Programme Module Number: SMA4011 Assignment Title: Planning for Effective Teaching and Learning in Mathematics Deadline date: 7th March 2014 Tutor: Martin Pickett Comments related to Learning Outcomes: On successful completion of this module you will be able to: LO1 Critically evaluate the current curriculum‚ planning and assessment practice relating to mathematics‚ LO2 Analyse the individual needs of learner‚ planning and differentiating accordingly‚ to ensure progression
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Without knowing something about differential equations and methods of solving them‚ it is difficult to appreciate the history of this important branch of mathematics. Further‚ the development of differential equations is intimately interwoven with the general development of mathematics and cannot be separated from it. Nevertheless‚ to provide some historical perspective‚ we indicate here some of the major trends in the history of the subject‚ and identify the most prominent early contributors. Other
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deductive reasoning applied to geometry. * Discovery that a circle is bisected by its diameter‚ that the base angles of an isosceles triangle are equal and that vertical angles are equal. * Accredited with foundation of the Ionian school of Mathematics that was a centre of learning and research. * Thales theorems used in Geometry: 1. The pairs of opposite angles formed by two intersecting lines are equal. 2. The base angles of an isosceles triangle are equal. 3. The sum of the angles
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CHAPTER 1 BACKGROUND The twentieth century has been filled with the most incredible shocks and surprises: the theory of relativity‚ Communist revolutions‚ psychoanalysis‚ nuclear war‚ television‚ moon walks‚ genetic engineering‚ and so on. As astounding as any of these is the advent of the computer and its development from a mere calculating device into what seems like a "thinking machine." The birth of the computer was not wholly independent of the other events of this century. The history of
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to understand where π fits in to the world of mathematics‚ one must understand several of its properties: π is irrational and π is transcendental. The History of π In the long history of the number π‚ there have been many twists and turns‚ many inconsistencies that reflect the condition of the human race as a whole. Through each major period of world history and in each regional area‚ the state of intellectual thought‚ the state of mathematics‚ and hence the state of π‚ has been dictated by
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life‚ and was first educated by her uncle‚ who read her fairy tales‚ taught her chess‚ and talked about mathematics. She even bumped into the subject of trigonometry while studying elementary physics. She achieved all of this by the age of thirteen. At age 15 she had studied the topics of mathematics‚ literature‚ medicine‚ and physics. She wanted to excel mainly in literature and mathematics and pursue college career. But ever since 1863‚ Russian universities had been closed to women. If you
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Ma KEY STAGE Mathematics tests 3 ALL TIERS Mark scheme for Paper 2 Tiers 3–5‚ 4–6‚ 5–7 and 6–8 2007 National curriculum assessments 2007 KS3 Mathematics test mark scheme: Paper 2 Introduction Introduction The test papers will be marked by external markers. The markers will follow the mark scheme in this booklet‚ which is provided here to inform teachers. This booklet contains the mark scheme for paper 2 at all tiers. The paper 1 mark scheme is printed in a separate booklet
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learn from God’s making or from the nature. There are many different areas of knowledge‚ from natural sciences (most notably physics‚ chemistry and biology)‚ mathematics up to areas like human sciences‚ history‚ religion and arts. As a generalisation it can be said that discoveries play a bigger role in natural sciences and even in mathematics than in areas like religion or arts. Art‚ be it a painting or a piece of music or certain literature‚ is generally invented by individuals. If a piece of art
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Rihll states‚ “Mathematics probably ranks as the Greeks’ greatest achievement” (Rihll 39). Which is interesting because it is not exactly what we think of mathematics today because they did not use what are now our basic symbols like the plus sign (+)‚ minus sign (-)‚ or even the equals sign (=) and they used pebbles to do calculations (Rihll
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all over the world. Leonhard Euler was born on April 15‚ 1707 in Basel‚ Switzerland. Before he decide to become a mathematician‚ he at first thought he was going to be a clergyman‚ a religious priest. His parents‚ however‚ saw his potential for mathematics and sent him to study with Johann Bernoulli‚ who was a famous Swiss mathematician. After studying with Johann for a few years‚ Euler attended the University of Basel and thus earning his masters in his teens! Which is awesome‚ if you ask me. After
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