Search results for math
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Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations Via Technology.
Michael Connell; Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2015 (Mar 02, 2015) pp. 3583–3590
When viewed as a content area, mathematics has a split personality. To use an example from language, there are parts of mathematics that function very much like a noun (the concepts of mathematics), while others function more like a verb (procedures,...
Topics: New Possibilities with Information Technology Education, Computational Thinking, Digital Fabrication, Personality, Mathematics

Promoting Technology Uses in the Elementary Mathematics Classroom: Lessons in Pedagogy from Zoltan Dienes.
Michael Connell; Sergei Abramovich
Journal of Educational Multimedia and Hypermedia Vol. 25, No. 3 (July 2016) pp. 213–227
Today technology allows for the utilization of new classes of mathematical objects which are themselves subject to new modes of student interaction. A series of notable examples may be found in the National Library of Virtual Manipulatives. These...

Stamping Functions: A Technology Immune Technology Enabled Problem within an Action on Objects Framework.
Michael Connell; Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2017 (Mar 05, 2017) pp. 1907–1913
This paper illustrates how the notion of Technology Immune Technology Enabled (TITE) problems (Abramovich, 2014), in this case an exploration of variations in surface area we refer to as Stamping Functions , might be incorporated into a K6...
Topics: mathematics education, Teaching and Learning with Emerging Technologies

A Technology Immune Technology Enabled Problem within an Action on Objects Framework: Stamping Functions
Michael Connell; Sergei Abramovich
Journal of Computers in Mathematics and Science Teaching Vol. 36, No. 2 (April 2017) pp. 117–127
This paper illustrates how the notion of Technology Immune Technology Enabled (TITE) problems (Abramovich, 2014), in this case an exploration of variations in surface area we refer to as Stamping Functions , might be incorporated into a K6...

Promoting Technology Uses in the Elementary Mathematics Classroom: Lessons in Pedagogy from Zoltan Dienes.
Michael Connell; Sergei Abramovich
EdMedia + Innovate Learning 2016 (Jun 28, 2016) pp. 1024–1031
Today technology allows for the utilization of new classes of mathematical objects which are themselves subject to new modes of student interaction. A series of notable examples may be found in the National Library of Virtual Manipulatives. These...
Topics: Instructor Training and Support, improving classroom teaching, pedagogical issues

Integrated spreadsheets as a paradigm of Type II technology applications in mathematics teacher education
Sergei Abramovich
Journal of Computers in Mathematics and Science Teaching Vol. 35, No. 4 (October 2016) pp. 301–312
The paper presents the use of spreadsheets integrated with digital tools capable of symbolic computations and graphic constructions in a master?s level capstone course for secondary mathematics teachers. Such use of spreadsheets is congruent with...

Problem Solving in the Digital Age: New Ideas for Secondary Mathematics Teacher Education
Sergei Abramovich; Michael Connell
Journal of Computers in Mathematics and Science Teaching Vol. 36, No. 2 (April 2017) pp. 105–116
The paper reflects on an earlier research on the use of technology in secondary mathematics teacher education through the lenses of newer digital tools (Wolfram Alpha, Maple), most recent standards for teaching mathematics, and recommendations for...

Developing TechnologyMediated Entries into Hidden Mathematics Curriculum as a Vehicle for “Good Learning” by Elementary PreTeachers
Sergei Abramovich; Peter Brouwer
Journal of Computers in Mathematics and Science Teaching Vol. 23, No. 3 (2004) pp. 299–322
This paper suggests that knowledge of the school mathematics curriculum, as one of the key components of teachers' education, can be extended to include concepts and structures that generally belong to hidden domains of the curriculum. Motivated by...
Topics: Teachers, Elementary Education, Mathematics, Curriculum

What Are Billy’s Chances? Computer Spreadsheet as a Learning Tool for Younger Children and Their Teachers Alike
Melody Stanton; Erin Baer; Sergei Abramovich
Journal of Computers in Mathematics and Science Teaching Vol. 21, No. 2 (2002) pp. 127–145
This article demonstrates how multiple features of a computer spreadsheet extended motivational activities with M&Ms and enhanced mathematical thinking of younger children in the context of data analysis and probability. Technologyenabled childhood ...

Evolving polygons revisited: Inequalities and computer graphing
Sergei Abramovich; Peter Brouwer
Journal of Computers in Mathematics and Science Teaching Vol. 28, No. 4 (October 2009) pp. 345–358
This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how twovariable inequalities can be utilized as models for the construction of geometric objects...
Topics: Instructional Design, Mathematics, Software, Preservice Teacher Education, Curriculum, Secondary Education, Programming

Technology as a Medium for Elementary Preteachers' ProblemPosing Experience in Mathematics
Sergei Abramovich; Eun Cho
Journal of Computers in Mathematics and Science Teaching Vol. 25, No. 4 (October 2006) pp. 309–323
This article attempts to extend current research and development activities related to the use of technology in problem posing, to early grades mathematics. It is motivated by the authors' work with elementary preservice teachers toward this goal,...
Topics: Early Childhood Education, Computers, Mathematics, Children, Standards, Preservice Teacher Education

Burning the Candle: A Technology Immune Technology Enabled Problem within an Action on Objects Framework
Michael Connell; Sergei Abramovich
ELearn: World Conference on ELearning in Corporate, Government, Healthcare, and Higher Education 2017 (Oct 17, 2017) pp. 1724–1730
This paper illustrates how Technology Immune Technology Enabled (TITE) problems (Abramovich, 2014), in this case an exploration of correlation and regressions referred to as Burning the Candle , were incorporated into a K6 mathematics methods class ...
Topics: Instructional Design, Content Development, Implementation Examples & Issues

Integrated spreadsheets as a paradigm of Type II technology applications in mathematics teacher education
Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2016 (Mar 21, 2016) pp. 2461–2466
The paper presents the use of spreadsheets integrated with digital tools capable of symbolic computations and graphic constructions in a master’s level capstone course for secondary mathematics teachers. Such use of spreadsheets is congruent with...
Topics: mathematics education, Computational Thinking, Teaching and Learning with Emerging Technologies

Teaching and learning mathematics in technologically intensive classrooms.
Michael Connell; Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2015 (Mar 02, 2015) pp. 2658–2663
Mathematics instruction is currently undergoing significant shifts concerning the nature of both content and the manner in which foundational understandings are to be developed. For example, the National Council of Teachers of Mathematics (NCTM),...
Topics: Classrooms, mathematics education, Mathematics, New Possibilities with Information Technology Education, Technological, Pedagogical Content Knowledge (TPACK)

Equations with Parameters: A Locus Approach
Sergei Abramovich; Anderson Norton
Journal of Computers in Mathematics and Science Teaching Vol. 25, No. 1 (January 2006) pp. 5–28
This paper introduces technologybased teaching ideas that facilitate the development of qualitative reasoning techniques in the context of quadratic equations with parameters. It reflects on activities designed for prospective secondary mathematics ...
Topics: Preservice Teachers, technology, Technology integration, Cognition, k12, teacher education, Integration, Mathematics, Preservice Teacher Education, Professional Development, Pedagogy, problem solving, Teaching Methods, Inclusive Education

Aunt Sarah and the Farm: A guided tour of a spreadsheet exploration.
Michael Connell; Sergei Abramovich
ELearn: World Conference on ELearning in Corporate, Government, Healthcare, and Higher Education 2018 (Oct 15, 2018) pp. 1386–1393
This paper provides a guided tour illustrating how students can effectively use spreadsheets to internalize and construct meanings for quadratics. The "Aunt Sarah" activity has been used for over 20 years and has been carefully designed to allow...

Computer as a medium for overcoming misconceptions in solving inequalities
Sergei Abramovich; Amos Ehrlich
Journal of Computers in Mathematics and Science Teaching Vol. 26, No. 3 (July 2007) pp. 181–196
Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching ...
Topics: Teaching Methods, Secondary Education, Preservice Teacher Education, Computers, Mathematics

From Measuring to Formal Demonstration Using Interactive Computational Geoboards and Recurrent Electronic Charts
Sergei Abramovich; Gary Brown
Journal of Computers in Mathematics and Science Teaching Vol. 18, No. 2 (1999) pp. 105–134
The paper shows how the joint use of dynamic geometry program and a spreadsheet may provide a computational environment for exploring geometry on plane lattices that lessens the risk of developing a false empiricist view of mathematics often...
Topics: Educational Technology, Preservice Teacher Education, Mathematics

Spreadsheets in Education: A Peerreviewed Medium for Active Learning
Sergei Abramovich; Steve Sugden
World Conference on Educational Media and Technology 2005 (Jun 27, 2005) pp. 4542–4547
It has been more than a decade since electronic journals were first suggested as a possible means of revolutionizing traditional print. In education, the availability of teaching ideas in a refereed electronic format presents an innovation in the...

Cognitive Heterogeneity in ComputerMediated Mathematical Action as a Vehicle for Concept Development
Sergei Abramovich
Journal of Computers in Mathematics and Science Teaching Vol. 22, No. 1 (2003) pp. 19–41
This article focuses on a spreadsheetenabled pedagogy aimed at the early development of combinatorial reasoning. The setting includes manipulativecomputational worksheets with enactive arithmetic tasks allowing for the variety of iconic...
Topics: Cognition

TITE Problem Solving: Integrating Computing and Proving in Secondary Mathematics Teacher Education
Sergei Abramovich; Michael Connell
Society for Information Technology & Teacher Education International Conference 2017 (Mar 05, 2017) pp. 1894–1900
The paper reflects on an earlier research on the use of technology in secondary mathematics teacher education through the lenses of newer digital tools (Wolfram Alpha, Maple), most recent standards for teaching mathematics, and recommendations for...
Topics: mathematics education, Creativity, Technological, Pedagogical Content Knowledge (TPACK)

Evolving polygons and spreadsheets: Connecting mathematics across grade levels in teacher education
Sergei Abramovich; Peter Brouwer
Journal of Computers in Mathematics and Science Teaching Vol. 28, No. 3 (July 2009) pp. 209–220
This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheetbased applications enables one to...
Topics: Curriculum, Preservice Teacher Education, Software, Instructional Design, Mathematics, Secondary Education, Programming

Professional Development School as a Venue for Integrating Technology in Teacher Education
Sergei Abramovich; Eun Kyeong Cho; Cara Dodge Coffin
Society for Information Technology & Teacher Education International Conference 2007 (Mar 26, 2007) pp. 3211–3215
This presentation reports the results of a facultystudent partnership in the framework of Professional Development School. It reflects on a collaborative effort of two faculty members and a teacher candidate enrolled in a graduate program in...

DEVELOPING TECHNOLOGYMEDIATED ENTRIES INTO HIDDEN MATHEMATICS CURRICULUM AS A VEHICLE FOR ‘GOOD LEARNING’ BY ELEMENTARY PRETEACHERS
Sergei Abramovich; Peter Brouwer
Journal of Computers in Mathematics and Science Teaching
This paper suggests that knowledge of the school mathematics curriculum, as one of the key components of teachers’ education, can be extended to include concepts and structures that generally belong to hidden domains of the curriculum. Motivated by...

Spreadsheets: A New Form of Educational Software for School Mathematics?
Sergei Abramovich; Hollylynne Stohl Drier; Sharon Dugdale; Simon Mochon; Erich Neuwirth; John Woodward
International Conference on Mathematics / Science Education and Technology 1999 (1999) pp. 390–395
It has been a worldwide concern that novice mathematics teachers are not well prepared to use technology in the classroom. The lack of such preparation may be due, in part, to a gap between technology offered by schools of education and what the...
Topics: Mathematics, Educational Technology, Teachers, Schools

Technology as a Context for Seconday Preteachers' Use of Algebraic Inequalities in a Capstone Course
Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2011 (Mar 07, 2011) pp. 3945–3952
This paper presents pedagogical ideas related to the use of algebraic inequalities as tools in contextoriented computing applications. Developed for and used in a capstone course, these ideas are consistent with and support recommendations for...