A proof without words for angle bisectors of right triangles.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2025, v. 56, n. 5, p. 989, doi. 10.1080/0020739X.2024.2337946
- By:
- Publication type:
- Article
Works matching AU Stupel, Moshe
Results: 78
1
2
The problem and geometric application of infinite sequences formed from three given numbers by calculating their pairwise means.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2024, v. 55, n. 7, p. 1744, doi. 10.1080/0020739X.2022.2154286
- By:
- Publication type:
- Article
3
Stimulating Curiosity in Undergraduate Geometry Students.
- Published in:
- Resonance: Journal of Science Education, 2025, v. 30, n. 5, p. 675, doi. 10.1007/s12045-025-1795-0
- By:
- Publication type:
- Article
4
Revisiting Proof Without Words Using Color Coding.
- Published in:
- Resonance: Journal of Science Education, 2023, v. 28, n. 6, p. 975, doi. 10.1007/s12045-023-1626-0
- By:
- Publication type:
- Article
5
Proof Without Words but With Colors.
- Published in:
- Resonance: Journal of Science Education, 2023, v. 28, n. 4, p. 665, doi. 10.1007/s12045-023-1590-8
- By:
- Publication type:
- Article
6
Dynamic Investigation of Surprising Situations With Conservation of Areas Described by Functions With Parameters.
- Published in:
- Resonance: Journal of Science Education, 2022, v. 27, n. 9, p. 1661, doi. 10.1007/s12045-022-1456-5
- By:
- Publication type:
- Article
7
Dynamic Research into Forms Obtained from Van-Aubel's Theorem When the Quadrilateral Degenerates to a Line-Segment.
- Published in:
- Resonance: Journal of Science Education, 2022, v. 27, n. 9, p. 1629, doi. 10.1007/s12045-022-1454-7
- By:
- Publication type:
- Article
8
Testing the NCTM 2020 Standards Using Rigorous Mathematics and Multiple Solutions to a Single Geometric Problem.
- Published in:
- Resonance: Journal of Science Education, 2022, v. 27, n. 6, p. 1061, doi. 10.1007/s12045-022-1397-z
- By:
- Publication type:
- Article
9
Special Properties of a Triangle with an Angle of 60°.
- Published in:
- 2021
- By:
- Publication type:
- Announcement
10
Necessary and sufficient conditions for orthogonal circles.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2022, v. 53, n. 10, p. 2837, doi. 10.1080/0020739X.2021.1945153
- By:
- Publication type:
- Article
11
Investigation on inscribed circles: one, two, three, four, infinitely many.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2022, v. 53, n. 8, p. 2255, doi. 10.1080/0020739X.2021.1923846
- By:
- Publication type:
- Article
12
Angle-side properties of polygons inscribable in an ellipse.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2022, v. 53, n. 7, p. 1973, doi. 10.1080/0020739X.2021.1919769
- By:
- Publication type:
- Article
13
Illogical use of the converse of a theorem that can cause an incorrect solution.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2022, v. 53, n. 6, p. 1449, doi. 10.1080/0020739X.2020.1827172
- By:
- Publication type:
- Article
14
Conserved properties in polygons obtained by a point reflecting process.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2021, v. 52, n. 10, p. 1598, doi. 10.1080/0020739X.2020.1850898
- By:
- Publication type:
- Article
15
Surprising relations between the areas of different shapes and their investigation using a computerized technological tool.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2021, v. 52, n. 9, p. 1433, doi. 10.1080/0020739X.2020.1847335
- By:
- Publication type:
- Article
16
Closed orbits parallel to quadrilaterals inscribed in various conic sections.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2021, v. 52, n. 7, p. 1097, doi. 10.1080/0020739X.2020.1819575
- By:
- Publication type:
- Article
17
Necessary and sufficient properties for a cyclic quadrilateral.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2020, v. 51, n. 6, p. 913, doi. 10.1080/0020739X.2019.1683772
- By:
- Publication type:
- Article
18
The effectiveness of 'what if not' strategy coupled with dynamic geometry software in an inquiry-based geometry classroom.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2018, v. 49, n. 7, p. 1099, doi. 10.1080/0020739X.2018.1452302
- By:
- Publication type:
- Article
19
Various solution methods, accompanied by dynamic investigation, for the same problem as a means for enriching the mathematical toolbox.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2018, v. 49, n. 3, p. 442, doi. 10.1080/0020739X.2017.1392050
- By:
- Publication type:
- Article
20
Pizza again? On the division of polygons into sections with a common origin.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2018, v. 49, n. 2, p. 281, doi. 10.1080/0020739X.2017.1383525
- By:
- Publication type:
- Article
21
The concept of invariance in school mathematics.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2018, v. 49, n. 1, p. 107, doi. 10.1080/0020739X.2017.1355992
- By:
- Publication type:
- Article
22
Relations among five radii of circles in a triangle, its sides and other segments.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2017, v. 48, n. 5, p. 782, doi. 10.1080/0020739X.2016.1276227
- By:
- Publication type:
- Article
23
On teaching extrema triangle problems using dynamic investigation.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2017, v. 48, n. 4, p. 603, doi. 10.1080/0020739X.2016.1259514
- By:
- Publication type:
- Article
24
Dynamic investigation of triangles inscribed in a circle, which tend to an equilateral triangle.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2017, v. 48, n. 1, p. 149, doi. 10.1080/0020739X.2016.1206978
- By:
- Publication type:
- Article
25
The standard proof, the elegant proof, and the proof without words of tasks in geometry, and their dynamic investigation.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2016, v. 47, n. 8, p. 1226, doi. 10.1080/0020739X.2016.1164347
- By:
- Publication type:
- Article
26
Enhancing elementary-school mathematics teachers' efficacy beliefs: a qualitative action research.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2016, v. 47, n. 3, p. 421, doi. 10.1080/0020739X.2015.1080314
- By:
- Publication type:
- Article
27
Dynamic investigation of loci with surprising outcomes and their mathematical explanations.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2016, v. 47, n. 3, p. 443, doi. 10.1080/0020739X.2015.1075613
- By:
- Publication type:
- Article
28
Absolute value equations – what can we learn from their graphical representation?
- Published in:
- 2014
- By:
- Publication type:
- Essay
29
Investigating derivatives by means of combinatorial analysis of the components of the function.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2014, v. 45, n. 6, p. 892, doi. 10.1080/0020739X.2013.872306
- By:
- Publication type:
- Article
30
A special application of absolute value techniques in authentic problem solving.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2013, v. 44, n. 4, p. 587, doi. 10.1080/0020739X.2012.729685
- By:
- Publication type:
- Article
31
Teaching proofs without words using dynamic geometry.
- Published in:
- Mathematical Gazette, 2019, v. 103, n. 557, p. 204, doi. 10.1017/mag.2019.51
- By:
- Publication type:
- Article
32
Historical mathematical problems suitable for classroom activities.
- Published in:
- Mathematical Gazette, 2019, v. 103, n. 556, p. 12, doi. 10.1017/mag.2019.2
- By:
- Publication type:
- Article
33
100.15 Proof Without Words.
- Published in:
- Mathematical Gazette, 2016, v. 100, n. 547, p. 146, doi. 10.1017/mag.2016.24
- By:
- Publication type:
- Article
34
Elegant special cases of Van Aubel's theorem.
- Published in:
- 2015
- By:
- Publication type:
- Chart/Diagram/Graph
35
Using multiple solutions to mathematical problems to develop pedagogical and mathematical thinking: A case study in a teacher education program.
- Published in:
- Investigations in Mathematics Learning, 2017, v. 9, n. 2, p. 86, doi. 10.1080/19477503.2017.1283179
- By:
- Publication type:
- Article
36
A proposition from algebra: How would Pythagoras phrase it?
- Published in:
- Ohio Journal of School Mathematics, 2017, v. 75, p. 22
- By:
- Publication type:
- Article
37
Examples of multiple proofs in geometry: Part 1, tasks and hints.
- Published in:
- Ohio Journal of School Mathematics, 2016, v. 74, p. 35
- By:
- Publication type:
- Article
38
Proof Without Words.
- Published in:
- Ohio Journal of School Mathematics, 2016, v. 74, p. 22
- By:
- Publication type:
- Article
39
Integrating various fields of mathematics in the process of developing multiple solutions to the same problems in geometry.
- Published in:
- Australian Senior Mathematics Journal, 2018, v. 32, n. 1, p. 26
- By:
- Publication type:
- Article
40
Teaching locus with a conserved property by integrating mathematical tools and dynamic geometric software.
- Published in:
- Australian Senior Mathematics Journal, 2016, v. 30, n. 1, p. 25
- By:
- Publication type:
- Article
41
A fascinating application of Steiner's Theorem for Trapezium: Geometric constructions using straightedge alone.
- Published in:
- Australian Senior Mathematics Journal, 2013, v. 27, n. 2, p. 6
- By:
- Publication type:
- Article
42
On periodicity of trigonometric functions and connections with elementary number theoretic ideas.
- Published in:
- Australian Senior Mathematics Journal, 2012, v. 26, n. 1, p. 50
- By:
- Publication type:
- Article
43
Interesting Conservation Properties of Areas in the Context of Parallelogram, Accompanied by Proofs Without Words and by Using Dynamic Research.
- Published in:
- International Journal for Technology in Mathematics Education, 2024, v. 31, n. 4, p. 197, doi. 10.1564/tme_v31.4.04
- By:
- Publication type:
- Article
44
Interesting Conservation Property - Always an Angle Bisector.
- Published in:
- International Journal for Technology in Mathematics Education, 2023, v. 30, n. 3, p. 202
- By:
- Publication type:
- Article
45
The Relationship Between the Sum of the Radii of Three Connected Right-Angled Triangles, and the Height of One of Them.
- Published in:
- International Journal for Technology in Mathematics Education, 2024, v. 31, n. 1, p. 33, doi. 10.1564/tme_v31.1.05
- By:
- Publication type:
- Article
46
Problem in Geometry, with Four Solutions, One of Them with Dynamic Research.
- Published in:
- International Journal for Technology in Mathematics Education, 2024, v. 31, n. 1, p. 29, doi. 10.1564/tme_v31.1.04
- By:
- Publication type:
- Article
47
A Quarter-Circle Investigation, Explanation and Generalization.
- Published in:
- International Journal for Technology in Mathematics Education, 2023, v. 30, n. 2, p. 109, doi. 10.1564/tme_v30.2.5
- By:
- Publication type:
- Article
48
Two Perpendicular Lines Related to a Circle: PWW accompanied by GeoGebra Applets.
- Published in:
- International Journal for Technology in Mathematics Education, 2023, v. 30, n. 2, p. 105, doi. 10.1564/tme_v30.2.4
- By:
- Publication type:
- Article
49
Identifying the Argumentations and the Mathematical Theorems of a Geometric Task.
- Published in:
- International Journal for Technology in Mathematics Education, 2022, v. 29, n. 4, p. 251, doi. 10.1564/tme_v29.4.06
- By:
- Publication type:
- Article
50
Using Technology and Proofs Without Words in Teaching Mathematical Reasoning to Pre-Service and In-Service Geometry Teachers.
- Published in:
- International Journal for Technology in Mathematics Education, 2023, v. 30, n. 1, p. 45, doi. 10.1564/tme_v30.1.4
- By:
- Publication type:
- Article