Core Maths Skills
Become Great at Mathematics for GIS Professionals
Introduction
Welcome to the first offering of the module: Mathematics for GIS Professionals. This an informal preparatory course for GIS Professionals who want to refressh their mathematics. To get a formal qualification in mathematics for GIS you can visit ESRI South Africa.
If you get stuck and want to ask a question, simply ASK HERE and you can also ANSWER other people’s questions.
Mathematics Anonymous Support Group
Course Information:
Course  The Mathematical Genius in You 
Programme Type  Motivation and Self Improvement in Mathematics 
Partner Institute  The Education Support Forum (TEDSF) 
Award Type  Certificate of Participation 
Award Issued By  MathsGee 
Accredited By  Not Applicable 
SAQA ID  Not Applicable 
Target Audience  Both learners and their parents 
Course Duration  SelfPaced 
Entrance Criteria 

Course Outline
The Mathematical Genius in You course is based on the bestselling book of the same title by Edzai Conilias Zvobwo.
The Aims of this Course
This course has been developed with you in mind! It is a personal and candid blueprint on how to succeed in mathematics and problemsolving in general. The course is for both parents and learners who would like to know how to walk the mathematical journey together. It is geared towards tackling mathematical anxiety which affects a lot of people.
Its objective is to motivate, educate and in the process expose the correct mindset, attitude and attributes necessary to excel in mathematics. The course seeks to demystify mathematics as a learning area then give tips on how to become a good problem solver regardless of varying mathematical abilities. It has been developed for those who:
 Have given up on mathematics, so that they can rekindle the lost love.
 Would like to ignite the passion for mathematics that never existed before.
 Think they have an average mathematical ability but wish to climb the mathematical ladder and push towards excellence.
 Have already found the secret to success and perhaps do not realise this thus should be encouraged to ‘stay on top’.
At the formative level, this course seeks to produce problem solvers and logical beings that are versatile in the workplace and life in general.
The principles exposed in this course can be applied to other learning areas and it is hoped that after completing this course you should able to know where you stand mathematically and then work to improve your status. You can be the maths genius you have secretly always wanted to be.
If you are a parent you will be shown the attributes and attitudes to emphasize to your children so as to optimize their mathematical potential.
For teachers, this course is handy in getting skills to motivate students to adopt a positive attitude towards math.
The ultimate aim is for learners to be able to fully acquire math knowledge and skills, combine logical and intuitive reasoning and communicate effectively on interpretations in context to the real world using appropriate mathematical language and notations.
Use this course in conjunction with your textbooks and mathematical happiness will follow. Once you know how to think like a mathematician then victory and success are yours.
Go for it, go for gold. I know you can push yourself to be the best you can be.
Mathematics Anonymous
The course includes a discussion forum called Mathematics Anonymous (run by The Education Support Forum). It is a community of ordinary people who have decided to hold each other’s hands in exploring ways to achieve in mathematics. Members have different experiences with the subject and together they try and overcome all the barriers to success. The forum is targeted at both parents and learners so they can support each other in the mathematical journey. It is a forum to share best practices and also go into detail through the interactive maths QnA sessions.
Become A Logical Mathematical Thinker
The main objective of this course is to empower students to with skills for proofs of propositions and theorems.
This course bridges the gap between introductory mathematics courses in algebra, linear algebra, calculus and advanced courses like mathematical analysis and abstract algebra.
Another objective is to pose interesting problems that require you to learn how to manipulate the fundamental objects of mathematics: sets, functions, sequences, and relations.
The topics discussed in this course are the following:
 mathematical puzzles
 propositional logic
 predicate logic
 elementary set theory
 elementary number theory
 principles of counting.
The most important aspect of this course is that you will learn what it means to prove a mathematical proposition. We accomplish this by putting you in an environment with mathematical objects whose structure is rich enough to have interesting propositions.
The environments we use are propositions and predicates, finite sets and relations, integers, fractions and rational numbers, and infinite sets.
Each topic in this course is standard except for the first one, puzzles. There are several reasons for including puzzles. First and foremost, a challenging puzzle can be a microcosm of mathematical development. A great puzzle is like a laboratory for proving propositions. The puzzler initially feels the tension that comes from not knowing how to start just as the mathematician feels when first investigating a topic or trying to solve a problem. The mathematician “plays” with the topic or problem, developing conjectures which he/she then tests in some special cases. Similarly, the puzzler “plays” with the puzzle. Sometimes the conjectures turn out to be provable, but often they do not, and the mathematician goes back to playing. At some stage, the puzzler (mathematician) develops sufficient sense of the structure and only then can he begin to build the solution (prove the theorem).
This multistep process is perfectly mirrored in solving the KenKen problems this course presents. Some aspects of the solutions motivate ideas you will encounter later in the course. For example, modular congruence is a standard topic in number theory, and it is also useful in solving some KenKen problems. Another reason for including puzzles is to foster creativity.
Course Information
Welcome to Become A LogicalMathematical Thinker! Below, please find some general information on the course and its requirements.
Time Commitment: While learning styles can vary considerably and any particular student will take more or less time to learn or read, we estimate that the “average” student will take 112.25 hours to complete this course. We recommend that you work through the course at a pace that is comfortable for you and allows you to make regular (daily, or at least weekly) progress. It’s a good idea to also schedule your study time in advance and try as best as you can to stick to that schedule.
Tips/Suggestions: Learning new material can be challenging, so below we’ve compiled a few suggested study strategies to help you succeed.
Take notes on the various terms, practices, and theories as you read. This can help you differentiate and contextualize concepts and later provide you with a refresher as you study.
As you progress through the materials, take time to test yourself on what you have retained and how well you understand the concepts. The process of reflection is important for creating a memory of the materials you learn; it will increase the probability that you ultimately retain the information.
Learning Outcomes
Upon successful completion of this course, you will be able to:
 Read and dissect proofs of elementary propositions related to discrete mathematical objects such as integers, finite sets, graphs and relations, and functions.
 Translate verbal statements into symbolic ones by using the elements of mathematical logic.
 Determine when a proposed mathematical argument is logically correct.
 Determine when a compound sentence is a tautology, a contradiction, or a contingency.
 Translate riddles and other brainteasers into the language of predicates and propositions.
 Solve problems related to place value, divisors, and remainders.
 Use modular arithmetic to solve various equations, including quadratic equations in Z_{6}, Z_{7}, Z_{11} and Diophantine equations.
 Prove and use the salient characteristics of the rational, irrational, and real number systems to verify properties of various number systems.
 Use mathematical induction to construct proofs of propositions about sets of positive integers.
 Classify relations as being reflexive, symmetric, antisymmetric, transitive, a partial ordering, a total ordering, or an equivalence relation.
 Determine if a relation is a function, and if so, whether or not it is a bijection.
 Manipulate finite and infinite sets by using functions and set operations.
 Determine if a set is finite, countable, or uncountable.
 Use the properties of countable and uncountable sets in various situations.
 Recognize some standard countable and uncountable sets.
 Determine and effectively use an appropriate counting tool to find the number of objects in a finite set.
Throughout this course, you’ll also see related learning outcomes identified in each unit. You can use the learning outcomes to help organize your learning and gauge your progress.
Become Amazing At Grade 12 Mathematics – Term 2
Course Information:
Course  Grade 12 Mathematics – Term 2 Revision 
Programme Type  Provider Programme 
Partner Institute  Mindset Learn 
Award Type  MathsGee Short Course Certificate 
Award Issued By  MathsGee 
Accredited By  Not Applicable 
SAQA ID  Not Applicable 
NQF Level  Not Applicable 
Course Duration  SelfPaced 
Entrance Criteria 

MathsGenius Video Tutorials
Course Information:
Course  MathsGenius Videos 
Programme Type  Provider Programme 
Partner Institute  Not Applicable 
Award Type  MathsGee Short Course Certificate 
Award Issued By  MathsGee 
Accredited By  Not Applicable 
SAQA ID  Not Applicable 
NQF Level  Not Applicable 
Course Duration  SelfPaced 
Entrance Criteria 

A series of videos done by Edzai Zvobwo for the SABC, Africa’s biggest broadcasting corporation.
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