Math Without Borders Home Study Companions

MathGrades 8–12

About This Curriculum

Video-based high school math courses that pair classic textbooks (primarily Foerster series) with comprehensive instruction by experienced teacher David Chandler.

What makes it unique: Makes rigorous college-prep math textbooks accessible for homeschoolers through detailed video instruction and worked problem solutions

Math Without Borders: Rigorous Video-Based High School Math

Math Without Borders Home Study Companions is a video-based high school math curriculum featuring experienced teacher David Chandler presenting lessons that accompany challenging Foerster textbooks. The program covers Algebra 1 through Calculus using direct instruction videos paired with rigorous college-prep texts.

Best for

Motivated high school students (grades 8-12) seeking rigorous college-prep math instruction, particularly those who learn well from video-based direct instruction and can work with challenging textbook material.

Evaluation Criteria

6 strengths · 3 neutral

Word ProblemsStrength

The curriculum emphasizes real-world applications and problem-solving, particularly through Foerster's texts which are noted for their applied approach.

One reviewer notes 'none of them is in the same league with Foerster when it comes to teaching problem solving and real-world applications' and the Geometry course introduces 'all of the content in the context of a problem where it is immediately useful.'

Worked ExamplesStrength

The program extensively uses worked examples through Chandler's video demonstrations. Students can observe step-by-step problem solving before attempting independent work.

Reviews state that Chandler 'works through examples slowly so students can follow along' and provides 'video solutions for about half of the problems (the recommended assignment) worked out on video.'

Direct InstructionStrength

The curriculum is built around direct instruction with experienced teacher David Chandler providing explicit explanations and demonstrations. The format supports teacher-led learning through video.

The program features 'presentations of an experienced teacher' where Chandler 'talks students through each of the key concepts' and 'teaches math calmly and clearly' with his '35+ years of teaching experience.'

Sequencing ApproachStrength

The curriculum follows a mastery-based approach aligned with the Foerster textbook sequence. Each concept is taught thoroughly before moving to the next topic.

Chandler 'talks students through each of the key concepts in each section of the textbook' and 'works through a fair number of examples before he leaves students to work through problems on their own.'

Visual RepresentationsStrength

The curriculum incorporates visual tools through technology integration including GeoGebra, graphing calculators, and whiteboard demonstrations. The Geometry course particularly emphasizes visual constructions.

Chandler 'uses a whiteboard to teach the concepts,' 'pulls up an online calculator and other tools such as Geogebra,' and the Geometry course includes 'demonstrations using GeoGebra' with students creating 'their own geometric constructions.'

Conceptual Procedural BalanceStrength

The curriculum emphasizes both conceptual understanding and procedural skills through Foerster's rigorous texts and Chandler's explanatory videos. The program includes real-world applications while building strong foundational skills.

Reviews note that Foerster brings 'intimate knowledge of mathematics as a real-world problem-solving tool' and the program includes 'real-world applications' while providing 'solid mathematical foundation preparation.'

Teacher TrainingNeutral

The curriculum provides detailed teacher guidance through Chandler's notes and explanations but lacks formal teacher training materials for parents.

Reviews mention that 'Chandler's notes for each course' provide 'detailed information about scheduling and course content' and he explains how to use various tools, but no formal teacher training is described.

Retrieval PracticeNeutral

The curriculum includes some retrieval practice through chapter reviews and self-tests in the textbooks, but limited evidence of systematic spaced review.

Reviews mention 'chapter reviews and/or chapter tests within the textbooks can be used for assessment' and 'self-quiz, a review section and a review self-test' in the Geometry course.

Assessment DiagnosticNeutral

The curriculum includes chapter assessments and self-tests but lacks comprehensive diagnostic tools to identify specific skill gaps.

The program includes 'chapter reviews and/or chapter tests within the textbooks' and 'self-quiz' sections, but reviews don't mention diagnostic assessments for identifying learning gaps.

Review Sources

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How to Homeschool

cathyduffy

Cathy Duffy

Key Facts
GradesGrades 8–12
SubjectMath
PedagogyTraditional
Faith-BasedNo
FormatDigital
Pricing$129 per course for Home Study Companions (textbooks must be purchased separately, typically $60-70 new)

Looking for something different?

If none of these options feel right, explore a non-traditional approach. Pallas Center offers a unique curriculum, or design your own with Palladay.

Data sources: cathyduffy, homeschoolcom