Course Description

The ultimate goal of the IDIIL Math Program is to equip students with a concrete foundation in procedural math skills, while also giving them a deep conceptual understanding of mathematics. Both skills and concepts are essential for developing the ability to learn higher level mathematics and for the long-term retention of the acquired knowledge.

The IDIIL Math Program stresses the development of mathematical concepts first by instilling in the students an appreciation of how and why the concepts are important and useful and then by leading them to learn how to construct the concepts. The development of math concepts for IDIIL math students is three-fold and involves (i) the “mathematization” processes, which begin with an intuitive understanding of concrete everyday mathematical situations and ends with abstract mathematical concepts and procedures; (ii) the “generalization” processes, where students construct advanced, abstract concepts based upon more rudimentary concepts previously mastered; and (iii) the “internalization” processes, when the math concepts become part of students’ internal memory set and they gain intuition for learning higher level concepts.

Major content of the MATH Program:

Number Concepts : Number System, Number Sense, Estimate, Number Theory, etc.

Arithmetic : Standard Arithmetic, Creative Arithmetic, etc.

Algebra :Pictorial algebra, Junior Function, Pre-algebra, Polynomial, Equation, Inequality, Series, Set, Vector, Matrix, Functions, etc.

Geometry : Standard Shapes, Spatial Perception, Plane Geometry, Solid Geometry, Analytic Geometry, etc.

Pre-Calculus : Trigonometry, Limit, Convergence, Difference Quotient, Combinatorics, Probability, Statistic, Continuity, Derivative, etc.

The goal of the IDIIL Problem Solving & Critical Thinking Program is to equip students with applied mathematics concepts, problem solving strategies & skills, analytical & critical thinking skills and mathematical thinking habits. In addition, students will be introduced to new abstract math concepts and that will deepen their understanding of previously learned abstract math concepts via problem solving situations.

The IDIIL Problem Solving & Critical Thinking Program, like other IDIIL individualized programs, help students learn concepts via the student-centered discovery process and then helps them to acquire firm skills via tailored individualized exercises. IDIIL’s curriculum is structured in a manner to allow students to observe patterns and discover new concepts while performing problem solving tasks in familiar mathematical situations. Students are constantly challenged to make judgments and decisions on why a concept or an algorithm was introduced and how it can be constructed, utilized and applied. Whenever possible, students will be challenged to make judgments and decisions by the use of given choices or free responses, on what is (are) the adequate/logical way(s) of making mathematical definitions relevant to related concepts.

Major content of the Problem Solving Program:

Problem Solving Skills : Mathematical significance of textual words, Condition, Textual words → Figures → Mathematical sentences → Algebraic sentences, single step → multi-steps, application of geometry, application of algebra, application of calculus, Dimensional Analysis, etc.

Applied Math : Ratio, Percent, Direct/Reverse Ratio, Average, Fraction, Measurement units, compound units, Speed Rate, Statistics, Probability, Combinatorics, etc.

Logic : Everyday Logic, relation between conditions, propagation of condition, Logic Charts, Logic Flow Chart, Logical Branch, reduction by elimination, Venn Diagram, application of Abstract Logic, etc.

Pattern Recognition & Spatial Perception

Analytical capabilities : Systematic analysis, Critical thinking, Strategy, etc.

The IDIIL English Program follows IDIIL 's overall philosophy closely. Similar to Math and Problem Solving, the English curriculum is custom-designed to challenge each individual learner. Our design team has developed a curriculum that enables students to learn reading, writing, and speaking skills via a process of self-discovery. Students gain a genuine understanding of the English language by experiencing continuous "moments of discovery."

The key to such discoveries is preparation . IDIIL prepares each English student to learn by thoroughly equipping him or her with all of the elemental concepts of the English language. As a student grasps these basic concepts, he or she becomes equipped to make new discoveries simply and naturally. This process is continuous: as the student experiences each new success, he or she becomes more and more confident and accurate in writing, reading, and speaking English.

The major content of the English Program:

Word Study : Phonics, Spelling, Word usage, Analogy, Word parts, Variation of words, Spelling rules, etc.

Grammar : Subject-Verb Agreement, Singular/Plural, Tense, Article, Preposition, Sentence Structure, Part of Speech, Clause, etc.

Reading Comprehension : Direct, Indirect, Main Idea, Referential Comprehension, Inferential Comprehension, Analytical Comprehension, Critical Reading, etc.

Basic Paragraph Writing Skills

The IDIIL Writing Program focuses mainly on helping the student to develop composition skills in order to aid them in completing various writing tasks in school. It also helps in the development of expository writing skills. Therefore, the ultimate goal of this program is to enable students to write a 5, or more, paragraph essay at the completion of our writing program. However, as any good writer knows, all good writing starts with the ability to generate interesting ideas and to elaborate on thought, so that the writing becomes meaningful and colorful. Therefore, our writing program starts with brainstorming and elaboration. Different levels of brainstorming and elaboration skills will be learned throughout each step of the program.

As with every other IDIIL individualized program, the IDIIL Writing Program allows students to learn new concepts and skills through discovery and appreciation toward the usefulness of these concepts and skills. In addition, students are constantly asked to constructively criticize their own writing and the writing of their peers in accordance with the concepts that they have learned so that their self-awareness and critical thinking capabilities are developed. IDIIL's writing program will enable students to perform all types of academic writing tasks with clarity and confidence.

In addition to composition skills, IDIIL 's writing program will also help to deepen students understanding and skillful usage of the language arts knowledge they have learned. However, in order for students to learn more effectively, students are asked to complete level D of our English program before they can begin our writing program.

The major content of the Writing Program:

Thought generation: Brainstorming, Elaboration, Main Idea, etc.

Organization: Cohesion, Opening Statement, Closing Statement, Paragraph Writing, Introduction, Body text, Summary, Essay Writing, etc.

Style: Descriptive Writing, Argumentative Writing, And Creative Writing, etc.

Voice: Creating writing that's Individualistic, Expressive, and Engaging. Writer takes into account audience and purpose.

Conventions: Grammar, Usage, Vocabulary, Sentence Structure and Variety

Criticism: Proofreading, Drafting, Revising, Editing, use of Peer and Teacher response guides