Math Section intro

Michael Connell

Society for Information Technology & Teacher Education International Conference 2002 (2002) p. 1037

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The Art and Science of Virtual World-Building: Educational Technology as a Medium for Researcher-Teacher Collaboration

Michael Connell

Society for Information Technology & Teacher Education International Conference 2008 (Mar 03, 2008) pp. 2542–2547

People speak of learning as a "journey." Recent learning research suggests how we can formalize this notion of a "knowledge space," creating new ways to think about curriculum design and delivery to maximize learning. Technologies such as...

Applications of Knowledge Based Evaluation in Educational Technology.

Michael Connell

Society for Information Technology & Teacher Education International Conference 2001 (2001) pp. 3112–3113

In an emerging system, one of the primary functions of the founders should be to explore acceptable justification systems. Consider, for example, intuition, logic, or causality. In doing this, it is helpful to recognize that each choice of systems—...

Topics: Evaluation

Preparing mathematics teachers for object-oriented and technology enhanced classrooms

Michael Connell

Society for Information Technology & Teacher Education International Conference 2003 (2003) pp. 2877–2883

This paper describes necessary changes for teachers to function effectively in today's technologically-enhanced classrooms. It provides examples of how mathematics pedagogy shifted and how the very nature of the mathematics to be taught has...

Topics: Mathematics

Symbolic Computers and Mathematical Objects

Michael Connell

Society for Information Technology & Teacher Education International Conference 2000 (2000) pp. 1072–1076

Technology is best utilized as a tool for exploring the foundational objects and exploring and varying the underlying nature of the object upon which the abstracted mathematical symbol is constructed. When this is done appropriately it can serve...

Topics: Learning Objects, Mathematics

Teaching through tragedy: Use of dynamically created websites to maintain communities of learning.

Michael Connell

Society for Information Technology & Teacher Education International Conference 2002 (2002) p. 138

During the Summer of 2001 the University of Houston, together with the rest of the Houston community, suffered through one of the most devastating storm events in memory - Tropical Storm Allison. At the time of Allison's arrival the author's summer...

Topics: Community

Hybrid vs. Online: Research findings from an elementary evaluation course.

Michael Connell

E-Learn: World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education 2015 (Oct 19, 2015) pp. 1222–1226

This research compares student data from two instructional modalities used in an undergraduate elementary evaluation course, Assessment and evaluation of children, taught by the same instructor. One modality which was offered was a Hybrid format (n=...

Topics: Other, Assessment, Elementary Education, Evaluation, Implementation Examples & Issues

Actions on Objects: Useful Internet locations.

Michael Connell

Society for Information Technology & Teacher Education International Conference 2002 (2002) pp. 1071–1072

The modern classroom computer has an unparalleled ability to implement both graphical and procedural components of mathematics understanding in a single unified object. This dual encapsulation allows students to see both the form of representation...

Topics: Learning Objects, Mathematics

Actions on Objects: A theoretical framework for mathematics education

Michael Connell

Society for Information Technology & Teacher Education International Conference 2000 (2000) pp. 1034–1039

When one thinks of reasoning, problem solving, communication and connecting related ideas the tool of choice in nearly every discipline is the microcomputer. Furthermore, unlike the traditional calculator, the modern classroom computer has an...

Topics: Classrooms, Learning Objects, Students, Computers, Mathematics

Mathematical Mediation: From Raw Experience to Spreadsheets via Data Tables.

Michael Connell

Society for Information Technology & Teacher Education International Conference 2019 (Mar 18, 2019) pp. 2141–2147

Technology enables mathematical objects requiring new modes of student interaction - for example, the exploratory power of spreadsheets. In addition to their novelty in the elementary classroom, spreadsheets can draw increased efficacy from prior...

Topics: Science Education, mathematics education

Using technology to squeeze in on ? for upper elementary students.

Michael Connell

Society for Information Technology & Teacher Education International Conference 2024 (Mar 25, 2024) pp. 1740–1748

NOTE: This paper is based upon my earlier writings in Developing Deep Knowledge in Middle School Mathematics: A Textbook for Teaching in the Age of Technology by Abramovich & XXXXXX, 2021. It is presented here to share this information with...

Topics: mathematics education, Technological, Pedagogical Content Knowledge (TPACK)

SP Charts: Creating a longitudinal view of a technology enabled intervention.

Michael Connell; Delwyn Harnisch

Society for Information Technology & Teacher Education International Conference 2004 (2004) pp. 951–954

In this paper we will describe how the SP method of organizing, analyzing, and reporting test results was used in creating a comprehensive evaluation of a six-year curriculum intervention based upon the Curry-Samara model of Curriculum, Instruction...

Topics: Curriculum, Assessment

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...

Teaching and learning actions in mathematics: What we do and what we do it upon

Michael Connell; Mikhail Bouniaev

Society for Information Technology & Teacher Education International Conference 2003 (2003) pp. 2884–2891

Using technology in mathematics education without understanding the actions performed by the computer and how to interpret them is particular dangerous. Often students get correct answers - defined by "corresponding to the back of the book" using a...

Topics: Computers, Educational Technology, Students

AI or IA: The Choice is Yours!.

Michael L. Connell

Society for Information Technology & Teacher Education International Conference 1997 (1997) pp. 573–575

In this paper I would like to propose two major categories to use when considering instructional software for use in mathematics education. I have found them to be simple to remember and reflective of much of the current thought regarding uses of...

Technology in Constructivist Mathematics Classrooms

Michael L. Connell

Society for Information Technology & Teacher Education International Conference 1997 (1997) pp. 601–604

Once the constructivist philosophy is adopted day to day life in the classroom is profoundly and significantly altered for both teacher and students. This goes far beyond such superficial aspects such as the physical arrangement of workspace within...

Microcomputer Referents in Elementary Mathematics: A Sample Approach

Michael L. Connell

The mathematical experiences of elementary students often focus on memorizing facts and rules as opposed to making sense of the subject and developing problem solving skills. Students spend large amounts of time processing, memorizing and sorting...

AI or IA: The Choice is Yours!.

Michael L. Connell

Society for Information Technology & Teacher Education International Conference 1998 (1998) pp. 573–575

In this paper I would like to propose two major categories to use when considering instructional software for use in mathematics education. I have found them to be simple to remember and reflective of much of the current thought regarding uses of...

How Do They Know? An Investigation into Student Mathematical Conceptions and Beliefs

Michael L. Connell

Findings from prior research are drawn together to create a learning model for elementary school mathematics in the cognitive-constructivist tradition. A potential teaching/learning process consistent with the model was developed and applied in a...

Knowledge-Based Evaluation

Michael L. Connell

Journal of Technology and Teacher Education Vol. 10, No. 1 (2002) pp. 17–25

This article investigates the implications on formal evaluation theory when existing methods are viewed from an epistemic perspective. A case is made that from this approach a meaningful evaluation might be made with only a shared justification...

Topics: Evaluation

Technology in Constructivist Mathematics Classrooms

Michael L. Connell

Society for Information Technology & Teacher Education International Conference 1998 (1998) pp. 601–604

Once the constructivist philosophy is adopted day to day life in the classroom is profoundly and significantly altered for both teacher and students. This goes far beyond such superficial aspects such as the physical arrangement of workspace within...

MAT H E MAT I CS

Michael L. Connell

Society for Information Technology & Teacher Education International Conference 2000 (2000) pp. 1035–1038

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)

Burning the Candle: A Technology Immune Technology Enabled Problem within an Action on Objects Framework

Michael Connell; Sergei Abramovich

E-Learn: World Conference on E-Learning 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 K-6 mathematics methods class ...

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

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...

Parental Perceptions of Education, Technology, and Innovative Mathematics Instruction.

Michael L. Connell

Society for Information Technology & Teacher Education International Conference 1994 (1994) pp. 57–60

Barbara goes to the computer lab once a week with her sixth grade class. There, she types in her password and the computer presents her with one math problem after another. She types in answers to each problem and, if she does well enough, she is...

Defining Technogogy and its Natural Corollary, Technogogical Content Knowledge (TCK)

Scott Slough; Michael Connell

Society for Information Technology & Teacher Education International Conference 2006 (Mar 19, 2006) pp. 1053–1059

This paper defines an emerging term, Technogogy, and expands to its natural corollary, Technogogical Content Knowledge (TCK), in an attempt to clarify the discourse surrounding teaching and learning with technology in varied content areas. Pedagogy, ...

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...

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 K-6...

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)

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 K-6...

Topics: mathematics education, Teaching and Learning with Emerging Technologies

Technology’s Promise for Mathematics and Science Learning

Michael Connell; Scott Slough

Society for Information Technology & Teacher Education International Conference 2005 (2005) pp. 1910–1917

Abstract Mathematics and Science Education Standards at the national level call for a shift in emphasis from "focusing on student acquisition of information to focusing on student understanding and use of scientific knowledge, ideas, and inquiry...

Topics: Mathematics, Students, Information Sciences, Standards

Student Use of Technology to Build Links Between Mathematical Variables: Implications for Teacher Education

Michael L. Connell

Society for Information Technology & Teacher Education International Conference 1995 (1995) pp. 155–159

This paper will present a detailed example in which students used technology, in this case a fairly sophisticated authoring system - ToolBook, as a tool to construct their own understandings in mathematics. In doing so, they were able to address two ...

Aunt Sarah and the Farm: A guided tour of a spreadsheet exploration.

Michael Connell; Sergei Abramovich

E-Learn: World Conference on E-Learning 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...

Topics: (2017) Implementation Examples & Issues

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

Making Teacher Education a Continuing Process

J. Olin Campbell; Michael Connell

Society for Information Technology & Teacher Education International Conference 2003 (2003) pp. 1671–1672

Making Teacher Education a Continuing Process. Teacher education needs to be ongoing, but many inservice programs provide a relatively weak intervention and little support for continuing improvement. How do we support the growth of teachers that...

Topics: Teachers, Video, Classrooms

Constructivism and SSDMA as basis for technology use in mathematics teacher education.

Mikhail Bouniaev; Michael L. Connell

Society for Information Technology & Teacher Education International Conference 1999 (1999) pp. 940–944

This paper further investigates two models of teaching/learning mathematics that have proven effective using enhanced instructional technology. The first, cognitive constructivism is based upon the work of Cornu and Dubinsky (1989) and Connell ...

Topics: Mathematics, Educational Technology

New tools for new thoughts: Effects of changing the “Tools-to-Think- With” on the elementary mathematics methods course.

Michael L. Connell; Sergei Abramovich

Society for Information Technology & Teacher Education International Conference 1999 (1999) pp. 1052–1057

A central tenet of mathematics education reform is the integral role of technology at all grade levels. The current technological changes combined with the changes in the mathematics content and instructional method require elementary mathematics ...

Topics: Educational Technology, Computers, Mathematics, Elementary Education, Instructional Design

Constructivism and Ssdma - Implications of Two Learning Theories on Technology Use in Mathematics Teacher Education

Michael L. Connell; Mikhail Bouniaev

Society for Information Technology & Teacher Education International Conference 1996 (1996) pp. 234–239

This paper presents a comparative analysis of practical recommendations for using technologies in teaching two themes of pre-algebra course based on a theory of contructivism and theory of stage-by-stage development of mental actions (SSDMA theory). ...

Interpretation of SP Charts on Mathematics Applications.

Michael L. Connell; Delwyn L. Harnisch

Society for Information Technology & Teacher Education International Conference 1999 (1999) pp. 945–949

The analysis of response patterns is motivated by the belief that additional instructional information is contained in the analysis of the errors student make in responding to test items. In this paper we will present a method of organizing,...

Topics: Teachers, Students

An Investigation of Parent Perceptions of Education, Teaching, Mathematics, and Computers

Nancy M. Wentworth; Michael L. Connell

Computers in the Schools Vol. 11, No. 4 (1995) pp. 35–53

Explores parent perceptions of education, mathematics education, teachers' roles in education, and computers in education. The use of interviews and a survey is explained; results of a factor analysis are discussed, including responsibility and...

The View from Outside: 2000-2003

Michael L. Connell; D Lamont Johnson

Computers in the Schools Vol. 21, No. 1 (September 2004) pp. 165–183

In 1999, the Federal Department of Education began the PT3 initiative. The goal of that initiative was to transform teacher education programs across the country to ensure that new teachers would enter the classroom prepared to effectively integrate ...

The Curry/Samara Model®: Blending effective curriculum, instructional strategies and technology yields statistically significant results.

James Curry; Michael Connell; John Samara

Society for Information Technology & Teacher Education International Conference 2004 (2004) pp. 2075–2082

The Curry/Samara Model (CSM) is yielding statistically significant results in terms of improving student performance on standardized tests, especially noticeable in low socio-economic environments. Factors involved in increasing student success...

Topics: Software, Curriculum, Standards, Students

The Flagpole Factory: Providing a Referent for Linear Equations

Michael L. Connell; Susan B. Ravlin

A change of emphasis in mathematics education may be needed from a mechanical and computational focus to a problem-solving approach. A first step in facilitating this goal is to place children in situations emphasizing problem-solving skills,...

Looking for Learners: The Legacy of Technogogical Content Knowledge (TCK)

Scott Slough; Michael Connell; Gregory Chamblee

Society for Information Technology & Teacher Education International Conference 2015 (Mar 02, 2015) pp. 3411–3417

Technological Pedagogical Content Knowledge (TPACK) is a theoretical framework that has enjoyed widespread applications as it applies to the integration of technology in the teaching and learning process. This paper reviews the background for TPACK, ...

Topics: Technological, Pedagogical Content Knowledge (TPACK)

Practical Applications of Student Response Analysis

Deborah M. Switzer; Michael L. Connell

Educational Measurement: Issues and Practice Vol. 9, No. 2 (1990) pp. 15–18

Two easy-to-use microcomputer programs, the Student Problem Package and the Test Analysis Package, both by D. L. Harnisch et al. (1985), are described. These programs efficiently analyze test data for teachers. (SLD)

Practical Applications of Student Response Analysis

Deborah M. Switzer; Michael L. Connell

This paper describes teacher usage of the microcomputer programs Test Analysis Package (TAP) and Student Problem Package (SPP) to analyze students' test item responses. These methods of organizing, analyzing, and reporting test results have proven...

A Case for Strong Conceptualization in Technology Enhanced Mathematics Instruction

Michael L. Connell; Delwyn L. Harnisch

Society for Information Technology & Teacher Education International Conference 2000 (2000) pp. 1004–1008

It is extremely important for students to develop strong concepts regarding the nature of the objects they are manipulating and how these objects are to be used mathematically. This is increasingly important when the objects with which one is ...

Topics: Mathematics

M AT H E M AT I C S

Michael L. Connell; Norene Vail Lowery; Delwyn L. Harnisch

Society for Information Technology & Teacher Education International Conference 2001 (2001) pp. 1310–1314

It is always exciting to examine each year's mathematics section papers as they come in for the SITE Annual and this year proved to be no exception. Not only do we see a broader representation of mathematical themes and teaching approaches, but we...

Topics: Mathematics