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1

103.02 Proofs without words: identities in triangular numbers

Caglayan, Günhan

Journal:

The Mathematical Gazette

Year:

2019

Language:

english

File:

PDF, 76 KB

english, 2019

2

Static Versus Dynamic Disposition: The Role of GeoGebra in Representing Polynomial-Rational Inequalities and Exponential-Logarithmic Functions

Caglayan, Günhan

Journal:

Computers in the Schools

Year:

2014

Language:

english

File:

PDF, 722 KB

english, 2014

3

Mathematics Teachers' Visualization of Complex Number Multiplication and the Roots of Unity in a Dynamic Geometry Environment

Caglayan, Gunhan

Journal:

Computers in the Schools

Year:

2016

Language:

english

File:

PDF, 1.17 MB

english, 2016

4

102.22 Proof without Words: sums of sums of factorials is one less than a factorial: inductive step

Caglayan, Günhan

Journal:

The Mathematical Gazette

Year:

2018

Language:

english

File:

PDF, 58 KB

english, 2018

5

Proof Without Words: An Identity on Difference Between Triangular Numbers

Caglayan, Günhan

Journal:

Mathematics Magazine

Year:

2019

Language:

english

File:

PDF, 419 KB

english, 2019

6

Exploring Archimedes’ Quadrature of Parabola with GeoGebra Snapshots

Caglayan, Günhan

Journal:

Technology, Knowledge and Learning

Year:

2014

Language:

english

File:

PDF, 1.20 MB

english, 2014

7

Proof Without Words: Regular Dodecagon and Cotangent of 15 Degrees

Caglayan, Günhan

Journal:

Mathematics Magazine

Year:

2018

Language:

english

File:

PDF, 740 KB

english, 2018

8

Prospective mathematics teachers’ sense making of polynomial multiplication and factorization modeled with algebra tiles

Günhan Caglayan

Journal:

Journal of Mathematics Teacher Education

Year:

2013

Language:

english

File:

PDF, 698 KB

english, 2013

9

Visualizing number sequences: Secondary preservice mathematics teachers’ constructions of figurate numbers using magnetic color cubes

Caglayan, Günhan

Journal:

The Journal of Mathematical Behavior

Year:

2014

Language:

english

File:

PDF, 870 KB

english, 2014

10

Making sense of eigenvalue–eigenvector relationships: Math majors’ linear algebra – Geometry connections in a dynamic environment

Caglayan, Günhan

Journal:

The Journal of Mathematical Behavior

Year:

2015

Language:

english

File:

PDF, 3.51 MB

english, 2015

11

Proof Without Words: An Identity on Difference Between Triangular Numbers

Caglayan, Günhan

Journal:

Mathematics Magazine

Year:

2019

File:

PDF, 419 KB

2019

12

Visualizing Summation Formulas

Günhan Çağlayan

Journal:

Mathematics Teacher

Year:

2006

Language:

english

File:

PDF, 2.31 MB

english, 2006

13

Math majors' visual proofs in a dynamic environment: the case of limit of a function and the ϵ–δ approach

Caglayan, Günhan

Journal:

International Journal of Mathematical Education

Year:

2015

Language:

english

File:

PDF, 1.29 MB

english, 2015

14

A Mathematical Pyramid Scheme

Günhan Caglayan

Journal:

Mathematics Teacher

Year:

2011

Language:

english

File:

PDF, 657 KB

english, 2011

15

Exploring the lunes of Hippocrates in a dynamic geometry environment

Caglayan, Gunhan

Journal:

BSHM Bulletin Journal of the British Society for the History of Mathematics

Year:

2016

Language:

english

File:

PDF, 851 KB

english, 2016

16

Closed Circular Chains

Günhan Caglayan,

Journal:

Mathematics Teacher

Year:

2016

Language:

english

File:

PDF, 1.32 MB

english, 2016

17

An Interesting Relationship Between Squares and Hex Numbers

Caglayan, Günhan

Journal:

The Mathematical Intelligencer

Year:

2020

File:

PDF, 325 KB

2020

18

Covering a Triangular Number with Pentagonal Numbers

Caglayan, Günhan

Journal:

The Mathematical Intelligencer

Year:

2019

File:

PDF, 361 KB

2019

19

Eighth grade students’ representations of linear equations based on a cups and tiles model

Günhan Caglayan, John Olive

Journal:

Educational Studies in Mathematics

Year:

2010

Language:

english

File:

PDF, 306 KB

english, 2010

20

Learners’ Difficulties with Quantitative Units in Algebraic Word Problems and the Teacher’s Interpretation of those Difficulties

John Olive, Günhan Çağlayan

Journal:

International Journal of Science and Mathematics Education

Year:

2008

Language:

english

File:

PDF, 326 KB

english, 2008

21

Mathematical Lens

Günhan Caglayan, Ron Lancaster and Brigitte Bentele

Journal:

Mathematics Teacher

Year:

2008

Language:

english

File:

PDF, 4.98 MB

english, 2008

22

Meta-Representation in an Algebra I Classroom

Izsák, Andrew, Çağlayan, Günhan, Olive, John

Journal:

Journal of the Learning Sciences

Year:

2009

Language:

english

File:

PDF, 268 KB

english, 2009

23

Mathematical Lens: Reflections on Vacation Spots

Günhan Çağlayan, Ron Lancaster and Brigitte Bentele

Journal:

Mathematics Teacher

Year:

2010

Language:

english

File:

PDF, 2.84 MB

english, 2010

24

Teaching ideas and activities for classroom: integrating technology into the pedagogy of integral calculus and the approximation of definite integrals

Caglayan, Gunhan

Journal:

International Journal of Mathematical Education

Year:

2016

Language:

english

File:

PDF, 2.46 MB

english, 2016

25

Archetypal Mathematics

Günhan Caglayan

Journal:

Mathematics Teacher

Year:

2013

Language:

english

File:

PDF, 565 KB

english, 2013

26

Eighth grade students' representations of linear equations based on a cups and tiles model

Günhan Caglayan and John Olive

Journal:

Educational Studies in Mathematics

Year:

2010

Language:

english

File:

PDF, 1.68 MB

english, 2010

27

Almost Every Term of a Sequence from a Multi-Representational Pedagogical Context: Making Sense of Convergence via Spreadsheets

Caglayan, Günhan

Journal:

Digital Experiences in Mathematics Education

Year:

2017

Language:

english

File:

PDF, 1.49 MB

english, 2017

28

Meta-Representation in an Algebra I Classroom

Andrew Izsák, Günhan Çağlayan and John Olive

Journal:

Journal of the Learning Sciences

Year:

2009

Language:

english

File:

PDF, 3.24 MB

english, 2009

29

Visualizing the inner product space Rm×n in a MATLAB-assisted linear algebra classroom

Caglayan, Günhan

Journal:

International Journal of Mathematical Education

Year:

2018

Language:

english

File:

PDF, 1.02 MB

english, 2018

30

in a technology-assisted learning environment

Caglayan, Günhan

Journal:

The Journal of Mathematical Behavior

Year:

2018

Language:

english

File:

PDF, 8.55 MB

english, 2018

31

Linear Algebra Students' Understanding of Similar Matrices and Matrix Representations of Linear Transformations in a MATLAB-Assisted Learning Environment

Caglayan, Günhan

Journal:

Computers in the Schools

Year:

2018

Language:

english

File:

PDF, 1.86 MB

english, 2018

32

Is it a subspace or not? Making sense of subspaces of vector spaces in a technology-assisted learning environment

Caglayan, Günhan

Journal:

Year:

2019

Language:

english

File:

PDF, 10.34 MB

english, 2019