In the U.S. public school system, math is not taught intensely until the first grade. For gifted children who may have an aptitude for math at an earlier age, mathwire.com provides a host of math problems of many different varieties to help expand a child's horizons. Math problems are organized by type and by age group. After passing through a certain level, parents and teachers have access to math suited for older age groups, so the child does not have to wait to receive this knowledge.
An individualized approach to education helps each child learn at their level and scale. Waterford Early Learning (waterfordearlylearning.org) embodies this technique, with a series of online and computer exercises that will teach children to think critically, whatever their competency level. Waterford has exercises in science, reading and math. The programs are available for school systems and classrooms and cost is provided upon order.
Robert Fisher provides parents and educators valuable information about how to instill critical thinking skills in kindergarteners. On his site, teachingthinking.net, Fisher said that higher thinking, or metacognition, should encourage children to think about "how, what or why" they feel certain things about what they are learning. A simple step to begin, he said, is to ask children what they're thinking and why, at various points in the day.
Good Morning Children (goodmorningchildren.com), based in the United Kingdom, provides "white board" resources for teachers to use in the classroom, beginning in kindergarten. The resources are designed to foster creative thinking skills, pushing young minds in new and exciting directions. The service is provided as a membership that is based on location and age level.