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Count, Notice, and Remember (CNR) - Guided Discovery to Mastery
Many students do not learn by
processing other people's explanations

The more we explain, the more confused and resistant math intervention students become.

The Count, Notice, & Remember (CNR) approach enables "don't explain it to me" learners to discover basic mathematical relationships for themselves and build an accurate memory of those discoveries. We use a unique system of guided discovery and rapid reconstruction. There are no rote tricks or processes involved.


Math intervention students use graphics, "manipulatives on paper," to create a mental image of the mathematical concept. CNR unifies the development of understanding, memory, and application in ways that can be touched and related to the real world.

Some of the features of the
guided discovery to mastery approach -

  • it engages students' power to notice - not their power to remember what someone else noticed - promoting both thinking skills and self-esteem
  • it addresses computation through problem-solving
  • it gives students immediate feedback on the accuracy of their discoveries and provides them with the means to correct themselves
  • it provides enough practice material for even the least intuitive student, but is organized so that less needy students can use just what they need
  • it clarifies concepts mathematically rather than linguistically (a real help to English language learners)
  • it provides comprehensible input and maintains a low affective filter
  • it uses "manipulatives on paper" which don't condescend to older students, and are very clear to younger ones; manipulatives on paper can be taken home for extended practice
  • it can be integrated be with regular curricular materials


The Materials and Training are having a significant impact on:

  • Mainstream and at-risk students (K-12) who chronically fail math
  • Students who have fallen behind because of extended absences
  • Learners with language difficulties
  • Special education, math intervention, and learning disabled students
  • Adult Basic Education pupils
    Thousands of children in St. Louis, Oklahoma City, Boston, Chicago, Los Angeles, Oakland, and San Francisco have been helped by "Count, Notice, and Remember." Developed first in 1993, this new approach is used to instruct the hard-to-teach in schools throughout the U.S., and in England and South Africa.
    Jeff Simpson, the author of the series, copyrighted his first volume of math materials in 1993. Since then he has written eight other volumes. He has also produced a math training video for teachers. Count, Notice, & Remember has a deep and joyful impact on hard-to-teach, low-achieving students.

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ukiah, ca
800.533.4181
mastery@pacific.net