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The article discusses a session held in East Midlands, England titled "Mathematical Theory of Paper Folding" held in the summer of 2013 designed for use in teaching mathematics. Topics discussed include the construction of two- and three-dimensional (3-D) shapes using A-size paper, the use of paper folding to solve mathematical word problems, and tessellations.

The article focuses on the proposal to utilize fashion and paper dolls to assist mathematics teachers in teaching the students on multiplicative principle in Great Britain. The proposal aims to help the children understand multiplication much easier through integrating fashion and paper cut outs which are entertaining and an enjoying activity. It notes that the method enhance the child's imagination, creativity, combinatorics and logic.

The article presents the discussion on testing across compulsory education having negative impacts upon children's mathematics education. Topics include encapsulating twelve years of compulsory mathematics education using three examination papers over the course of a few weeks in May/June; and examination question being used for assessing students' engagement with relationships and the interconnectedness of mathematics.

Suggests a paper-folding activity that can be connected to the "sloping squares" task in mathematics. Creation of square roots by folding paper.

The article focuses on the activity programs in education that could lead to deep progress and counter the short term goals and quick delivery that seem to lead to whole terms of revision and no long-term learning. The activity program mentioned in the article is about inequality sign in mathematics. A lot of time was spent on the activity with the students, discussing the number line, the set of solutions and the boundary. Before moving to the idea of solution, there were plenty of opportunities to work on substitution. What students need is to have a depth of understanding of the work, so that they do not spend all their time rehearsing the examination question without anything to hang their learning on.

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

Comments on an article by Malcolm Swan in 'Mathematics Teaching' magazine in which he described a way to divide up the length of a rectangle into fractions using a series of folds.

Suggests ways mathematics teachers can make use of documents which were distributed to schools in Great Britain during the life of the National Curriculum. Includes an activity involving corner numbers; Squares and lines; Benefits of working on the activities.

The article explore how origami can support learners development of visualisation skills. It mentions that benefits of visualisation with origami including visual proofs being problematic, and the materiality of paper undermining the mathematics, wherein these limitations should be considered like those of any mathematical model or method. It also mentions about the use of algebra and trigonometry for the same.

The article focuses on teaching shapes and patterns to children and mentions the Pattern Project team, formed to develop young children's pattern awareness in a school in Australia. The team consisted of early years teachers and authors' Helen Thouless, Sue Gifford. It includes the mathematic activities designed by teacher Simon Lewis for his students. Simon designed an activity where the students could stick blocks on a piece of paper to show the pattern.

The article presents the author's response to the white paper which centers on the significance of teaching in Great Britain. He addresses the declined status of math teaching profession in the country. He points out that an argument will occur in the increasing control from the centre in relation to nationalised education curriculum, assessment, and pedagogy for students learning. He recommends for the expansion in the scope of key stage two tests review intended for primary education.

Presents solutions to several mathematical problems discussed in Malcolm Swan's article, titled 'Paper folding: Fractions'. Use of the mathematical concept of similarity; Dividing the diagonal; Euclidean proof.

Suggests a proof for a fraction problem posed in 'Mathematics Teaching' magazine.

The article discusses how the Soroban can help children understand the decimal system. Topics include Soroban is a Japanese abacus, which can help children to understand number concepts and visually demonstrates the decimal system; It enables you to add, subtract, multiply and divide much faster and more confidently than you can with a paper and pencil, and, with practice, as quickly as a calculator; and the Soroban consists of a frame, a beam, and beads on digit rods.

The article presents the author's discussion on a teaching method which develops students' skills and understanding about mathematics. The paper-folding activity known as Dragon curves is a strategy that lets the teachers to ask questions about the folding. The authors believe that asking good questions is an important part of teaching children mathematic thinking. Thus, Dragon curve activity is a proper strategy in mathematics teaching.

The article offers step-by-step instruction for trisecting angles by paper folding.

Describes a mental starter activity to show the importance of planning for a successful implementation of strategies designed to stimulate mathematical learning and thinking. Paper folding fractions.

Assesses the effectiveness of paper folding fractions for mathematics students.

The article describes the author's experience of helping a nine-year-old kid with fractions. Topics discussed include the correct ways to add fractions; different equations to see how the unit fraction additions were connected together, and a paper-folding method for addition of fractions.

Analyzes the diagonals of a rhombus in a rectangle. Properties of an A4 sheet of paper; Calculation of the lengths of diagonals; Use of paper sheets for spatial constructions; Size of an A4 sheet of paper according to the European norm; Inscription of rhombus in rectangles.

The article presents some basic concepts from knot theory as a natural extension of commonly-taught geometric ideas in Great Britain. Accordingly, the paper discusses the three basic knot theory activities that are appropriate for elementary grade children. The paper also suggests that students must try to come up with their own knots by starting with an actual rope, or else with flat drawings and experiment it with different crossing combinations to see if new knots can be discovered.

Discusses mathematicians' attitudes to proof and the supposed lack of it in elementary education. Development of proving procedures; Historical information on the mathematical theory of proof; Ways in which mathematical deduction can be grasped and applied by children of any age.

The article describes research by a group of primary and secondary education teachers that explored how students can develop more efficient calculation methods in division. Details are provided on the study how students in Year 4 through Year 7 classrooms made strategy decisions in performing division calculations, such as using mental calculations, writing the problem on paper, or using a calculator. Particular attention is given to drawing making connections to multiplication in promoting efficiency.

The article offers information on creative methods used in mathematical education with special focus on incorporating games including shape-making through paper folding to study 30°, 60° and 90° triangles. The article mentions a few accessible problems in dealing with these triangles. It also discusses several articles on various topics, featured on the website of the journal including activities for pivotal tables and the craft of teaching.

The article presents a study on the different tools and methods for some constructions in a triangle. It is stated that the perpendicular bisectors of a triangle and the angle bisectors of triangle are applied in the study. It adds that paper folding, ruler and compasses, and dynamic geometry are also used as methods to create geometrical objects.

The author describes his categorization of practical mathematical tasks using drama, body maths and a host of outlandish props in Great Britain. Accordingly, the author discusses the categories in this teaching method and how it can be effectively applied in the classroom. He concluded that this teaching method is an invitation to the classroom teacher to design their own kinaesthetic and visual lessons by dipping, in an inventive way, into the categories presented in the paper.

Focuses on the mathematical graphics of young children. Identification of counting as one of the significant ways in which young children develop mathematical understanding; Claim that children are born with an innate learning device known as the accumulator; Importance of tools such as pencil and paper for encouraging children's understanding of calculations.

Outlines the steps in making a polyhedra out of cardboards. Materials needed; Ruling, scoring and marking of the paper strips; Making the base, the first three sides and the fourth side; Preparation of the top; Recommended use of the technique as a classroom activity in teaching geometry.

Discusses two classical types of sphere, regular or Platonic and solids and the semi-regular or Archimedean. Identical regular polygon; Three faces at each vertex; Folding paper to make modules that are ideal for building Archimedean solids.

Introduces the use of a tactile form of graph paper for the study of mathematics by visually impaired students. Creation of the tactile diagrams; Necessity of graphical representations; Drawing a bar chart; Blind people's lack of the concept of perspective.

A personal narrative is presented which explores the author's experience of teaching seven and eight-year-olds about monoidal categories using a concrete model of cardboard rectangles and bits of string.

The article presents the author's views on his personal journey in developing an understanding of the relationship between critical citizenship and mathematics. Topics discussed include accuracy of information from mathematical computer models; a paper on uncertainty and the preventive paradigm, which emphasised characteristics of uncertainty; his experience of attending a meeting of the International Council for the Exploration of the Sea.

The article offers information on an investigation attempting to illustrate an attempt combining a common approach to fraction equivalence and whole number multiplication and division, in mathematical education of elementary school students. The study inspired by a 2001 research paper by Susan B. Empson of the University of Texas in Austin, seeks to present how equivalent fractions and whole numbers operations are connected. Also mentioned are the different steps of the procedure.

The article presents a discussion on the impact of pupil's attitude on their attainments in mathematics and the importance of fostering positive attitudes. The author states that his experience as a teacher made him believe that the attitude of the pupils has a profound effect on the way they learn mathematics. The paper addresses the questions, which includes the importance of attitude, teaching's effect on attitude and the teachers' job to promote positive attitudes.

The article presents a mathematical research which describes some different ways of visualizing the sum of a series. Accordingly, there is importance of visualization and multiple representation in mathematics, especially in the context of problem solving. The paper also presents a mathematical formula in solving the sum of a series.

The article deconstructs approach to written subtraction applied in the primary national strategy's (PNS') "guidance paper" Calculation (DIES, 2007) in the U.S. The approach to subtraction is divided into three stages. The first stage provides recommendations which parallel those outlined for additions. The second stage suggests a backward step while the third step involved an expanded method.

The article presents the author's experiences while conducting an examination on the UKMT Intermediate Mathematical Challenge paper and open-source software GeoGebra. He introduced the problem related to the subject to the students by giving them appropriate explanation with examples. Initially, various students encountered difficulties related to the comprehension of the problem, but gradually the exercise turned into an interesting discussion on the topic.

Presents the procedure in making flexagons. Use of photocopied isometric paper for three-faced flexagon; Addition of colored patterns for flexagon making; Technique for flexing hexaflexagon.

Presents insights on papers presented in second and seventh International Congress on Mathematical Education (ICME). Changing concerns of the ICME; Teachers as researchers in action; Reason behind the gap between teachers and researchers in mathematics.

In this article, the author discusses transformation in her mathematics teaching after placing large white boards around her classroom. Topics discussed include use of Robin Alexander's work on dialogic teaching as a framework for analysing the interviews and audio recordings of students about their experience, Douglas Barnes' seminal work on classroom talk and opportunities within classrooms for students.

The article presents the author's discussion on the positive impact of providing pupils' homework in the web site. Before she settled on the idea of using a web site, she has dealt with the various problems like paper lost, nonparticipation, and disorganization. Through the use of a web site, she and her pupils acquire several benefits like no more forgotten papers, parents easy access, and easier updates. Several comments of the pupils about the use of web site are included.

Presents an introduction and executive summary for a join response to the White Paper 14-19 Education and Skills of the Association of Teachers of Mathematics, the Mathematical Association and the National Association for Numeracy and Mathematics in College in the U.S. delight of the White Paper's designation of mathematics as a core subject; Support on the continued commitment to the on-going implementation of the Smith reporter; Comments on some important issue raise on the paper.

The article focuses on the first issue of the journal of "Mathematics Teaching (MT)," and highlights the differences between the first issue of the journal and the publications of later years up to the present day. After the foundation of the Association for Teaching Aids in Mathematics in 1951, first issue of MT was released in November 1955, with 600 printed copies and 1,000 complimentary slips. There were no photographs, no color, no glossy paper and no articles reporting lessons in primary and lower secondary schools and the descriptions of what the pupils were actually doing, in the first issue. But over the period of time, all these things can be seen in the current issues of the MT.

Responds to publications on basic numeracy and algorithms by Michael Girling and Piotr Zarzycki. Distinction between mental calculation and paper and pencil method; Connection between particular numbers and individuals feel for the numbers; Application of a strategic or procedural method.

Analyzes matched samples of English medium and Welsh medium Mathematics examination scripts to see whether some questions posed particular difficulty to candidates because of its linguistic form and content. Sample scripts from the Summer 1992 GCSE Paper 2 examination.

The article reports on the research on assessment and learning in Great Britain. Accordingly, the researchers have synthesized evidence from over 250 studies linking assessment and learning. The result of the research revealed that effective assessment promotes learning. The research also indicates that improving learning through assessment depends on five factors which are also presented in the paper.

The article presents a conversation between the author and his colleague about the application of number, level two groups. He notes that for those in the dark, in order to pass the application of number, level two, one must supply an acceptable portfolio and reach 55 percent in a multiple choice paper.

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.

A personal narrative is presented which discusses the author's experience of incorporating paper folding to mathematical teaching.