic), as well as beliefs on teaching and learning (constructivist) and beliefs about mathematic assessment (productive). The results of this research signify the importance of considering one’s beliefs about the epistemology of mathematics and mathematics teaching and learning when constructing their beliefs regarding mathematics assessment.</p></div>

scholarly journals Notes on the historical conceptual streams for mathematics and physics teaching

2013 ◽  
Vol 54 ◽  
Author(s):  
Raffaele Pisano
Keyword(s):  
History Of Science ◽  
Mathematics Teaching ◽  
Physics Teaching ◽  
Teaching Process ◽  
History Of ◽  
And Mathematics ◽  
The Relationship ◽  
Mathematics And Physics

Based on recent researches of mine concerning history and epistemology of sciences (physics and mathematics) one side and foundations of sciences within my physics and mathematics teaching other side, in this paper I briefly discuss and report the role played by history of science within physics and mathematics teaching. Some case-study on the relationship between mathematics, physics and logics in the history and teaching process are presented, as well.

Mathematics Teachers’ Understanding of Privilege and Oppression

2021 ◽  
Vol 9 (3) ◽  
pp. 168-183
Author(s):  
Tonya Bartell ◽  
Courtney Koestler ◽  
Mary Q. Foote
Keyword(s):  
Professional Development ◽  
Mathematics Education ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teacher Educators ◽  
Mathematics Teacher Educators ◽  
Systemic Level ◽  
Mathematics Teaching And Learning ◽  
Multiple Levels

The Access, Allies, and Agency in Mathematical Systems project team designed a professional development for mathematics teachers positioning equity at the systemic level and activities aimed at supporting mathematics teachers in considering the influence of privilege and oppression on mathematics teaching and learning (Scroggins, 2017). Here, we examine the levels of oppression activity, aimed at supporting mathematics teachers in understanding that oppression operates at multiple levels (i.e., as a system) and that these levels exist and operate in/on mathematics education. Such understanding can support mathematics teachers in disrupting inequities, and how mathematics teachers engage in this activity can support mathematics teacher educators in preparing teachers to do such work. Specifically, we explore the question: How does this activity support mathematics teachers’ understanding of levels of oppression?

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