HOUR(s and Hours) OF (Math +) CODE

George Gadanidis; Rosa Cendros Araujo

EdMedia + Innovate Learning 2018 (Jun 25, 2018) pp. 1614–1620

Today’s coding movement, inspired in part by Wing’s advocacy of computational thinking in education (Wing, 2006, 2008), has been taken up by industry, academics, and educational institutions. Although portrayed as a recent trend in education, the...

Topics: social networks, Teacher education and technology integration, Open courses, open learning, and open educational resources

“Oh no, Math!” Songs from an Online Math-for-Teachers Course

George Gadanidis; Jane Gichuru; Immaculate Namukasa

World Conference on Educational Media and Technology 2011 (Jun 27, 2011) pp. 943–950

In this paper we share the case of a four-week fully online math-for-teachers course focusing on algebraic thinking. The course was offered prior to the start of the teacher education program as an optional summer credit for teacher candidates and...

“Sing me a Good Math Story”: Using Online Music Videos to Share Students’ Classroom Mathematics

George Gadanidis; Janette Hughes

World Conference on Educational Media and Technology 2010 (Jun 29, 2010) pp. 1933–1940

In this paper we explore a case study of third grade students writing dramatic scripts to communicate their math learning with a wider community. The dramatic scripts are written in small groups, acted out for peers, performed for family and friends,...

Five Affordances of Computational Thinking to support Elementary Mathematics Education

George Gadanidis

Journal of Computers in Mathematics and Science Teaching Vol. 36, No. 2 (April 2017) pp. 143–151

With the increased focus on computational thinking (CT) in education, it is important to investigate the affordances that CT may offer to support teaching and learning. This paper outlines five affordances of CT that may support elementary...

Knowledge, attitudes and beliefs in teacher candidates? classroom practice

George Gadanidis; Rosa Cendros Araujo

Society for Information Technology & Teacher Education International Conference 2017 (Mar 05, 2017) pp. 1944–1947

This proposal describes a case study developed in the math education program at a Canadian university, in an integrated effort to engage preservice teachers in activities that elicit mathematical surprise through the inclusion of a low floor, high...

Topics: mathematics education, Computational Thinking, Teaching and Learning with Emerging Technologies

Middle School Pre-service Mathematics Teachers’ Perceptions of Mathematical Beauty in Online Module Discussions

George Gadanidis; Cornelia Hoogland; Daniel Jarvis; Tara-Lynn Scheffel

Society for Information Technology & Teacher Education International Conference 2004 (2004) pp. 4438–4445

We present a study of over 100 middle school pre-service teachers' online discussions of mathematical beauty. The goal of the study is to identify how the pre-service teachers perceive mathematical 'beauty'. The pre-service teachers were part of a...

Topics: Teachers, Mathematics, Teaching Methods, Middle School Education

New media and research dissemination: the case of performing mathematics education research

George Gadanidis; Marcelo Borba

Journal of Educational Multimedia and Hypermedia Vol. 22, No. 1 (February 2013) pp. 25–38

"** Invited as a paper from ED-MEDIA 2011 **" Academic research is typically written in a style and for venues that remain largely inaccessible by the general public and even by the practitioners who might benefit from it. In this article we...

Digital Windows into Elementary Mathematics: Performing Images of Mathematicians using New Media Tools

George Gadanidis

World Conference on Educational Media and Technology 2010 (Jun 29, 2010) pp. 2701–2708

Picker & Berry (2000) have found that for young students mathematicians are essentially invisible, and students rely on stereotypical images from media for their images of mathematicians. This paper discusses the Windows into Elementary Mathematics...

Sing me a good research story: Research dissemination and new media

George Gadanidis; Marcelo Borba; Janette Hughes; Ricardo Scucuglia; Anne Burke

World Conference on Educational Media and Technology 2011 (Jun 27, 2011) pp. 384–390

In this paper we present a case of research dissemination that takes on the challenge of using alternative forms of research communication by developing research-based songs and mini-documentaries to be shared publicly through Youtube, live...

Computational Thinking in Mathematics Teacher Education

George Gadanidis; Rosa Cendros; Lisa Floyd; Immaculate Namukasa

Contemporary Issues in Technology and Teacher Education Vol. 17, No. 4 (December 2017) pp. 458–477

As computational thinking (CT) is increasing in focus in K-12 education, it is important to consider how teacher education programs may better prepare teacher candidates (TCs). Previous studies have found that TCs do not always have a firm...

Coding as a Trojan Horse for Mathematics Education Reform

George Gadanidis

Journal of Computers in Mathematics and Science Teaching Vol. 34, No. 2 (April 2015) pp. 155–173

The history of mathematics educational reform is replete with innovations taken up enthusiastically by early adopters without significant transfer to other classrooms. This paper explores the coupling of coding and mathematics education to create...

Mathematics-for-Teachers using a MOOC

George Gadanidis

Society for Information Technology & Teacher Education International Conference 2014 (Mar 17, 2014) pp. 310–314

What mathematics experiences and knowledge do elementary teachers need and how might these be provided through a MOOC? While online courses have been part of the educational landscape for a couple of decades, MOOCs offer two innovations. First, a...

Topics: mathematics education, Distance/Flexible Education

Learning as Community Service: Thinking with New Media

Janette Hughes; George Gadanidis

Journal of Educational Multimedia and Hypermedia Vol. 19, No. 3 (August 2010) pp. 287–306

This paper is exploratory in nature and our research goal is to develop a conceptualization of “learning as community service” in a new media context. The setting for the study is an after-school program involving middle school children in a First...

Open Online Module for Computational Thinking in Mathematics Education

George Gadanidis; Rosa Cendros Araujo

E-Learn: World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education 2017 (Oct 17, 2017) pp. 5–10

With the upturn of computational thinking (CT) in K-12 education, teachers require a firm understanding of what CT involves, and how to develop CT in their classrooms In this context, the first author developed an online module for elementary school ...

Topics: Instructional Design, Content Development, Implementation Examples & Issues

‘Mathematical Romance’ and the Online Education of Elementary Pre-service Teachers

Cornelia Hoogland; Dan Jarvis; George Gadanidis

Society for Information Technology & Teacher Education International Conference 2003 (2003) pp. 1794–1801

Pre-service elementary mathematics teachers need romantic experiences with mathematics - opportunities to (re)discover the pleasure in mathematics and the beauty in mathematical thinking. In this paper we report on our research on pre-service...

Topics: Teachers, Mathematics, Elementary Education

Designing a blended computational thinking in mathematics education course for K-6 preservice teachers

George Gadanidis

Society for Information Technology & Teacher Education International Conference 2016 (Mar 21, 2016) pp. 85–90

In the context of computational thinking receiving increased focus in education, this paper has four purposes: 1) review the literature on computational thinking; 2) explore connections between computational thinking and mathematics education; 3)...

Topics: Computational Thinking, mathematics education, Teaching and Learning with Emerging Technologies

Exploring Digital Mathematical Performance in an Online Teacher Education Setting

George Gadanidis

Society for Information Technology & Teacher Education International Conference 2006 (Mar 19, 2006) pp. 3726–3731

In this paper I relate intertwined fragments of the case story of one of the digital mathematical performances I have designed, developed, used and researched in an online mathematics teacher education course. The immediate goal for such...

Topics: Mathematics, Teachers

Teacher Candidates’ Key Understandings about Computational Thinking in Mathematics and Science Education

Rosa Cendros Araujo; Lisa Floyd; George Gadanidis

Journal of Computers in Mathematics and Science Teaching Vol. 38, No. 3 (July 2019) pp. 205–229

With the increasing advocacy for CT integration in K-12 education, it is important to consider how teacher education programs could better prepare teacher candidates (TCs). At the Faculty of Education at Western University, CT has been included in...

Integrating Computational Thinking in Mathematics and Science Teacher Education

Rosa Cendros Araujo; Lisa Floyd; George Gadanidis

EdMedia + Innovate Learning 2018 (Jun 25, 2018) pp. 2379–2384

With current advocacy to include computational thinking (CT) skills in the elementary and secondary curriculum, the demands on teacher education have focused on improving teacher knowledge about CT and how to integrate it into their teaching...

Topics: online learning environments, course, Teacher education and technology integration, program, project, and other forms of evaluation

Designing mathematical ‘thinking’ objects

George Gadanidis

World Conference on Educational Media and Technology 2004 (2004) pp. 2374–2380

In this paper I explore what we might mean by mathematical 'thinking' in the context of learning objects and start a discussion about the design and pedagogical features that might be involved in the development of 'thinking' objects, that is,...

Topics: Mathematics, Learning Objects, Students

Online tools for small-group discussion: a comparison between threaded forums and collaborative mind-maps

Rosa Cendros Araujo; George Gadanidis

Society for Information Technology & Teacher Education International Conference 2017 (Mar 05, 2017) pp. 807–814

In online environments, small-group activities are generally conducted through threaded forums as the medium for students to share and build knowledge collaboratively. However, previous studies have shown that threaded forums have a number of...

Topics: mathematics education, New Possibilities with Information Technologies, Research & Evaluation

Learning objects and the level of mathematical thinking

George Gadanidis

E-Learn: World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education 2003 (2003) pp. 478–485

In this paper we propose a scheme for classifying the mathematical thinking facilitated by learning objects. With references to examples of existing learning objects, we describe four levels of mathematical thinking: 1 = recalling, 2 = applying, 3 = ...

Topics: Mathematics, Middle School Education, Learning Objects

Designing Digital Windows into Mathematics

George Gadanidis; Rick Jardine; Kamran Sedig

World Conference on Educational Media and Technology 2007 (Jun 25, 2007) pp. 3532–3537

In this paper we discuss the design goals of a set of Digital Windows into Mathematics (DWMs) that we are in the process of developing. Our goal is to create DWMs whose multimedia-rich content will challenge and disrupt typical assumptions about...

Topics: Science, Mathematics

Designing online mathematical investigation

George Gadanidis; Kamran Sedig; Hai-Ning Liang

Journal of Computers in Mathematics and Science Teaching Vol. 23, No. 3 (July 2004) pp. 275–298

In this paper we focus on applets that support mathematical investigation. In the context of analyzing and redesigning an applet from NCTM’ s Illuminations Web site, we consider two interrelated issues: (1) how the pedagogy of mathematical...

Topics: Instructional Design, Mathematics, Human Computer Interaction, Computer Sciences, Information Sciences

Factors Affecting Pre-service Mathematics Teachers’ Lesson Planning with Learning Objects Supporting Higher Level Thinking

George Gadanidis; Karen Schindler

Society for Information Technology & Teacher Education International Conference 2004 (2004) pp. 4432–4437

We present a study of 16 middle school pre-service teachers' mathematical and pedagogical thinking with a level 4 mathematics learning object (level 1=recalling, 2=applying, 3=understanding, and 4=extending). The learning object used in the study...

Topics: Teachers, Mathematics, Learning Objects, Middle School Education, Planning

Factors Mediating the Use of Online Applets in the Lesson Planning of Preservice Mathematics Teachers

George Gadanidis; Janette Gadanidis; Karen Schindler

Journal of Computers in Mathematics and Science Teaching Vol. 22, No. 4 (2003) pp. 323–344

This article reports on a study of 18 preservice mathematics teachers' pedagogical thinking when using online applets in their lesson planning. The applets facilitate the investigation of mathematical relationships. The goal of the study was to...

Topics: Teachers, Mathematics, Educational Technology, Preservice Teacher Education, Planning