Preventing Math Learning Difficulties
Teaching with the Concrete To Master the Abstract
Developing Problem-Solving Skills
Cognitive research has shown that some students at risk for math failure have not developed a sufficient conceptual foundation in number sense and math operations. The hierarchical progression of math concepts requires that students develop a strong mathematical foundation to ensure their future success. The four modules of Symphony Math ® focus on the most fundamental concepts that are essential for understanding algebra, time, money, measurement and statistics. Symphony Math ® fosters learning for students at all levels of the three-tier model.
The Symphony Math ® branching system is designed to adapt to each student’s needs with a appropriate interventions:
- Tier I – Students develop their knowledge of critical mathematical concepts as they progress at grade level.
- Tier 2 – Students gain extra practice and work at their own pace as the program emphasizes fundamental skills.
- Tier 3 – Students work intensively to improve their understanding of targeted concepts to ensure their progress.
Learning with Manipulative
Students use on-screen manipulatives to solve problems. The manipulatives provide a concrete representation of mathematical concepts, because the manipulatives illustrate them in a tangible way. This solidifies the mental model and inspires learning.
Understanding Symbols
The program helps students to understand the meaning of symbols by associating them with manipulatives. Students create number sentences based on the manipulatives and arrange them accordingly. This enables students to correlate the concepts with the abstract notation symbols used to represent them
Mastering Numbers Facts
Immediate recall of number relationships can be achieved when students develop a solid conceptual understanding of their underlying concepts. Addition, subtraction, multiplication and division facts are practiced in timed activities, and students are challenged to solve problems correctly in five seconds or less.
Solving Word Problems
Students solve word problems and apply the same concepts and skills they mastered earlier in the program. The word problems model real-world situations, emphasize the relationships between manilpulatives and symbols and clarify the relationships between them.
Symphony Math ® is an educational software program that is designed to improve problem-solving skills while developing a strong mathematical foundation. Problem solving is one of the most difficult skills for students to learn, and many students try to memorize the curriculum without understanding critical concepts. When challenged with problem solving on standardized tests, these students often struggle.
Symphony Math ® actively challenges students to solve problems while they make connections between principal concepts. They consolidate their knowledge through time-based fluency activities that help them to master immediate recall of math facts. Word problems take learning to the next level by challenging students to apply their skills to real-world situations. The interactive branching system enables students to progress at their own pace and ensures that they master foundational concepts before progressing to more advanced skills
