Although Machine Learning (ML) is used already in our daily lives, few are familiar with the technology. This poses new challenges for students to understand ML, its potential, and limitations as well as to empower them to become creators of intelligent solutions. To effectively guide the learning of ML, this article proposes a scoring rubric for…

The Periodic Table of Elements is a valuable resource for chemists and all kinds of STEM professionals. However, it can be initially overwhelming and intimidating to some students. This hands-on lesson introduces abstract concepts in the periodic table through a tangible experience with simple toys and household objects. Students collaborate and…

I present my perspective on the design process in this article, arguing for a focus on student learning and "slow design" that stems from knowledge of mathematics and their support system in the learning process. I have a question about the design process academization and task design research direction. Numerous examples from my work at…

Many types of learning require the mapping of information across situations. The proposed organizational framework extends the cognitive study of mappings across problems to include mappings across representations, solutions, and sociocultural contexts. I apply one-to-one, one-to-many, and partial mappings to analyze representative cases that…

Items commonly belong to many categories. Cross-classification is the classification of a single item into more than one category. This research explored 2- to 6-year-old children's use of 2 different category systems for cross-classification: script (e.g., school-time items, birthday party items) and taxonomic (e.g., animals, clothes). The…

This study examined the generality of the logarithmic to linear transition in children's representations of numerical magnitudes and the role of subjective categorization of numbers in the acquisition of more advanced understanding. Experiment 1 (49 girls and 41 boys, ages 5-8 years) suggested parallel transitions from kindergarten to second grade…

Last fall, "Science and Children" invited kindergarten to grade eight teachers to participate in a study investigating students' ideas about plants and plant growth (Barman et al. 2002). Two hundred twenty-seven individuals from 16 states in the United States, one U.S. Territory, and one Canadian Province responded to this invitation and…