Math Without Borders Home Study Companions

Description

Pair a well-loved high school math series (Foersters) with video instruction and you have a winning combination. Math Without Borders Home Study Companions provide an element of confidence; the conviction that a challenging high school math course is completely manageable. Why? You have a teacher in your corner. One who calmly and clarifyingly teaches math. Initially programs were on thumb drives, but all have transitioned over to digital downloads. The videos provide electronic whiteboard presentations to accompany the textbook lessons plus worked solutions to selected assigned problems.

The Paul Foerster math courses are considered an excellent choice for college prep math, but were not as readily available. Sometimes, it was even hard to get an answer key. David Chandler and Math Without Borders changes all that. These excellent courses (the geometry uses "Geometry: A Guided Inquiry") provide a quality, college-prep, high school scope and sequence and they are do-able in a homeschool setting even if mom is a mathophobe.

The idea is to read the day's lesson, then watch the video. Use half of the lesson problems as a daily assignment; use the remainder if additional practice is needed. The Math Without Borders videos include explanatory videos plus worked problem solutions for either select problems or the even problems. These solutions can be used to get over a roadblock. Many of the courses include a Resources File which provides spreadsheets and material referred to in the lessons.

Each course includes material on how to set up the course, what texts to use and how to use them, as well as links for obtaining suggested free software downloads. Some courses include printable pdf material.

Although a mentoring approach to assessment is encouraged, Mr. Chandler does provide suggestions for material that can be used as self-tests or assessments. ~ Janice

Algebra I text is Algebra I: Expressions, Equations, and Applications by Paul Foerster (Prentice Hall Classics edition). The odd-numbered problems have answers given at the back of the book (use these for homework). Lessons are useful with older editions of the text.

Geometry text is Geometry: A Guided Inquiry by Chakerian, Crabill, and Stein. (several publishers and different printings but all with identical content). Demonstration files from the lessons require a free program Geogebra - (available as download).

Algebra 2 with Trigonometry text is Algebra and Trigonometry: Functions and Applications by Paul Foerster (Prentice Hall Classics edition). Mr. Chandler notes that trigonometry is rarely taught as a separate course anymore but rather paired with either Algebra 2 or Precalculus. Paul Foerster includes it in both courses. Math Without Borders strongly suggests that taking both courses (don't skip the Precalculus course) is recommended because work leading up to calculus is foundational for later math courses and mathematically based professions. Lessons are useful with older editions of the text.

Precalculus text is Precalculus with Trigonometry: Concepts and Applications, 3rd ed. by Paul Foerster (copyright 2012). Lessons are useful with older editions of the text.

Calculus text is Calculus: Concepts and Applications, 2nd ed. by Paul Foerster (copyright 2005). Lessons are useful with older editions of the text. Non-Calculus Based Physics text is Schaum's Outline of College Physics (12th Ed.)

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.