107.14 Does a trapezium exist whose side lengths form a geometric progression?
- Published in:
- Mathematical Gazette, 2023, v. 107, n. 569, p. 301, doi. 10.1017/mag.2023.60
- By:
- Publication type:
- Article
Works by Stupel, Moshe
Results: 78
1
2
107.10 Trapezia whose side-lengths form an arithmetic progression.
- Published in:
- Mathematical Gazette, 2023, v. 107, n. 568, p. 147, doi. 10.1017/mag.2023.24
- By:
- Publication type:
- Article
3
106.13 A triangle inequality.
- Published in:
- Mathematical Gazette, 2022, v. 105, n. 565, p. 138, doi. 10.1017/mag.2022.28
- By:
- Publication type:
- Article
4
106.10 PWW: Trigonometric inequality.
- Published in:
- Mathematical Gazette, 2022, v. 105, n. 565, p. 134, doi. 10.1017/mag.2022.25
- By:
- Publication type:
- Article
5
105.44 A segment inside a square that is equal to the side of the square.
- Published in:
- Mathematical Gazette, 2021, v. 105, n. 564, p. 522, doi. 10.1017/mag.2021.126
- By:
- Publication type:
- Article
6
Geometrical theorems about conservation of area for use in classroom activities.
- Published in:
- Mathematical Gazette, 2021, v. 158, n. 3, p. 61, doi. 10.1017/mag.2021.8
- By:
- Publication type:
- Article
7
104.35 Proof without Words: A right triangle ABC with altitude AH = $$\[\frac{1}{4}\]$$ BC.
- Published in:
- Mathematical Gazette, 2020, v. 104, n. 561, p. 534, doi. 10.1017/mag.2020.113
- By:
- Publication type:
- Article
8
104.34 The beauty of mathematics — the connection between the areas of three squares.
- Published in:
- Mathematical Gazette, 2020, v. 104, n. 561, p. 532, doi. 10.1017/mag.2020.112
- By:
- Publication type:
- Article
9
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
10
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
11
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
12
Elegant special cases of Van Aubel's theorem.
- Published in:
- 2015
- By:
- Publication type:
- Chart/Diagram/Graph
13
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
14
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
15
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
16
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
17
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
18
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
19
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
20
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
21
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
22
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
23
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
24
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
25
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
26
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
27
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
28
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
29
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
30
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
31
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
32
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
33
Absolute value equations – what can we learn from their graphical representation?
- Published in:
- 2014
- By:
- Publication type:
- Essay
34
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
35
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
36
Three Segments on the Diagonal of a Square.
- Published in:
- Mathematics Magazine, 2021, v. 94, n. 3, p. 227, doi. 10.1080/0025570X.2021.1908786
- By:
- Publication type:
- Article
37
Proof Without Words: An Elegant Property of an Isosceles Right Triangle.
- Published in:
- Mathematics Magazine, 2018, v. 91, n. 4, p. 254, doi. 10.1080/0025570X.2018.1503035
- By:
- Publication type:
- Article
38
Proof Without Words: An Elegant Property of a Triangle Having an Angle of 60 Degrees.
- Published in:
- Mathematics Magazine, 2017, v. 90, n. 3, p. 220, doi. 10.4169/math.mag.90.3.220
- By:
- Publication type:
- Article
39
Proof Without Words: An Elegant Property of the Equilateral Triangle.
- Published in:
- Mathematics Magazine, 2015, v. 88, n. 3, p. 186, doi. 10.4169/math.mag.88.3.186
- By:
- Publication type:
- Article
40
Proof Without Words: A Property of a Cyclic Polygon with an Even Number of Vertices.
- Published in:
- College Mathematics Journal, 2022, v. 53, n. 2, p. 146, doi. 10.1080/07468342.2022.2020588
- By:
- Publication type:
- Article
41
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
42
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
43
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
44
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
45
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
46
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
47
Special Properties of a Triangle with an Angle of 60°.
- Published in:
- 2021
- By:
- Publication type:
- Announcement
48
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
49
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
50
Proof Without Words.
- Published in:
- Ohio Journal of School Mathematics, 2016, v. 74, p. 22
- By:
- Publication type:
- Article