Horizons Math

Name: Horizons Math
Brand: Alpha Omega Publications

by Alpha Omega Publications

MathGrades K–6

About This Curriculum

<cite index="7-1,15-1,32-2">Horizons Math from Alpha Omega Publications lays a solid foundation for numerical literacy with an early emphasis on hands-on concept learning</cite>. <cite index="11-5,31-2">It is a spiral-method homeschool math curriculum that helps students master concepts through introduction, review, and reinforcement that guides students through progressively difficult concepts</cite>.

What makes it unique: <cite index="6-37,6-38">Horizons is known as a curriculum for children who are 'gifted' or 'accelerated' in math and tends to run almost one full grade level ahead of other math curricula</cite>.

Horizons Math: Spiral-Based Traditional Program with Hands-On Learning

Horizons Math is a traditional spiral curriculum from Alpha Omega Publications designed for grades K-6, emphasizing hands-on manipulatives and continuous review. The program features teacher-led instruction with two colorful workbooks per grade level and extensive use of concrete materials to build mathematical understanding.

Best for

Homeschool families seeking a traditional, teacher-led math curriculum with strong hands-on components, particularly suited for students who benefit from spiral review and multi-sensory instruction in grades K-6

Evaluation Criteria

6 strengths · 2 neutral · 1 insufficient evidence

Teacher TrainingStrength

Provides comprehensive teacher support through detailed handbooks with educational philosophy, scope and sequence explanations, and lesson-by-lesson guidance.

Teacher handbooks include educational philosophy explanations, readiness evaluations, materials lists, and 'teaching tips' with detailed daily lesson plans

Direct InstructionStrength

Curriculum strongly supports direct, teacher-led instruction with detailed lesson plans and clear guidance for one-on-one teaching.

Teacher handbook 'outlines every step of each lesson' and provides 'numbered and spaced' activity instructions, with reviewers emphasizing the importance of using the teacher guide rather than just workbooks

Retrieval PracticeStrength

Incorporates systematic review and reinforcement through spiral approach, with regular testing every 10 lessons for formative assessment.

Reviews mention tests after every 10 lessons and continuous review built into the spiral structure, with concepts 'brought back for two months' after initial teaching

Sequencing ApproachStrength

Uses a strong spiral approach where concepts are introduced, continuously reviewed for months, and gradually increased in complexity across grade levels.

Multiple reviews describe how concepts are taught then reviewed for 3-5 lessons and brought back for two months, with one reviewer noting 'concepts are constantly reviewed and not forgotten'

Visual RepresentationsStrength

Strong emphasis on visual and concrete representations through extensive manipulative use and colorful, well-designed workbooks.

Reviews highlight use of place value materials, flannel boards, hundreds charts, clocks, and Base Ten Blocks, plus 'colorful workbook illustrations' that significantly engage children

Conceptual Procedural BalanceStrength

The curriculum balances hands-on concept development with procedural practice effectively through manipulative-based lessons that build understanding before moving to abstract procedures.

Reviews consistently mention extensive use of manipulatives (dominoes, counters, Base Ten Blocks, abacus) and hands-on activities that help children grasp concepts before practicing procedures, with visual aids supporting young learners

Word ProblemsNeutral

Word problems are included throughout the curriculum with some real-world applications, though systematic problem-solving instruction is not clearly evident.

Reviews mention word problems in lessons and consumer math topics like 'check writing, banking, budgeting' in upper grades, but no mention of explicit problem-solving schema instruction

Assessment DiagnosticNeutral

Includes readiness evaluations for grade placement and regular testing, though comprehensive diagnostic assessment capabilities are limited.

Reviews mention readiness evaluations at the beginning of each level and tests every 10 lessons, plus quarterly tests and finals in grades 4-6

Worked ExamplesInsufficient Evidence

Limited evidence of systematic worked examples, though teacher demonstrations and step-by-step instruction are provided through the teacher handbook.

Reviews mention teacher handbook provides detailed instruction and demonstrations, but no specific mention of worked example methodology for student reference

Sources: cathyduffyreviews.com, teachbesideme.com