A Linked-Data Method to Organize an XML Database for Mathematics Education

Author(s):  
Alan Edward Bickel ◽  
Elisa E. Beshero-Bondar ◽  
Tim Larson

This paper presents work in progress to support fine-grained semantic relationships between mathematical concepts and educational resources. Can RDF ontologies and XML structure support a high-capacity database application for lesson planning, teaching, assessment, and tutoring?

1996 ◽  
Vol 178 (2) ◽  
pp. 15-32 ◽  
Author(s):  
Albert A. Cuoco ◽  
E. Paul Goldenberg

New technology poses challenges to mathematics educators. How should the mathematics curriculum change to best make use of this new technology? Often computers are used badly, as a sort of electronic flash card, which does not make good use of the capabilities of either the computer or the learner. However, computers can be used to help students develop mathematical habits of mind and construct mathematical ides. The mathematics curriculum must be restructured to include activities that allow students to experiment and build models to help explain mathematical ideas and concepts. Technology can be used most effectively to help students gather data, and test, modify, and reject or accept conjectures as they think about these mathematical concepts and experience mathematical research.


2018 ◽  
Vol 4 (1) ◽  
pp. 107-135 ◽  
Author(s):  
Firat Soylu ◽  
Frank K. Lester ◽  
Sharlene D. Newman

Even though mathematics is considered one of the most abstract domains of human cognition, recent work on embodiment of mathematics has shown that we make sense of mathematical concepts by using insights and skills acquired through bodily activity. Fingers play a significant role in many of these bodily interactions. Finger-based interactions provide the preliminary access to foundational mathematical constructs, such as one-to-one correspondence and whole-part relations in early development. In addition, children across cultures use their fingers to count and do simple arithmetic. There is also some evidence for an association between children’s ability to individuate fingers (finger gnosis) and mathematics ability. Paralleling these behavioral findings, there is accumulating evidence for overlapping neural correlates and functional associations between fingers and number processing. In this paper, we synthesize mathematics education and neurocognitive research on the relevance of fingers for early mathematics development. We delve into issues such as how the early multimodal (tactile, motor, visuospatial) experiences with fingers might be the gateway for later numerical skills, how finger gnosis, finger counting habits, and numerical abilities are associated at the behavioral and neural levels, and implications for mathematics education. We argue that, taken together, the two bodies of research can better inform how different finger skills support the development of numerical competencies, and we provide a road map for future interdisciplinary research that can yield to development of diagnostic tools and interventions for preschool and primary grade classrooms.


2007 ◽  
Vol 5 (1) ◽  
Author(s):  
Genevieve Boulet

The role that language plays in the teaching and learning of mathematics is at the forefront of current literature in mathematics education. In this paper, I give particular attention to the manner in which teachers and students engage in the exploration of mathematical concepts and procedures with the goal of revealing how language impacts students’ learning. Through a series of examples of language commonly used in the mathematics classroom, I address specific issues pertaining to language used to describe mathematical processes, to read and interpret notation, and to define mathematical terms. Considering that communication is a key factor in the building of understanding, it is hoped that these examples will motivate teachers to examine and to adapt their own practices in order to cultivate productive and meaningful mathematical discourse in their classrooms.


2018 ◽  
Vol 16 (1) ◽  
pp. 42-54 ◽  
Author(s):  
Susilahudin Putrawangsa ◽  
Uswatun Hasanah

The recent study intends to describe the roles and the principles of integrating digital technology in education at the 4th Industrial Era. The integrartion is studied from mathematics education perspective. It is concluded that the basic principle of integrating digital technology in mathematics education is that the technology does not diminish students’ conceptual understanding or replace students’ intuitions in doing mathematics. Conversely, the technology is utilized to boost students’ conceptual understanding and maximize the development of students’ intuition in doing mathematics. It is identified that there are three didactical functions of digital technology in mathematics education, such as: (1) Technology for doing mathematics,  that is the technology is incorporated as alternative learning media in doing mathematical activities; (2) Technology for practicing skills, that is the technology is utilized as a learning environment to master particular mathematical skills; (3) Technology for developing conceptual understanding, that is the technology is integrated as a learning environment to develop students’ conceptual understanding of specific mathematical concepts. This last didactical function is the most expected of integrating digital technology in mathematics education.


2018 ◽  
Vol 1 (2) ◽  
pp. 56
Author(s):  
Aan Putra ◽  
Hendra Syarifuddin ◽  
Zulfah Zulfah

Abstract. Learning equipment is important things that determine the quality of the learning process and output. We need a study about validity, practicality, and effectiveness of the learning equipment to ensure teaching and learning quality. The purpose of this research is to evaluate the validity of the learning equipment based on guided discovery, especially the students’ worksheets. This research was a descriptive qualitative research that provides the result of students’ worksheets and experts recommendation. The experts who validated these student’s worksheets were three experts on mathematics education. The instruments used in this study was the validation sheets for LKPD. The result of validation sheets analysis for LKPD showed that in general, the students’ worksheets were valid. The validity of the didactical aspect and contents aspect sequently were 0,667 dan 0,704. Keywords: students’ worksheets, guided discovery, mathematical concepts understanding, mathematical reasoning abilities Abstrak. Perangkat pembelajaran merupakan kelengkapan pelaksanaan proses pembelajaran yang sangat penting dan menentukan capaian proses dan hasil pembelajaran. Untuk menjamin kualitas perangkat pembelajaran, dibutuhkan kajian khusus untuk menilai validitas, praktikalitas dan efektifitas perangkat pembelajaran yang digunakan. Penelitian ini bertujuan untuk menilai aspek validitas perangkat pembelajaran, khususnya Lembar Kerja Peserta Didik (LKPD) berbasis penemuan terbimbing yang digunakan dengan tujuan meningkatkan kemampuan pemahaman konsep dan penalaran matematis siswa. Penelitian ini merupakan penelitian kualitatif deskriptif yang menyajikan data hasil validasi dan saran validator terhadap validitas LKPD berbasis penemuan terbimbing. Validator terdiri dari tiga orang pakar pendidikan Matematika. Instrumen yang digunakan adalah lembar validasi LKPD. Hasil analisis terhadap lembar validasi menunjukkan bahwa secara umum LKPD memenuhi kriteria valid. Validitas aspek didaktik dan aspek isi berturut-turut adalah 0,667 dan 0,704. Kata Kunci: validitas lembar kerja peserta didik,  penemuan terbimbing, pemahaman konsep matematis, kemampuan penalaran matematis


Author(s):  
Liliana Rafikovna Shakirova ◽  
◽  
Alexander Mikhailovich Elizarov ◽  
Evgeny Konstantinovich Lipachev ◽  
Alik Vitalievich Kirillovich ◽  
...  

2019 ◽  
Vol 4 (1) ◽  
pp. 33-43
Author(s):  
Andrik Habibi ◽  
Tri Novita Irawati

Understanding of mathematical concepts is the ability of students to understand facts related to mathematics which can be expressed again in easily understood languages. The problem examined in this study is research on improving mathematical understanding of integer operations through the application of Probing Prompting Learning (PPL) with Realistic Mathematic Education (RME) approach. The method used is observation, documentation, interviews, and test methods, while the data analysis uses the percentage formula of the results of observations and the percentage of completeness of learning outcomes formula. Keyword: probing prompting learning, realistic mathematic education         


Author(s):  
Carol Carruthers ◽  
Dragana Martinovic ◽  
Kyle Pearce

This chapter discusses the integrated experiences of a group of instructors who are using tablets to teach mathematics to adolescents and young adults. iPad technology offers learners in different educational streams and with different knowledge bases an environment that fosters the growth of a community of learners engaged in mathematical concepts and processes. The authors present an in-depth examination of the design of a tablet-based mathematics education environment and provide a statistical analysis to highlight the full richness of their classroom-based experiments. The results are presented using the five foundational aspects of a conceptual framework for the successful implementation of technology in a K-12 environment.


1977 ◽  
Vol 24 (1) ◽  
pp. 63-64
Author(s):  
Neil J. Jeffrey

The theme that physical devices illustrating mathematical concepts enhance children's understanding of those concepts is an old one. A Atempting to integrate various branches of mathematics is a current trend in mathematics education. For these reasons, I was particularly interested in the somewhat unexpected appearance on my geoboard of the greatest common factor (GCF) of the two numbers with which I was working.


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