301 research outputs found

    Constructing Calculus Concepts through Worksheet Based Problem-Based Learning Assisted by GeoGebra Software

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    This study aims to produce a valid, practical, and effective calculus learning worksheet using a problem-based learning method assisted by GeoGebra software in improving problem-solving skills. This worksheet serves as a guide to students in constructing the calculus concepts through the provided instructions according to the Problem-Based Learning syntax. Furthermore, the construction process was carried out using GeoGebra software. Students are given scaffolding to construct concepts. This research is development research. This study employs a Plomp model, which consists of three stages, namely the preliminary study, development or prototyping, and assessment phases. The subjects are 32 students in class XI.2 at the State Senior High School of 14 Padang. The results showed that the worksheet produced was valid, practical, and effective in improving students' problem-solving abilities. This implies that it would assist students in constructing calculus concepts. Furthermore, it showed that GeoGebra is capable of visualizing abstract calculus concepts, which enables students to understand higher mathematical thinking on the main concept of calculus. In conclusion, the use of GeoGebra in mathematics learning is able to help students construct mathematical concepts and improve their problem-solving abilities. Doi: 10.28991/HIJ-2022-03-03-04 Full Text: PD

    Roles of technologies for future teaching in a pandemic: activity, agency, and humans-with-media

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    Research literature on the role of mathematics teachers during the COVID-19 crisis shows that teacher preparation for emergency situations is required. In reporting on this exploratory study, we present and analyse lesson plans created by seven future teachers for mathematics classes during the pandemic. Data were collected between April and October 2021 from 16 four-hour class sessions in a Mathematics Degree Program at a public university in Medellín, Colombia. The notion of Humans-with-Media and the Learning by Expanding theory were used as frameworks to understand what roles prospective mathematics teacher (PMTs) assign to technologies for teaching in pandemic conditions. The PMTs’ uses of technology for teaching mathematics during a pandemic were categorized. The results show that technology was used to reorganize and reproduce mathematics teaching practices. This report addresses the impact of technology on the activity system, and we conclude with a discussion of opportunities and limitations of students’ conceptions about teaching and technology during a pandemic

    Islamic Integrated Information Communication Technology Mathematics Learning Model for Students' Creativity and Environmental Awareness

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    Mathematics teachers in integrated Islamic schools in Maluku are having problems implementing the integration of Islam into mathematics learning. This study aims to develop a learning model based on Islamic Integrated Information Communication Technology (IICT) to help teachers increase creativity in mathematical problem solving and students' environmental awareness. The main output of this research is an ICT-based active learning model that integrates Islamic sciences into mathematics learning to support the development of creativity skills in solving mathematical problems and students' environmental awareness at an early age. The development of the learning model in this study is a combination of the Plomp (2013), Dick & Carey (2015), and Joyce et al. (2009). Plomp's model was used for the research and model development phase, Dick & Carey for instructional design, and Joyce et al. for the model's contents. The resulting model is an adaptation of the hierarchical and procedural combination of the three developments. The research subjects are mathematics teachers and students. The data analysis technique used is the analysis of the instrument's validity, the IICT model, the practicality, and the effectiveness of the IICT model. Based on expert validation and testing results, the resulting model meets the needs of mathematics teachers and students of SMP/MTs in an integrated Islamic school environment. The results showed that the IICT learning model was qualified to help teachers integrate Islam in mathematics learning, increase creativity in solving math problems, and students' environmental awareness

    A Meta-Analysis of the Last Two Decades of Realistic Mathematics Education Approaches

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    Today, hundreds of studies on the technique known as Realistic Mathematics Education (RME) have been discovered. Numerous trials yielding contradicting results. The purpose of this meta-analysis is to ascertain the overall effect of RME and to examine the moderator variables in order to explore the consequences. The ERIC database, Sage publications, Springer publications, semantic scholars, and Google scholars were used to identify empirical data. The study examined 54 effect sizes from 38 individual studies conducted in the past two decades, involving 6140 participants. The estimation procedure was according to the random effects model, and statistical calculations were performed using the CMA program. According to the research findings, the study's overall effect size was 0.97. This suggests that implementing RME has a significant favourable influence on pupils' mathematical abilities. Moderator variables analysis shows that RME implementation would be more efficient when considering sample size, intervention length, learning mix, and education level. This finding contributes to the future implementation of RME to consider those variables that are shown to moderate the studies' effect sizes. Finally, comparisons of RME across countries and limitations of the study are discussed, providing vital information as a starting point for later studies and development of RME

    Exploring Local Culture through Geometry Transformation: a Study of Banyumasan Batik

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    Banyumasan batik is one of Indonesia's cultural heritages from Banyumas Regency, which has unique and interesting patterns and motifs. This research paper describes the mathematical modelling of geometric transformations in Banyumasan batik. Geometric transformation is a mathematical technique for changing the shape or position of an object on a plane. This is qualitative research with an ethnographic approach. Data is collected through observation, interviews, and documentations. The data obtained were analysed using content analysis to identify various Banyumasan batik motifs that can be transformed into geometric forms. This study describes the basic geometric transformations, namely translations in Sekar Tirta batik motif, reflections in Bawor Kembar batik motif, dilations in Kawung Jenggot batik motif, and rotations in Manggar Bawor batik motif which applied to Banyumasan batik motifs. The results of this study include geometric transformations of Banyumasan batik motifs which are expected to positively contribute to the development of Indonesian art and culture, especially in the field of batik, enrich insight and knowledge about the application of mathematics in everyday life, and can be used for mathematical modelling and mathematics education based on local culture

    Покращення навчального середовища для майбутніх учителів математики із застосуванням динамічної математичної системи GeoGebra AR

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    Immersive technologies and, in particular, augmented reality (AR) are rapidly changing the sphere of education, especially in the field of science, technology, engineering, arts and mathematics. High- quality professional training of a future mathematics teacher who is able to meet the challenges that permeate all sides, the realities of the globalizing information society, presupposes reliance on a highly effective learning environment. The purpose of the research is to transform the traditional educational environment for training future mathematics teachers with the use of the GeoGebra AR dynamic mathematics system, the introduction of cloud technologies into the educational process. The educational potential of GeoGebra AR in the system of professional training of future mathematics teachers is analyzed in the paper. Effective and practical tools for teaching mathematics based on GeoGebra AR using interactive models and videos for mixed and distance learning of students are provided. The advantages of the GeoGebra AR dynamic mathematics system are highlighted. The use of new technologies for the creation of didactic innovative resources that improve the process of teaching and learning mathematics is presented on the example of an educational and methodological task, the purpose of which is to create didactic material on the topic “Sections of polyhedra”. While solving it, future teachers of mathematics should develop the following constituent elements: video materials; test tasks for self-control; dynamic models of sections of polyhedra; video instructions for constructing sections of polyhedra and for solving basic problems in the GeoGebra AR system. The article highlights the main characteristics of the proposed educational environment for training future mathematics teachers using the GeoGebra AR dynamic mathematics system: interdisciplinarity, polyprofessionalism, dynamism, multicomponent.Іммерсивні технології і, зокрема, доповнена реальність (AR) швидко змінюють сферу освіти, особливо в галузі науки, техніки, техніки, мистецтва та математики. Якісна професійна підготовка майбутнього вчителя математики, здатного вирішити виклики, що пронизують усі сторони, реалії глобалізуючого інформаційного суспільства, передбачає опору на високоефективне середовище навчання. Метою дослідження є трансформація традиційного освітнього середовища для підготовки майбутніх учителів математики з використанням динамічної математичної системи GeoGebra AR, впровадження хмарних технологій у навчальний процес. У статті проаналізовано освітній потенціал GeoGebra AR у системі професійної підготовки майбутніх учителів математики. Надаються ефективні та практичні інструменти для навчання математики на основі GeoGebra AR з використанням інтерактивних моделей та відеороликів для змішаного та дистанційного навчання студентів. Висвітлено переваги динамічної математичної системи GeoGebra AR. Використання нових технологій для створення дидактичних інноваційних ресурсів, що покращують процес навчання та вивчення математики, представлено на прикладі навчально -методичного завдання, метою якого є створення дидактичного матеріалу на тему “Розділи багатогранників” . Під час її вирішення майбутні вчителі математики повинні розробити такі складові елементи: відеоматеріали; тестові завдання для самоконтролю; динамічні моделі перерізів багатогранників; відео інструкції для побудови розділів багатогранників та для вирішення основних задач у системі AR GeoGebra. У статті висвітлено основні характеристики пропонованого освітнього середовища для підготовки майбутніх учителів математики з використанням динамічної математичної системи GeoGebra AR: міждисциплінарність, оліпрофесіоналізм, динамічність, багатокомпонентність

    Proceedings of the 12th International Conference on Technology in Mathematics Teaching ICTMT 12

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    Innovation, inclusion, sharing and diversity are some of the words that briefly and suitably characterize the ICTMT series of biennial international conferences – the International Conference on Technology in Mathematics Teaching. Being the twelfth of a series which began in Birmingham, UK, in 1993, under the influential enterprise of Professor Bert Waits from Ohio State University, this conference was held in Portugal for the first time. The 12th International Conference on Technology in Mathematics Teaching was hosted by the Faculty of Sciences and Technology of the University of Algarve, in the city of Faro, from 24 to 27 June 2015, and was guided by the original spirit of its foundation. The integration of digital technologies in mathematics education across school levels and countries, from primary to tertiary education, together with the understanding of the phenomena involved in the teaching and learning of mathematics in technological environments have always been driving forces in the transformation of pedagogical practices. The possibility of joining at an international conference a wide diversity of participants, including school mathematics teachers, lecturers, mathematicians, mathematics educators and researchers, software designers, and curriculum developers, is one facet that makes this conference rather unique. At the same time, it seeks to foster the sharing of ideas, experiences, projects and studies while providing opportunities to try-out and assess tools or didactical proposals during times of hands-on work. The ICTMT 12 had this same ambition, when embracing and welcoming just over 120 delegates who actively and enthusiastically contributed to a very packed program of scientific proposals and sessions on various topics

    Jigsaw co-operative learning strategy integrated with Geogebra : a tool for content knowledge development of intermediate Calculus for first year undergraduate learners of two public universities in Ethiopia

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    Intermediate calculus bridges secondary school and advanced university mathematics courses. Most mathematics education research literatures indicated that the conceptual knowledge in intermediate calculus has challenged first year undergraduate mathematics and science learners to a great extent through the lecture method. The content knowledge attained by them has been tremendously decreasing. Negative attitude exhibited by students toward calculus was highly influenced by the lecture method used. Generally, students have not looked at the learning of all mathematics courses offered in universities as normal as other courses. Due to this lack of background conceptual knowledge in learners, they have been highly frustrated by the learning of advanced mathematics courses. Taking the understanding of teaching and learning challenge of conceptual knowledge of calculus into consideration, Ethiopian public universities have been encouraging instructors to devise and implement active learning methods through any professional development training opportunity. The training was aimed to enhance learners’ content knowledge and attitude towards calculus. This is one of the main reasons for the motivation of this study that experimental group learners were allowed to be nurtured by the lecture method in their mainstream class, and then also the active learning intervention method integrated with GeoGebra in the mathematics laboratory class. Only conventional lecture method was used to teach the comparison group in both the mainstream and mathematics laboratory class. The purpose of the study was to explore the Gambari and Yusuf (2016) stimulus of the jigsaw co-operative learning method combined with GeoGebra (JCLGS) on statistics and chemistry learners’ content knowledge improvement and change of their attitude towards calculus. The post-positivism mixed methods tactic was used in a non-equivalent pre- and post-test comparison group quasi-experimental design. The population of the study was the whole freshman mathematics and science degree program learners of two public universities in Ethiopia in 2017. Samples of the size 150 in both the experimental and comparison groups were drawn utilizing two-stage random sampling technique. A questionnaire using a Likert-scale on attitudes and an achievement test were sources used for data collection. Data analysis employed descriptive statistics conducting an independent samples t-test and a Two Way ANOVA for repeated measures using SPSS23. Each of the findings on content knowledge, conceptual knowledge, and procedural knowledge development produced through the TWO-Way ANOVA, respectively as F(1,148)=80.917; 2=.353; p<.01, F(1,148)=106.913; 2=.419; p<.01, and F(1,148)=7.328; 2=.047; p<.01, revealed a statistically significant difference between the treatment and comparison groups from pre-test to post-test. These findings show that the experimental group participants were highly beneficial in developing their content knowledge and conceptual knowledge through the active learning approach and technology-based learning strategy using Vygotsky’s socio-cultural learning theory. The JCLGS learning environment representing Vygotsky’s socio-cultural learning theory modestly influenced the procedural knowledge learning of the experimental group learners’. Although the lecture method affected the comparison group students’ knowledge development in calculus during the academic semester, the impact was not comparable to that of the active learning approach and technology-based learning strategy. The major reason for this was the attention and care given to the active learning intervention integrated with GeoGebra by the researcher, data collectors, and research participants. Overall findings showed that the active learning intervention allowed the experimental group students to considerably enhance their conceptual knowledge and content knowledge in calculus. Learners also positively changed their opinion towards calculus and GeoGebra. The intervention was a group interactive environment that allowed students’ to be reflective, share prior experience and knowledge, and independent learners. As a matter of fact, educators are advised to model such a combination of active learning approach and technology-based learning strategy in their classroom instructional setting and practices. Consequently, their learners will adequately benefit to understand the subject matter and positively change their opinion towards university mathematics.Mathematics EducationPh. D. (Mathematics, Science and Technology Education
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