Children’s ability to understand mathematics takes a big leap forward in the preschool years. Their strengthening ability to represent using manipulatives, symbols, and signs opens up many new possibilities. Children also make strides in algebra and patterning. They can sequence events in time by age three. By age four, they can re-create patterns or make their own repeating pattern. During the preschool years, the child’s ability to problem solve takes on a new zeal. Children’s ability to classify objects is more developed; they can sort and organize objects into different categories and tell which pile has more. This chart details the skills that children can exhibit at different ages.
This is a survey sponsored by the U.S. Department of Education, with a stated goal of being used by educators and by federal and state policy makers to address important issues facing the nation's schools: educational standards, high school course-taking patterns, dropping out of school, the education of the disadvantaged, the needs of language minority students, and the features of effective schools. We are including this link as an item of interest, to demonstrate what directions institutional survey writers are taking in their approach to homeschooling. In our opinion, it is a completely inadequate attempt to measure homeschooling demographics or success, focusing heavily on cultural notions of "socialization" and structured educational models. It is also invasive in terms of the amount of personal information required.
Your family is simple – mom, dad, child. Homeschooling an only child has to be simple, right? You can get through all of the daily assignments without having to worry about teaching the other siblings, or bouncing a baby in your lap. This isn’t quite the case. Instead, homeschoolers of an only child face their own unique challenges.