scholarly journals GeoGebra integration and effectiveness in the teaching and learning of mathematics in secondary schools: A review of literature

2020 ◽  
Vol 16 (1) ◽  
pp. 1-13
Author(s):  
Marie Sagesse Uwurukundo ◽  
Jean François Maniraho ◽  
Michael Tusiime
Keyword(s):  
Teaching And Learning ◽  
Mathematical Concepts ◽  
Analytical Thinking ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
The Difference ◽  
Main Construct ◽  
The One ◽  
And Control ◽  
Deep Exploration

This article explores studies that investigated GeoGebra integration and its effectiveness in teaching and learning mathematics. The study examines existing studies on how and why GeoGebra enhanced students’ performance; understanding, analytical thinking, generalization, abstract thinking, representation, and logical thinking. By a deep exploration of the main construct of the study, we collected and analyzed 20 studies whose results reported that GeoGebra added values when applied in teaching and learning in different mathematical domains. The reviewed literature identified four domains in Mathematics: Geometry, Algebra, Calculus, and Trigonometry that was studied. The majority of the reviewed studies investigated the integration of GeoGebra in Geometry and few studies were found in other mathematical domains. The literature ascertains that students can explore independently the software and acquire mathematical concepts with minimum assistance from the teacher. The results from the reviewed literature, on the one hand, indicated 16/20 or (80 %) of the studies generally showed that GeoGebra is effective in teaching and learning Mathematics since GeoGebra contributed in enhancing students’ understanding of mathematical concepts and improved students’ interest to learn mathematics. On the other hand, only 4/20 studies or (20%) showed non-effectiveness of GeoGebra since students in both experimental and control groups did not show the difference in their performance after being both given post-tests or an interview. This may indicate that although GeoGebra seems to be largely effective, such effectiveness is dependent on the way it is integrated into the teaching and learning process. Therefore, we recommend that other research should step up investigating why most of the studies were found in the Geometry domain and few in other domains.

The Process of Thinking among Junior High School Student in Solving HOTS Question

2015 ◽  
Vol 4 (3) ◽  
pp. 138 ◽  
Author(s):  
Bakry Bakry ◽  
Md Nor Bin Bakar
Keyword(s):  
Junior High School ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Real Life ◽  
Thinking Skills ◽  
Mathematical Concepts ◽  
Mathematics Problems ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Thinking Process

Higher order thinking skills (HOTS) is one of the important aspect of teaching and learning mathematics. By using HOTS, student will be able to acquire a deep understand of mathematical concepts and can be applied in real life. Students ability to develop the capacity of the HOTS is closely related with thinking processes while solving mathematics problems. This research focused, at describing the thinking process of students in solving mathematical problem involving HOTS problem. The method used is a qualitative method and case study design, the data collected through mathematics tests and interviews. There are 3 students selected as participant Data analysis techniques are descriptive qualitative, analysis according to the model proposed by Miles and Huberman (1992), namely data reduction, data presentation and conclusion. The result of the study showed that the students thinking process in solving mathematics problem is by using the systematic thinking (1) creating of meaning (2) making of opinion, and 3) making conclution.

scholarly journals The Language of “Rate of Change” in Mathematics

2021 ◽  
Vol 11 (4) ◽  
pp. 1599-1609
Author(s):  
Evgenios Avgerinos ◽  
Dimitra Remoundou
Keyword(s):  
Mathematical Analysis ◽  
Teaching And Learning ◽  
Rate Of Change ◽  
Mathematical Concepts ◽  
Everyday Language ◽  
Essential Aspect ◽  
Concept Images ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

Language is an essential aspect of teaching and learning mathematics. It is necessary for communication, the transmission of concepts and ideas, and the formation of meaning of mathematical concepts. In mathematics, besides symbols, which are usually common among different languages, words and expressions are used, which may invoke different concept images to students in various languages. Some words are used in mathematics and in everyday language with different meanings, while others are used only in mathematics or in mathematics and other disciplines in similar but non-identical ways. In Mathematical Analysis, the used vocabulary is gradually enhanced, and the concepts are defined in a more formal way. In the current study, the language used regarding mathematics of change is examined, focusing on “rate of change”, and its relation to misconceptions among students.

scholarly journals The Language of “Rate of Change”

2021 ◽  
Author(s):  
Evgenios Avgerinos ◽  
Dimitra Remoundou
Keyword(s):  
Mathematical Analysis ◽  
Teaching And Learning ◽  
Rate Of Change ◽  
Mathematical Concepts ◽  
Everyday Language ◽  
Essential Aspect ◽  
Concept Images ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

Language is an essential aspect of teaching and learning mathematics. It is necessary for communicating, transmission of concepts and ideas, and formation of meaning of mathematical concepts. In mathematics, besides symbols, which are usually common in different languages, words and expressions are used, which may invoke different concept images to students in various languages. Some words are used in mathematics and in everyday language with different meanings, while others are used only in mathematics or in mathematics and other disciplines in similar but non-identical ways. In Mathematical Analysis, the used vocabulary is gradually enhanced, and the concepts are defined in a more formal way. In the current study, the language used regarding mathematics of change is examined, focusing on rate of change and in relation to misconceptions of students.

scholarly journals Algebraic Skills and Academic Achievement in Mathematics of Grade 7 Students in a Philippine Chinese School

2021 ◽  
Vol 4 (3) ◽  
pp. 57-64
Author(s):  
Nery S. Garinganao ◽  
Francis Jose D. Bearneza
Keyword(s):  
Academic Achievement ◽  
Mathematics Achievement ◽  
Teaching And Learning ◽  
Secondary Data ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Significant Difference ◽  
Chinese School ◽  
Achievement In Mathematics ◽  
The Difference

Mathematics achievement is an essential part of a student's academic achievement. However, teaching and learning mathematics is a significant concern in education, especially in distance learning.  This paper described the algebraic skill level and academic achievement in mathematics of Grade 7 students of a Chinese high school. Also, it determined the difference in their level of algebraic skills according to learning modality. It determined whether a significant relationship exists between algebraic skills and academic achievement. Using the researcher-made questionnaire and students' secondary data (average grade from the first quarter to the fourth quarter in Mathematics), mean, standard deviation, Kruskal-Wallis, and Spearman's rho were used. Results reveal that the level of algebraic skills were average while academic achievement levels were approaching proficient. No significant difference was found in their algebraic skills level according to learning modality. However, the significant low relationship was found between the students’ level of algebraic skills and academic achievement.

scholarly journals Problematizing teaching and learning mathematics as “given” in STEM education

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Yeping Li ◽  
Alan H. Schoenfeld
Keyword(s):  
Mathematics Education ◽  
Stem Education ◽  
Teaching And Learning ◽  
Science Technology ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Alternative Approach ◽  
And Mathematics ◽  
Scientific Engineering

AbstractMathematics is fundamental for many professions, especially science, technology, and engineering. Yet, mathematics is often perceived as difficult and many students leave disciplines in science, technology, engineering, and mathematics (STEM) as a result, closing doors to scientific, engineering, and technological careers. In this editorial, we argue that how mathematics is traditionally viewed as “given” or “fixed” for students’ expected acquisition alienates many students and needs to be problematized. We propose an alternative approach to changes in mathematics education and show how the alternative also applies to STEM education.

Teaching and Learning Mathematics

1987 ◽  
Vol 71 (458) ◽  
pp. 314
Author(s):  
Paul Ernest ◽  
Peter G. Dean
Keyword(s):  
Teaching And Learning ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

scholarly journals A Study of Errors and Misconceptions in the Learning of Addition and Subtraction of Directed Numbers in Grade 8

SAGE Open ◽  
2016 ◽  
Vol 6 (4) ◽  
pp. 215824401667137 ◽  
Author(s):  
Judah Paul Makonye ◽  
Josiah Fakude
Keyword(s):  
Conceptual Understanding ◽  
Teaching And Learning ◽  
Study Data ◽  
Negative Numbers ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Number Lines ◽  
Addition And Subtraction ◽  
Logical Errors ◽  
Grade 8

The study focused on the errors and misconceptions that learners manifest in the addition and subtraction of directed numbers. Skemp’s notions of relational and instrumental understanding of mathematics and Sfard’s participation and acquisition metaphors of learning mathematics informed the study. Data were collected from 35 Grade 8 learners’ exercise book responses to directed numbers tasks as well as through interviews. Content analysis was based on Kilpatrick et al.’s strands of mathematical proficiency. The findings were as follows: 83.3% of learners have misconceptions, 16.7% have procedural errors, 67% have strategic errors, and 28.6% have logical errors on addition and subtraction of directed numbers. The sources of the errors seemed to be lack of reference to mediating artifacts such as number lines or other real contextual situations when learning to deal with directed numbers. Learners seemed obsessed with positive numbers and addition operation frames—the first number ideas they encountered in school. They could not easily accommodate negative numbers or the subtraction operation involving negative integers. Another stumbling block seemed to be poor proficiency in English, which is the language of teaching and learning mathematics. The study recommends that building conceptual understanding on directed numbers and operations on them must be encouraged through use of multirepresentations and other contexts meaningful to learners. For that reason, we urge delayed use of calculators.

Mogućnosti primene istraživački zasnovane nastave (IN) u početnom matematičkom obrazovanju

2021 ◽  
Author(s):  
Dragana Glogovac ◽  
◽  
Marina Milošević ◽  
Bojan Lazić ◽  
Keyword(s):  
Teaching And Learning ◽  
Teaching Practice ◽  
Teaching Mathematics ◽  
Teaching Process ◽  
Inquiry Based Learning ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Key Competencies ◽  
Insight Into

Modern primary education, especially mathematics, requires constant innovation of teaching practice in order to modernize, rationalize, and efficiently the teaching process. Teaching mathematics should be experienced as a process that promotes learning with understanding, stimulates motivation, active learning, research, critical thinking, analysis, problem solving, drawing conclusions, exchange of experiences. The tendency to improve the quality of mathematics education has resulted in many studies pointing to the benefits of research-based mathematics (IN) teaching, known as inquiry-based learning (IBL), recognized as an essential way of organizing the teaching process to develop key competencies, abilities and skills in 21st century. Тhe aim of this paper is to see, based on a comprehensive theoretical analysis and the results of previous research. The created model of teaching mathematics based on research represents a useful framework for improving the quality of the process of teaching and learning mathematics, and empowers teachers in its application and affirmation, gaining insight into the way of organizing research learning.

scholarly journals Student teachers’ perceptions of democracy in the mathematics classroom: Freedom, equality and dialogue

Pythagoras ◽  
2012 ◽  
Vol 33 (2) ◽  
Author(s):  
Wajeeh Daher
Keyword(s):  
Teacher Education ◽  
Student Teachers ◽  
Teaching And Learning ◽  
Mathematics Classroom ◽  
Mathematics Teacher Education ◽  
Comparison Method ◽  
Teachers Perceptions ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Two Stages

This article studies student teachers’ perceptions of the pedagogic and didactic aspects of teaching and learning mathematics in a democratic classroom. It is concerned primarily with issues of democracy in the mathematics classroom, specifically freedom, equality and dialogue. The research was conducted in two mathematics teacher education classes, where students were in their third year of study to major in mathematics. To find these students’ perceptions of democracy in the mathematics classroom the first two stages of the constant comparison method were followed to arrive at categories of democratic and undemocratic acts. The participants in the research emphasised that instructors should refrain from giving some students more time or opportunities to express themselves or act in the mathematics classroom than other students, because this would make them feel unequal and possibly make them unwilling to participate further in the mathematics classroom. The participants also emphasised that instructors should not exert their power to stop the flow of students’ actions in the mathematics classroom, because this would trouble them and make them lose control of their actions. Further, the participants mentioned that instructors would do better to connect to students’ ways of doing mathematics, especially of defining mathematical terms, so that students appreciate the correct ways of doing mathematics and defining its terms.

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