The Book of Mathematics

Reference: The Book of Subject Clearing

Pre-Kindergarten

Lesson 1: ORIENTATION & SPATIAL SENSE
Lesson 2: QUANTITY & NUMBER SENSE
Lesson 3: PATTERNS & RELATIONAL SENSE

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Kindergarten

Lesson 1: Orientation & Spatial Sense
Lesson 2: Numbers & Place Values
Lesson 3: Units & Fractions
Lesson 4: Counting & Measurements
Lesson 5: Numbers & Operations
Lesson 6: Patterns & Relational Sense
Lesson 7: Data Analysis & Probability

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Primary School

Lesson 1: Numbers
Exercise: Reading Numbers from Dubb
Exercise: Writing Numbers from Dubb

Lesson 2: Addition
Exercise: Addition Problems from Dubb

Lesson 3: Multiplication
Exercise: Multiplication Problems from Dubb

Lesson 4: Subtraction
Exercise: Subtraction Problems from Dubb
Exercise: Integer Problems from Dubb

Lesson 5: Division
Exercise: Short Division Problems from Dubb
Exercise: Long Division Problems from Dubb
Exercise: Arithmetic Expression Problems from Dubbs

Lesson 6: Units
Table: The Units of Measure
Exercise: Problems on Units from Dubb

  1. Long Measure
  2. Square Measure
  3. Rectangles
  4. Cubic Measure
  5. Time Measure
  6. Miscellaneous Tables
  7. Promiscous Examples
  8. Addition of Compound Numbers
  9. Subtraction of Compound Numbers
  10. Time between two Dates
  11. Time in Days between Two Dates
  12. Multiplication of Compound Numbers
  13. Division of Compound Numbers

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Middle School

Introduction

  1. What is Mathematics?
  2. Mathematics Overview
  3. Counting and Abacus 
  4. The Concept of Numbers
  5. Math Diagnostics

Lesson 1: Number to Integer
Exercise: Problems from Dubb (Word problems)

Lesson 2: Terms & Expression
Exercise: Problems from Dubbs (Word problems)

Lesson 3: Factoring
Exercise: Factoring Problems from Dubb

  1. Prime Factors
  2. Common Prime Factors
  3. Greatest Common Divisor
  4. Least Common Multiple
  5. Word Problems

Lesson 4: Fractions
Exercise: Fraction Problems from Dubb

  1. Integer to Fraction
  2. Mixed Number to Improper Fraction
  3. Improper Fraction to Mixed number
  4. Reducing Fraction to a Denominator
  5. Reducing Fraction to Lowest Terms
  6. Reducing Fraction to LCM & GCD
  7. Addition of Fractions
  8. Subtraction of Fractions
  9. Multiplication of Fractions
  10. Multiplication Word Problems
  11. Division of Fractions
  12. Finding Part of a Number
  13. Reducing Complex Fractions
  14. Complex Fraction Word Problems
  15. Word Problems for Fractions

Lesson 5: Decimals
Exercise: Decimal Problems from Dubb

  1. Writing Decimals
  2. Reading Decimals
  3. Decimals to Common Fractions
  4. Common Fractions to Decimals
  5. Addition of Decimals
  6. Subtraction of Decimals
  7. Multiplication of Decimals
  8. Division of Decimals

Lesson 6: Review of Basics
Make yourself familiar with these basics

  1. Real Numbers
  2. The Basics of Math
  3. Additional Math Concepts
  4. Equations & Transposition

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Further References

Course in Mathematics

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May 23, 2024 – 6:12 AM Categories: Mathematics | Post a comment

The Anomaly

Reference: Postulate Mechanics

The Anomaly

An anomaly is a violation of reality. It is characterized by

  1. Discontinuity (missing data)
  2. Inconsistency (contradictory data)
  3. Disharmony (arbitrary data).

The violation of reality appears in the form of disagreements. There are two different realities and the bridge between them is missing. There are contradictions and disharmonies. In this situation, the anomalies must be recognized, isolated and listed precisely, and then addressed one by one.

Such anomalies commonly exist in one’s observations and reasoning; but they may go as far back as being part of one’s viewpoint and even postulates. Those basic anomalies can distort one’s observation and train of logic. They come about when the postulates did not get updated to account for new sensations. In other words, the new experience did not get fully assimilated. 

Such anomalies generate aberrations in one’s perception, judgment and behavior. When a person is not responding appropriately to a situation, he is suffering from some anomaly in his thinking. This is handled by looking more closely at the inappropriateness of all his reactions according to the broad reality, and then narrowing them down to specific triggers. And then looking for possible experiences that were not fully assimilated.

When one spots the right anomaly, it resolves easily. The reality becomes clearer and one realizes what was happening.

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May 18, 2024 – 4:14 PM Categories: Postulate Mechanics | Comments (3)

The Misconception

Reference: Postulate Mechanics

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The Misconception

A misconception is an erroneous idea, or a mistaken notion, such as, “the sun goes around the earth.” The deeper and broader is a misconception, the wider is its influence in the society. It appears natural because everybody appears to think that way. 

2600 years ago, Buddha discovered, “The Absolute Truth is that there is nothing absolute in the world, that everything is relative, conditioned and impermanent, and that there is no unchanging, everlasting, absolute substance like Self, Soul, or Ātman within or without.” Yet, the majority of the people in the world still believe that, even though their body will die, their soul will live forever.

Misconceptions form the subtlest layer that underlies the layers of misjudgments and engrams. As an individual becomes aware of his misconceptions and resolves them, it becomes easier for him to recognize his misjudgments and resolve them too. As he keeps on doing so, one day he may come face to face with his birth engram and discharge it. Other engrams, if they exist, may then follow.

The process of Subject Clearing examines the concepts in any subject starting from the broadest and most fundamental concepts. When this process is applied to the subject of existence the problem of beingness starts to resolve rapidly.

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Misconception

In general, people do not realize the importance of resolving their misconceptions no matter how innocent they might appear. Many misconception are buried in the definitions that are provided to us through dictionaries.

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More Misconceptions

You may discover more misconceptions on your own, if you contemplate on each sentence of the above definition with mindfulness. Please see:

The 12 Aspects of Mindfulness

Then, you may end up improving upon this definition too.

Good luck!

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May 18, 2024 – 7:30 AM Categories: Universe | Comments (1)

The Identification

Reference: Postulate Mechanics

The Identification

Identification is unconsciously taking the form of what one has sensed but not fully assimilated.

When the Self first senses the Universe it obtains an impression. This impression must be fully assimilated with rest of its experience before Self can become consciously aware of it.

Identification is the stage when the Self, being impressed, acts out according to that impression, while not conscious of it. It is unable to control those actions until impression is fully assimilated. 

All difficulties of a person stem from acting according to the impressions that are not yet assimilated. The person cannot think beyond those impressions. He thinks those impression to be his self.

Identification results in a fixation of attention. The fixation simply narrows the person’s viewpoint. For example, a person who is identifying himself with his body, is mainly aware of the needs of the body for sex, food and survival. All his concerns are guided by those needs.

As these impressions and fixations assimilate the person is able to act more and more with conscious awareness.

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Misconception

It is a key misconception that one knows it all and one does not need to look at things closely.

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More Misconceptions

You may discover more misconceptions on your own, if you contemplate on each sentence of the above definition with mindfulness. Please see:

The 12 Aspects of Mindfulness

Then, you may end up improving upon this definition too.

Good luck!

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May 17, 2024 – 10:46 AM Categories: Universe | Comments (2)

The Engram

Reference: Postulate Mechanics

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The Engram

An engram is a condensed sensation that is difficult to assimilate naturally in the mental matrix. Therefore, a person is not aware of its content, or even its presence. The engram is generated during birth, or during a traumatic experience. The unassimilated engram influences the body and mind adversely, causing aberrations and much discomfort. 

Birth is an excellent example of an engram. Everyone has it, and it generally is the cause of the auto-immune disease in the body. When a person becomes aware of his birth engram and assimilates it, the auto-immune disease disappears. The damage already caused by the auto-immune disease, however, may take a long time to repair itself.

Engrams, when spotted and examined closely, start to unravel for the first time like a literal recording of some past incident. This is different from a memory, which is known to exist, and is often recalled. 

The ‘past life memories’ are engrams that are startling when unravelled for the first time because their time characteristics do not fit with the present. Later they are recalled like any memory, to make sense out of them. Such engrams are said to be carried forward on the genetic line. They seem to continue from one generation to the next until they are finally assimilated.

The engrams underlying ‘past life memories’ were known in Buddha’s time as  ’samskara’. They were said to determine the deep-seated tendencies of a person that he could not control. These ’samskara’ depended on a person’s past ‘karma.’

The number of engrams existing in an individual are few. They are obvious and come up first during subject clearing. As one continues to address introversions and misconceptions, the remaining engrams will naturally come up if they exist.

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Misconception

A past life engram does not necessarily imply that the individual has lived before. The engram may have come into existence in the life of an ancestor. Besides, there is no single engram, the discovery and assimilation of which will handle the whole case of the individual.

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More Misconceptions

You may discover more misconceptions on your own, if you contemplate on each sentence of the above definition with mindfulness. Please see:

The 12 Aspects of Mindfulness

Then, you may end up improving upon this definition too.

Good luck!

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May 17, 2024 – 7:01 AM Categories: Universe | Post a comment