Misconceptions
The Family of misconceptions that I will examine is the following; multiplication and division always produces larger and smaller values respectively. This is related to the order in which children are taught the concepts of multiplication, Division and extending the set of numbers from integers to non integers and fractions. Misconception| Demonstration of why this is incorrect|

Multiplication always makes a number larger or it stays the same stays the samesolution larger than original number (5)| Multiplication can make numbers smaller multiplication by a decimal less than 1 multiplication by a fraction less then 1multiplication by a negative| Division always makes numbers smaller or they stay the same.solution smaller than original number (12)stays the same| Division can make a number larger division by a decimal less than 1 division by a fraction less than 1division of a negative number by another negative number| The primary reason that children have this misconception is when they first encounter the functions multiplication and division, they are only being exposed to positive integers, thus the examples that they will have been given and the examples they practiced will all have followed the pattern that multiplication makes numbers larger and division makes numbers smaller. The misconception persists when they individual does not draw a connection to the extension to the numbers space and the implications on the functions. Extension of the number space to decimals and fractions should dispel this misconception, as they should then be exposed to counterexamples to their misconception. In some cases the individual will see the examples they are asked to do as exceptions to their rule rather than a change in the way they perceive multiplication and division. If the individual is familiar with fractions then multiplication by positive numbers less than 1 can be couched in terms of fractions, When an individual is familiar...

...History of mathematics
A proof from Euclid's Elements, widely considered the most influential textbook of all time.[1]
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Before the modern age and the worldwide spread of knowledge, written examples of new mathematical...

...The evolution of mathematics might be seen as an ever-increasing series of abstractions, or alternatively an expansion of subject matter. The first abstraction, which is shared by many animals,[19] was probably that of numbers: the realization that a collection of two apples and a collection of two oranges (for example) have something in common, namely quantity of their members.Evidenced by tallies found on bone, in addition to recognizing how to count physical objects,...

...UNIVERSITY Of ZIMBABWE
FACULTY OF COMMERCE
TOURISM, LEISURE AND HOSPITALITY STUDIES DEPARTMENT
ROOMS DIVISION MANAGEMENT THM208
YEAR 2012
LECTURER: MRS. D ZENGENI
Time table
Monday 11.00-13.00hrs
Tuesday 11.00-12.00hrs
Preamble
This course is designed to introduce students to the principles of accommodation management in hospitality industry. Emphasis will be placed on Rooms Divisions’ traditional role as the best generator of the hotel’s revenue as...

...mother of Europe's languages. India was the mother of our philosophy, of much of our mathematics, of the ideals embodied in Christianity... of self-government and democracy. In many ways, Mother India is the mother of us all."
- Will Durant, American Historian 1885-1981
Mathematics is an important field of study. Mathematics is essential as it helps in developing lots of realistic skills, in fact study of mathematics itself include the...

...Week 5
Final Exam
Continuous schedule from Friday , November 1st. 9am until Saturday , November 2nd., 23:59pm.
Monday, November 4, 2013
20%
100%
To obtain the opportunity to take your final exam you should have delivered at least 6 activities.
Please keep this Agenda at hand so that you can deliver you assignments on time.
Greetings,
Blanca Alanís
Posted by: BLANCA HILDA ALANIS PENA
Posted to: CEL.HI09107V.343.13320 Inglés VII...

...Level 1/Level 2 Certificate
Mathematics
Specification
Edexcel Level 1/Level 2 Certificate in Mathematics
(KMAO)
First examination June 2012
Edexcel, a Pearson company, is the UK’s largest awarding body, offering academic
and vocational qualifications and testing to more than 25,000 schools, colleges,
employers and other places of learning in the UK and in over 100 countries
worldwide. Qualifications include GCSE, AS and A Level, NVQ and our BTEC...

...students’ understanding of equality and their skills in solving Algebraic Equations specifically Linear Equations. The researchers wanted to find out the misconceptions of selected 2nd Year students regarding the said topic. Moreover, they also wished to find out if using manipulatives such as counters and rectangles could help in correcting these misconceptions and provide a better understanding on the concept of equality and their skills in solving.
It was...

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