| Presentation Date: 05 / June / 2023 Author and IP Owner: ATHANASIOS KOKONTIS Author and Presenter Biography: Video Link:’ Author and Presenter LinkedIn Account: https://www.linkedin.com/in/athanasios-kokontis-47a63923/ Duration: 48:00 minutes Prerequisite: Introduction To Numerical Systems – Unit This presentation is a part of the course developed by Athanasios Kokontis – Developed and Advanced Theoretical Methods in learning Numerical Systems and Mathematics This presentation and the procedures follow ( DO NOT PRECEDE) the Numerical Systems Course Units and Training. Disclaimer: Kokontis does not provide tutoring services or in class teaching – we developed an education system for use by teachers and tutors, registered training organisation (RTOs), academia, practitioners and industry professionals. This presentation is a part of the course developed by Athanasios Kokontis – Developed and Advanced Theoretical Methods in learning Numerical Systems and Mathematics IMPORTANT – This presentation and the procedures follow (DO NOT PRECEDE ) the Numerical Systems Course Units and Training. – This is an introduction and not a comprehensive tutorial INTRODUCTION TO AUTHOR AND PRESENTER Introduction to the Author, Owner and Publisher, Athanasios Kokontis of this presentation can be found in the video link provided above. Suggestions by Author and Owner Athanasios Kokontis 1. Print the online readable version of this presentation using this Link: https://kokontiscourses.wordpress.com/reading-mathematical-equations-and-formulas-correctly-using-the-kokontis-procedures/ 2. Print the Transcript of this video presentation: Available on YouTube feature. This will allow you to review the content of this presentation offline and starting applying the procedures to your current education. 3. Contact the Author and Presenter, Athanasios Kokontis, for further interpretation by email: customer.enquiries@sitnokglobal.com or leave a comment on the Video page. PROPRIETARY AND IP PROPERTY TERMS AND CONTENT The term, instruction, is introduced and used by Athanasios Kokontis in the context of explaining Mathematics Signs, Notations and Symbols, Mathematical Methods and Procedures is considered a propriety term introduced by Athanasios Kokontis. Current Arithmetic Theory, Number Systems and Mathematics publications, textbooks and educational curriculum use different terms. |
| PRESENTATION OBJECTIVE 1. To assist Parents currently tutoring children with Mathematics subjects, also applicable for all demographics and skilled level people to commence learning the subjects of Numerical Systems and Mathematics with the correct procedures and methods. 2, This is an introduction by ATHANASIOS KOKONTIS to reading Mathematical equations and formulas using the developed procedural method of learning Numerical systems and all Mathematics topics. 3. This presentation is a part of the course developed by Athanasios Kokontis – Developed and Advanced Theoretical Methods in learning Numerical Systems and Mathematics – PRECEDING this presentation – Reading equations and formulas IS 12 MONTHS OF LEARNING AND VOLUME OF KNOWLEDGE IN NUMERICAL SYSTEMS. |
| DISTINCTION BETWEEN A NUMERICAL SYSTEM AND MATHEMATICS NUMERICAL SYSTEM = Is a group of numbers forming a system of measurement. MATHEMATICS = Is the use of the system of numbers. |
TERMINOLOGY 1. Numbers = Values = Absolute Values = Number System 2. Number System: refers to the set of numbers (values) in use today: (0,1,2,3,4,5,6,7,8,9) 3. Operations = to use the operands of Addition (+) , Subtraction (-), Multiplication (x) and Division (/) 4. Instructions: A proprietary term introduced and used by Athanasios Kokontis – to demonstrate the action of carrying out a calculation or computation using the above Operand 5. Computation = Calculation = Operation Numerical Symbols Used: | 2 | = Absolute Value or Absolute Number | 2 | = Positive Absolute Value or Number |-2| = Negative Absolute or Number The term Instructions: Is a propriety Term introduced by Athanasios Kokontis It replaces other explanations of the process and procedures in making a calculation ( Computation ) Example: + – / X = Operations and Instructions |
KOKONTIS – A BRIEF INTRODUCTION TO THE NUMBER SYSTEM
What is a SYSTEM A system is a set of components. To operate any system there must be procedures. Example: Operating a vehicle The procedures introduced in this presentation are: – procedures using the system of numbers to perform computations – using mathematical methods INTRODUCTION TO THE DECIMAL SYSTEM IN USE TODAY ![]() ![]() Numbers used in Levels – Temperature – Elevation ( above and below sea level) – Area (above or below ground) – Subtraction of a Positive Value ie: – |2| or |-2| – Change in direction – Up or Down Levels Measured: Require Positive and Negative Values ( Numbers) Lattitude |
| Explanations of OPERATIONS There are FOUR NATURAL OPERATIONS ,in a mathematics computation method. Addition (+) , Subtraction (-), Multiplication (x) and Division (/) Additional operations; Square Root (√ ) = Y of ( Y x Y Power Nⁿ = N x N All mathematics methods use these four operations. Regardless of the format of the formula. EXAMPLE: Algebra ![]() Geometry ![]() |
| What is a SYSTEM The procedures introduced in this presentation are: – procedures using the system of numbers to perform computations – using mathematical methods |
KOKONTIS – PROCEDURES FOR FOR READING AND COMPUTING MATHEMATICS EQUATIONS
The following are the developed procedures
Each procedure and step should be followed in order to achieve the correct skills in mathematics
| The Mathematics Equation (Example) 3-2(3 x 4) and 3-(-2)(3×4) | Correct Method |
| STEP 1 Identify the Values (Numbers) 3-4(3 x 4) | Absolute Values (numbers with lines on each side | x | |3| – |2| (x) |3| x |4| |
| 3-(-2)(3×5) | |3| – |-2| (x) |2| x |5| |
| STEP 2 Identify the instructions (Operation to be processed) Value: |3| Operation: – Subtract Value: |2| Operation: x Multiply Value: |3| Operation: x Multiply Value: |5| | |3| – |-2| (x) |3| x |5| |
| Step 3 Perform Computation (Calculation) using mathematical method (1st Part of Equation) |3| – |2| = |1| (x) (2nd Part of Equation) |3| x |4| = |12| _______ |3| – |-2| = |5| (x) |3| x |5| = |15| | Answer |1| x |12| = |12| Answer |5| x |15| = |75| |
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Reference and Citations:
Please copy the below citation when making reference to the content included in this presentation:
- Author and Owner: Athanasios Kokontis
- Year of publication (2023)
- Title: Developed and Advanced Theoretical Methods in Learning Numerical Systems and Mathematics
- Reference Topic: Reading Mathematical Equations and Formulas Correctly: Using the KOKONTIS procedures (A 15 minute tutorial)
- Place published; Sydney, NSW Australia
- Publisher: Athanasios Kokontis
- Series and volume number (General Tutorial)
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