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The article provide ideas and suggestions for using Polydron, which is a type of interlocking polygon, in teaching mathematics in mobile maths labs and classrooms. It highlights the two varieties of Polydron, namely the solid Classic and open Frameworks versions, which come in four different colors. It provides schematic illustrations of various activities that can be done with Polydron, divided into the solid and open forms, and cites references for each activity.

The article presents a lesson plan which teaches concepts of projective geometry.

The author gives advice on the construction of polyhedra. The author describes a common error he calls “equatorial misfit,” which occurs when the two halves of a polyhedra are misaligned. He also discusses “Satterthwaite solids,” which occur when an excess in a vertex on one side of a polyhedron is compensated by a deficiency on the other. The theories of René Descartes in relation to polyhedra creation is also explored.

The article offers information on the characteristics of tangential and cyclic polygons. It defines tangential polygons as polygons whose sides are tangent to an inner circle and if the vertices of such polygons are on the outer circle, they are called cyclic polygons. The author demonstrated with illustrations the steps to determine tangential and cyclic polygons.

The article discusses the author's experiences on two mathematical problems that made him become unfamiliar to familiar diagrams. His first experience was about the handshake problem which asks the number of handshakes made by the given number of people. The second experience was the number of diagonals the decagon have. He stresses the need to be aware of mathematical process to avoid the unfamiliarity of familiar problems.

The article reviews the web site "Times table tartans" located at www.magicmathworks.org/follow-up/ times-tables-for-teachers.

The author expresses his views in response to an article on special angles in trigonometry that was published in the February 2017 issue of the journal. Topics discussed include how the sines could be expressed more succinctly; the use of surds in simple trigonometric expressions; and the side-diagonal ratio of a regular pentagon.

The article offers a mathematical problem related to use of rhombuses to design a decagon.

The article presents a mathematical problem of wheel constructions, with considerations of rusty compasses and the absence of the straightedge.

The article features the Polydron Frameworks kit, a do-it-yourself building map-coloured polyhedra kit for school exercies for children during mathematics education classes and activities.

The article presents a mathematical problem for calculating number of bricks.

The article discusses how a bird observer can count the number of cranes migrating from one nation to another by using a pattern for judgement.

A problem which involves manipulating Kath's Cross is presented.

The article presents the mathematical problem focused on molehills and hemispheres.

The article discusses the possibilities on destroying cube symmetries with the help of red cubes.

A quiz concerning distribution of water in nine fair shares is presented.

In this article, the author presents an activity for children to explore root 2 rectangles by using A4 sheet of paper.

The article offers step-by-step instruction for producing the trifolium.

The article presents the author's views regarding various mathematical instruments. An elastic ruler is used to cut a swathe through vast areas of transformation geometry. It is short in length, around 6 inches and is of white shirring elastic. Another geometrical instrument mentioned in the article which is used for teaching purposes is the pantograph which is known as the Storchschnabel in Germany. According to the author, the mechanical mathematical instruments were better understood and appreciated prior to the Digital Age.

The article informs that in a previous issue of the journal, mathematician David Fielker described a number of domino problems, ending with a 8X7 grid of numbered squares representing a particular packing of the complete set but without the borders, which would reveal their arrangement. The author drew the grid with cells of 5cm edge so that he could use his giant dominoes from Plan Toys. On these, the numbers are colour-coded, which makes it easy to pick out the desired piece from the mass. Before turning to the cunning design of David's actual arrangement, the article presents some useful properties of any such discussion.

The article presents an activity plan that involves expressing geometric equivalences through the use of algebraic equations, noting various work on geometric exercises for children by educators Phil Boorman and Geoff Giles that used magnetized rubber shapes and algebra, respectively.

The article presents a geometry word problem involving dividing a square cake into five equal pieces.

A letter to the editor is provided in response to an article by Anne Watson on the subject of the Cockcroft Report for the teaching of mathematics in Great Britain, published in 2014.

A quiz concerning unit masses and balance is presented.

A quiz concerning the length of a rope in meters is presented.

A photograph is presented of multiple polygons made to produce the appearance of a tiling.

The article presents a mathematics word problem asking how a square cake can be cut into five equal pieces.

Images are presented of times-table triangles for use in mathematics education.

A mathematics word problem is presented that deals with a parabola, ellipse, and accuracy.

The article presents a mathematical problem for solving.

The article offers explanations to the visual illusions including Spongebob, Leprechaun and Turtle Shell related to lighting with different scaling.

The article presents author's comments on different types of visual illusions which includes the Spongebob Illusions, the Turtle Shell Illusions and the Leprechaun Illusions.

A quiz concerning dandelion clocks and photographs of buildings are presented.

Several graphs and diagrams related to mathematics are presented including one related to fraction cascade and the other on shapes including, circle, rhombus and triangle.

The article offers information on the construction of Pythagoras' Theorem using three right-angled triangles in mathematics.

The article discusses a mathematical solution to the baggage handling on airport carousels of closed curved structures. It proposes a non-convex carousels. It explains the perimeter and depth of such a closed curve carousel as a two-dimensional (2-D) polygonal and as a three-dimensional (3-D) structure.

The article presents a solution for establishing the validity of the Spider's Web construction which states that the polygon is regular if the equal sides of a convex polygon subtend equal angles at a chosen vertex which include discerning isosceles triangles, recognising parallels from the properties of transversals, and identifying congruent triangles.

The article presents mathematical proofs for solving indivisible numbers. The author offers three proofs of assertions related to the value of a whole number, the solution of a given equation in positive integers, and the possibility of a whole number total in isometric diagrams and complete triangles. Procedural elements related to obtaining other non-divisors by using several modulus are also included.

The article presents mathematical problems related to indivisible numbers and the Spider's Web theorem which states that a polygon is regular if the equal sides of a convex polygon subtend equal angles at a chosen vertex.

The article presents the solution of a mathematical problem involving 3-Fact triangles, in which it provides the method of obtaining the area and perimeter of each triangle and determines the number of the 3-Fact triangles in the problem.

The article offers information on the procedures in manipulating polynomials through Fibonacci numbers.

The article presents the May 2009 mathematical problems of the NRICH site in Great Britain. It is stated that the problem presented is the "Building Gnomons" in which the term gnomon usually refers to the piece needed to accomplish a similar term. It adds that the gnomon to a square completes a bigger square in which one of these shapes added to another will make the next one in the Fibonomino spiral.

The article focuses on the observation related to David Fielker's generalisation of the theorem of Francis Lopez-Real published in the "Mathematics Teaching" journal. It suggests a treatment by transformation geometry specifically the combination of rotation and enlargement, which sometimes be called a spiral similarity. In addition, every point in the plane follows a logarithmic spiral, in which they need only two properties, both evident from Euclidean geometry.

The article features a mathematical device used in trisecting angles and featured in the Magic Mathworks Travelling Circus. It indicates that the device corresponds to a paper-folding-aided nomogram. Moreover, it discusses how to create an accurate trisector from three thick acetate sheet using the device.