Algebra I, Geometry, Algebra II with Trigonometry, Calculus Courses (Ask Dr. Callahan)

Textbooks were selected specifically for including 'many real world, practical examples and applications,' suggesting systematic attention to word problems and applications.

Textbooks were chosen with 'inclusion of many real world, practical examples and applications' as a key criterion

Strong emphasis on direct, explicit instruction through video lessons that parallel textbook content. Both instructors use clear explanations and modeling at whiteboards in an unscripted, professorial style.

Videos feature 'direct instruction' with 'detailed and thorough' explanations, described as having a 'professorial approach' with 'unscripted and casual' delivery

Uses a mastery-based approach with a no-errors grading standard requiring students to rework problems until correct. The curriculum follows textbook progression but selectively covers the most essential topics.

Dr. Callahan sets a standard of no errors where students rework problems until correct, and strategically omits topics not required for prerequisites or ACT/SAT preparation

The curriculum emphasizes mastering mathematical 'tools' and understanding principles over complex problem-solving. Dr. Callahan focuses on foundational concepts while using college-level textbooks that provide rigorous procedural practice.

Dr. Callahan is described as 'more interested in students mastering the tools of mathematics and understanding the principles than in having students solve the most complex and time-consuming problems'

Limited structured retrieval practice beyond textbook problem sets. Tests consist of assigned textbook problems, but no mention of systematic spaced review or cumulative practice.

Tests are 'actually a list of assigned problems from the text itself' with no specific mention of cumulative review or spaced practice systems

Basic assessment through textbook-based tests and the no-errors grading system, but no mention of diagnostic tools to identify specific skill gaps or misconceptions.

Tests consist of textbook problems with a grading system requiring mastery, but no specific diagnostic assessment tools are mentioned

The video lessons provide worked examples on whiteboards, with Dr. Callahan highlighting key concepts and working through problems. However, assignment problems from textbooks are not worked through on the videos.

Each lesson features Dr. Callahan explaining material and working problems at a whiteboard, though 'assignment problems are not worked on the DVDs'

Provides teacher guides, course syllabi, and email support, but limited pedagogical guidance beyond answer keys and grading instructions. Professional development materials are minimal.

Includes 'teacher's guide,' 'course syllabi,' and 'free email support,' but guides appear to focus on 'general instructions, tests, test grade sheets, and solutions' rather than pedagogical training

Limited visual support beyond whiteboard instruction. The geometry course includes construction equipment and some multimedia elements in Cassidy's algebra presentations, but overall visual aids appear minimal.

Videos include 'some illustrations and occasional sound effects' and geometry course includes 'basic geometry construction equipment,' but presentation is mostly 'direct instruction'