Many schools are facing some major education issues, including the classical vs. new math debate. Here's a primer:
Traditional Math in K12 Grades:
- Promotes instruction that is direct, follows a logical order, and requires students to master specific mathematics skills before learning others.
- More likely to use "paper and pencil" lessons.
- Starts with a foundation of practice and memorization; moves to abstract thinking and complex problem solving.
- Stresses individual achievement -- group activity can hold some advanced students back, and mask the failure of struggling students.
- Easier for new or inexperienced teachers to teach successfully.
New Math in K12 Grades:
- Often described as constructivist, meaning students "construct" knowledge as they explore and discover concepts for themselves. This kind of learning helps build a "math sense" that carries students further than lectures and memorization.
- Uses more "hands-on" learning (blocks and other manipulatives), observation and discovery, writing about mathematics and solving problems generated by students.
- Focuses on real-world problem solving, even at young ages.
- Uses a lot of group or "cooperative" learning. Supporters believe this helps students work together to solve problems, and helps struggling students achieve more.
- Requires more knowledge and skills from teachers.