Dimensions Math (grades PK-5)

Emphasizes problem-solving methodology as a core strength, helping students work through problems systematically.

Multiple reviews highlight the curriculum's focus on 'problem solving and logical skills' and 'problem-solving methodology,' with students learning to 'work through each question step by step.'

Provides comprehensive teacher support through detailed Home Instructor's Guides and optional video training, specifically designed for homeschool parents.

Reviews praise the 'extremely thorough' teacher guides with 'comprehensive background on Singapore math approach' and mention optional video lessons 'taught by Singapore math trainer Beth Curran' available for $85 per year.

Strongly supports direct instruction through comprehensive teacher guides, though requires active parent involvement rather than student independence.

Reviews emphasize that 'lesson presentations begin from the teacher's guides' and that this 'requires active parent involvement' with 'clear guidance in the Home Instructor's Guide' for parent-led instruction.

Uses a mastery-based approach where students thoroughly grasp concepts before advancing, following Singapore Math's proven scope and sequence.

Multiple reviews emphasize that the curriculum ensures students 'thoroughly grasp concepts' and 'prevents gaps in understanding' by learning concepts completely before moving to new material, with an advanced but logical progression.

Extensively uses visual models and manipulatives as core instructional tools, following Singapore Math's concrete-pictorial-abstract methodology.

Reviews describe abundant use of linking cubes, number bonds, pictorial representations, base ten blocks, play money, and other hands-on materials, with lessons specifically designed around manipulative use and visual progression.

The curriculum effectively balances conceptual understanding with procedural fluency, using Singapore's concrete-pictorial-abstract approach to build deep comprehension before developing automaticity.

Reviews consistently note the program's emphasis on understanding concepts thoroughly before moving to new material, with progression from manipulatives to pictorial representations to abstract symbols, and inclusion of mental math activities for fluency development.

Provides clear step-by-step examples through textbook presentations and teacher guidance, though specific worked example formats are not detailed in reviews.

Reviews mention that lessons include 'step-by-step' problem solving and that textbooks provide concept explanations, with teacher guides offering comprehensive instructional support.

Includes some cumulative review through workbook problems addressing previously taught concepts, but systematic retrieval practice is not explicitly detailed.

Reviews mention that workbook problems 'address some previously taught concepts as well as current concepts' and optional cumulative tests are available, but specific retrieval practice strategies are not described.

Includes placement tests and optional formal assessments, though diagnostic capabilities for identifying specific gaps are not detailed.

Reviews mention that 'placement tests are essential' and 'optional test books are available for each course' including 'both chapter and cumulative tests,' but detailed diagnostic features are not described.