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Description
If you are looking for an easily understood course that teaches the basics of calculus, check out this program. An engineer and academic philosopher, the author interweaves the story of calculus with philosophy and science from a Christian perspective. He says the fundamentals of calculus can be taught to anyone with a basic understanding of algebra; this course only requires Algebra I as a prerequisite.
The program's goal is to help students master the foundational concepts of limits, derivatives, and integrals, explaining how all three are united in the fundamental theorem of calculus. The focus is on concepts of calculus proper, not on complicated functions such as rational, trigonometric, exponential, or logarithmic functions. Once the basic concepts of calculus have been mastered, students can go on to more complicated calculus concepts, if desired. However, completing this course will count as one high school credit.
The presentation of the material is as well done as the content itself. The layout makes it easy to understand and there are over 600 hand-drawn illustrations and equations. This is a book to read and read again if a concept is confusing. Students are even encouraged to write in the margins. Study questions and exercises come after each chapter. Study questions answers are in the chapter text itself. Exercise solutions are in the Solutions Manual, separate from the textbook.
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Teaching Method
Traditional
Teacher-centered curriculum commonly used in classrooms that may include a text, teacher manual, tests, etc.
Charlotte Mason
A methodology based on the work of a 19th century educator who maintained that children learn best from literature (Living Books), not textbooks.
Classical
A methodology based on the Latin Trivium (three stages of learning), including the grammar stage (memorization and facts), logic stage (critical thinking), and rhetoric stage (developing/defending ideas).
Unit Study
A thematic or topical approach centered around one topic that integrates multiple subject areas.
Montessori (Discovery)
A methodology based on the work of a 20th century educator that emphasizes student and sensory-driven discovery learning and real-life applications.
Other
Other methodologies
Religious Content
Secular
Contains content contrary to common Christian beliefs (i.e. evolution).
Neutral
Avoids religious or theoretical topics or presents multiple viewpoints without preference.
Christian/Religious
Faith-based or including instructional religious content.
Learning Modality
Auditory
Learns through listening, talking out loud or reading out loud.
Visual
Learns through seeing, prefers written instructions and visual materials.
Kinesthetic/Tactile (Hands-On)
Learns through moving, doing and touching.
Multi-Sensory
Curriculum that employ a variety of activities/components.
Presentation
Sequential
Curriculum progresses through well-defined learning objectives. Emphasizes mastery before moving to the next topic.
Spiral
Topics and concepts are repeated from level to level, adding more depth at each pass and connecting with review.
Conceptual/Topical
Focus is on the “why,” often with a unifying concept as well as specific skills; coverage may be broader.
Teacher Involvement
Low Teacher Involvement
Student-led materials; parent acts as a facilitator.
Medium Teacher Involvement
A mix of teacher-led time and independent student work.
High Teacher Involvement
Teacher-led lessons; may utilize discussions, hands-on activities and working together.
Additional Materials Required
No other materials needed
Everything you need is included.
Other Materials Required
There are additional required resources that are a separate purchase.
Other Materials Optional
There are additional resources mentioned or recommended but are not absolutely necessary.
Consumable
Consumable
Designed to be written in; not reusable.
Non-Consumable
Not designed to be written in; reusable.