Interactive Web-Based Tools for Learning Mathematics

2012 ◽  
pp. 274-306
Author(s):  
Barry Cherkas ◽  
Rachael M. Welder

There is an abundance of Web-based resources designed for mathematics teachers and learners at every level. Some of these are static, while others are interactive or dynamic, giving mathematics learners opportunities to develop visualization skills, explore mathematical concepts, and obtain solutions to self-selected problems. Research into the efficacy of online mathematics demonstrations and interactive resources is lacking, but it is clear that not all online resources are equal from a pedagogical viewpoint. In this chapter, a number of popular and relevant websites for collegiate mathematics and collegiate preservice teacher education are examined. They are reviewed and investigated in terms of their interactivity, dynamic capabilities, pedagogical strengths and weaknesses, the practices they employ, and their potential to enhance mathematical learning both inside and outside of the collegiate classroom. Culled from these reviews is a working definition of “best practices”: condensing difficult mathematical concepts into representations and models that clarify ideas with minimal words, thereby enabling a typical student to grasp, quickly and easily, the underlying mathematics.

2002 ◽  
Vol 8 (6) ◽  
pp. 372-377
Author(s):  
Patricia S. Moyer ◽  
Johnna J. Bolyard ◽  
Mark A. Spikell

As a result of innovations in technology, the prevalence of the Internet, and the increasing availability of computers in classrooms and homes, an enhanced approach for teaching and learning mathematics using manipulatives and computers is emerging. This new approach essentially creates a new class of manipulatives, called virtual manipulatives, as well as new capabilities, or toolkits, for computer programs that use visual representations. These new virtual manipulatives have all the useful properties of existing computer manipulatives while overcoming many of their disadvantages, yet very little is known or written about them. The purpose of this article is to establish a working definition of virtual manipulatives, highlight examples of virtual manipulatives on the Internet, and discuss their current and potential classroom use.


Author(s):  
Derel Filandy Kaunang

In mathematics learning using compurter is needed. Computer-Assisted Mathematics is considered necessary in helping students to understand the lessons. Usingcomputers as a medium let the students understand the materials given,of course requires the role of teachers. Therefore it is necessary to conduct training for teachers with the aim of guiding the teachers to implement the learning process in assistance of computers to understand the materials that are difficult for students.The targets of this activity are: (1) To obtain the description of the quality of junior mathematics teachers in Computer-Assisted Mathematics (2) To increase students' interest in learning mathematics and students' understanding of the correct mathematical concepts related to materials which are abstract (3) To increase the use of Computer-Assisted media in learning mathematics. The targets of this activity are junior high school mathematics teachers in the district of Central Tomohon.Based on the results of observation and evaluation on the implementation of this activity, ofthe computer-assisted mathematics training obtained the following results: First, teachers have high enthusiasm in learning about thecomputer-assisted mathematics. Second, teachers can use computer aids in the form of mathematical software such as: (1) Geometer's Sketchpad in teachinggeometry,that is to draw the right kind of triangle and prove Pythagoras theorem. (2) Geogebra in teaching geometric transformation (reflection, rotation, dilation) and seeking solutions of SPLDV and SPTLDV. (3) Yenka to teach the matters of mathematical models. (4) Macromedia Flash products inlearningmathematics especially about planes. Overall, computer-assisted mathematics training activities, in the form of utilizing mathematics softwares, provides satisfaction for the participants. In addition, the highly perceived benefit is that teachers can use the software that has been studied in computer-assisted mathematics training to facilitate the students in understanding the concept of mathematics appropriately. Keywords: Workshops, Computer-Assisted Mathematics


Author(s):  
Λαμπρινή (Labrini) Νικόλαος Αλεξίου (Alexiou)

eTwinning is an innovative European program that strengthens lifelong learning and the main purpose of which is the networking of schools with the help of new technologies. It is an initiative of the European Commission to strengthen the collaborative distance learning and the implementation of new innovative instructional methods. Through literature review, this article explores the contribution of the eTwinning project to the cultivation of basic skills, which the European Parliament identifies as keys to an individual's lifelong learning. Mathematics are included in these skills. It is an attempt to show the schools' potential to cultivate the students' European identity and European skills, such as cooperation and respect for the perceptions and culture of other people. It is also a case study aimed at exploring the cognitive, creative, cooperative and technological dimensions of an eTwinning action, as well as the attitude of 18 students towards the distance learning action, which they participated in. Τhe subject of the eTwinning practice combines mathematical concepts applied in real context. 


2021 ◽  
Vol 1 (1) ◽  
pp. 28-37
Author(s):  
Fauziah Fauziah ◽  
Riska Amelia ◽  
Yusri Wahyuni

The development of information technology today is so fast that it affects all aspects of life including the field of education. In the field of education, especially mathematics lessons at the primary and secondary school levels, there have been many media or tools that can be used in teaching basic mathematical concepts, one of which is using Geogebra software. Mathematics teachers in SMP / MTs in Lengayang District, Pesisir Selatan Regency still have limitations in using computers as a tool for making learning media with the help of math software. The objectives of this community service are: Increase teachers' understanding of the role of mathematics learning media, and Improve teacher skills in using geogebra applications to create mathematics learning media. GeoGebra was chosen as an alternative because it has various advantages both theoretically and based on research results. The method used is training on GeoGebra, simulation, and evaluation. PKM activities are carried out on SMP / MTs mathematics teachers in Lengayang District, Pesisir Selatan Regency. Based on the results of this training, it was concluded that the teacher's knowledge and understanding of the importance of media in learning mathematics increased and the teacher was able to design mathematics learning media using GeoGebra software.


2019 ◽  
Vol 14 (2) ◽  
pp. 139-149
Author(s):  
Mohammad Archi Maulyda ◽  
Vivi Rachmatul Hidayati ◽  
Awal Nur Khalifatur Rosyidah ◽  
Iva Nurmawanti

Problem-solving is an important competency that must be owned by students. Problem-solving skills can facilitate students in understanding, connecting, and using mathematical concepts. Even so, mistakes in solving mathematical problems are still made by students. One reason is the lack of habituation of problem-solving in learning mathematics. Teachers who have good problem-solving skills will find it easier to teach and do an activity about problem-solving in learning mathematics. The purpose of this study is to describe the problem-solving ability of primary school teachers based on Polya’s method. This research method is descriptive-qualitative. The research subjects were primary mathematics teachers who taught in Mataram City, Indonesia. Each research subject solved three mathematical problems correctly and the problem-solving process will be analyzed based on Polya's method. The results obtained are teachers from city and suburb schools doing three indicators, namely identifying information on the problem, carrying out the procedure according to plan, and doing calculations correctly. Indicators of problem-solving that are not done are writing problem questions, making mathematical models, and writing final conclusions.Kemampuan Pemecahan Masalah Guru Sekolah Dasar Berdasarkan Metode Polya di Kota MataramAbstrakPemecahan masalah adalah salah satu kompetensi yang cukup penting. Kemampuan pemecahan masalah dapat memudahkan siswa dalam memahami, menghubungkan, dan menggunakan konsep-konsep matematika. Meskipun begitu, kesalahan dalam pemecahan masalah matematika masih dilakukan oleh siswa. Salah satu sebabnya adalah kurangnya pembiasan pemecahan masalah pada pembelajaran matematika di sekolah. Guru yang memiliki kemampuan pemecahan masalah yang baik, akan lebih mudah mengajarkan dan membiasakan pemecahan masalah pada pembelajaran matematika di sekolah. Tujuan dari penelitian ini adalah untuk mendeskripsikan kemampuan pemecahan masalah pada guru SD di Kota Mataram. Metode penelitian ini adalah deskriptif-kualitatif. Subjek penelitian adalah guru matematika SD yang mengajar di pusat dan pinggiran Kota Mataram. Masing-masing subjek penelitian menyelesaikan tiga masalah matematika dengan benar dan akan dianalisis proses penyelesaian masalahnya berdasarkan metode Polya. Hasil yang didapatkan adalah guru dari sekolah kota dan pinggiran melakukan tiga indikator, yakni mengidentifikasi informasi pada masalah, melakukan prosedur penyelesaian sesuai rencana, dan melakukan perhitungan dengan benar. Indikator penyelesaian masalah yang tidak dilakukan adalah  menuliskan pertanyaan masalah, membuat model matematika, dan menuliskan kesimpulan akhir.


PsycCRITIQUES ◽  
2013 ◽  
Vol 58 (25) ◽  
Author(s):  
Robert Farr

2019 ◽  
Vol 8 (2) ◽  
Author(s):  
Dwi Novita Sari ◽  
Putri Juwita

This study aims to improve the results of learning mathematics of elementary school students SDIT Deli Insani of class V on the subject matter of fractions by using number playing card media. The from of this study is classroom action research conducted in 2 cycles, using number playing cards at SDIT Deli Insani in class V Tanjung Morawa. The subjects of this study were the fifth grade students of SDIT Deli Insani, amounting to 30 students. This action was carried out in April 2018. Methods of collecting data using observation and documentation. The data analysis used is quantitative and qualitative analysis. The results of the study showed an increase in students' ability to understand concepts from the first cycle and second cycle. Percentage of increase in pre-action results, cycle I and cycle II students' concept comprehension ability that is 13.04% for indicators identifying number forms using number game cards (dominoes) and indicators solving problems in fractional form operations using dominoes 27.26%. the success indicator in cycle II reaches 80%. Thus the application of number game cards can improve students' understanding of mathematical concepts at SDIT Deli Insani in Class V.


2020 ◽  
Author(s):  
Amanda S Newton ◽  
Sonja March ◽  
Nicole D Gehring ◽  
Arlen K Rowe ◽  
Ashley D Radomski

BACKGROUND Across eHealth intervention studies involving children, adolescents, and their parents, researchers have measured users’ experiences to assist with intervention development, refinement, and evaluation. To date, there are no widely agreed-on definitions or measures of ‘user experience’ to support a standardized approach for evaluation and comparison within or across interventions. OBJECTIVE We conducted a scoping review with subsequent Delphi consultation to (1) identify how user experience is defined and measured in eHealth research studies, (2) characterize the measurement tools used, and (3) establish working definitions for domains of user experience that could be used in future eHealth evaluations. METHODS We systematically searched electronic databases for published and gray literature available from January 1, 2005 to April 11, 2019. Studies assessing an eHealth intervention that targeted any health condition and was designed for use by children, adolescents, and their parents were eligible for inclusion. eHealth interventions needed to be web-, computer-, or mobile-based, mediated by the internet with some degree of interactivity. Studies were also required to report the measurement of ‘user experience’ as first-person experiences, involving cognitive and behavioural factors, reported by intervention users. Two reviewers independently screened studies for relevance and appraised the quality of user experience measures using published criteria: ‘well-established’, ‘approaching well-established’, ‘promising’, or ‘not yet established’. We conducted a descriptive analysis of how user experience was defined and measured in each study. Review findings subsequently informed the survey questions used in the Delphi consultations with eHealth researchers and adolescent users for how user experience should be defined and measured. RESULTS Of the 8,634 articles screened for eligibility, 129 and one erratum were included in the review. Thirty eHealth researchers and 27 adolescents participated in the Delphi consultations. Based on the literature and consultations, we proposed working definitions for six main user experience domains: acceptability, satisfaction, credibility, usability, user-reported adherence, and perceived impact. While most studies incorporated a study-specific measure, we identified ten well-established measures to quantify five of the six domains of user experience (all except for self-reported adherence). Our adolescent and researcher participants ranked perceived impact as one of the most important domains of user experience and usability as one of the least important domains. Rankings between adolescents and researchers diverged for other domains. CONCLUSIONS Findings highlight the various ways user experience has been defined and measured across studies and what aspects are most valued by researchers and adolescent users. We propose incorporating the working definitions and available measures of user experience to support consistent evaluation and reporting of outcomes across studies. Future studies can refine the definitions and measurement of user experience, explore how user experience relates to other eHealth outcomes, and inform the design and use of human-centred eHealth interventions.


2020 ◽  
Vol 6 (1) ◽  
pp. 713-722
Author(s):  
Vincent Boswijk ◽  
Matt Coler

AbstractA commonly used concept in linguistics is salience. Oftentimes it is used without definition, and the meaning of the concept is repeatedly assumed to be self-explanatory. The definitions that are provided may vary greatly from one operationalization of salience to the next. In order to find out whether it is possible to postulate an overarching working definition of linguistic salience that subsumes usage across linguistic subdomains, we review these different operationalizations of linguistic salience. This article focuses on salience in sociolinguistics, cognitive linguistics, second-language acquisition (SLA), and semantics. In this article, we give an overview of how these fields operationalize salience. Finally, we discuss correlations and contradictions between the different operationalizations.


ICL Journal ◽  
2020 ◽  
Vol 14 (1) ◽  
pp. 43-69
Author(s):  
Eszter Polgári

AbstractThe present article maps the explicit references to the rule of law in the jurisprudence of the ECtHR by examining the judgments of the Grand Chamber and the Plenary Court. On the basis of the structured analysis it seeks to identify the constitutive elements of the Court’s rule of law concept and contrast it with the author’s working definition and the position of other Council of Europe organs. The review of the case-law indicates that the Court primarily associates the rule of law with access to court, judicial safeguards, legality and democracy, and it follows a moderately thick definition of the concept including formal, procedural and some substantive elements. The rule of law references are predominantly ancillary arguments giving weight to other Convention-based considerations and it is not applied as a self-standing standard.


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