Measure the Volume of a Tree: A Transformative Modeling Lesson on Measurement for Prospective Middle-school Science Teachers

Measurement is an essential skill that students need to develop in both mathematics and science classes. However, many students only develop very superficial understanding regarding the nature of measurement. Building upon modeling-based work, we construct a framework that views measurement as a complex set of knowledge and skills one can use to transform a model and/or a referent and their variations and bring them together in a coherent way. We use this framework to guide the design and implementation of a unit on measuring the volume of a tree with two cohorts of prospective teachers of middle grades. With selected examples, we illustrate our framework in terms of the relationship between modeling and measurement. We provide insights on how to design activities that enhance students’ in-depth understanding of measurement.     

Developing sociopolitical consciousness at Freedom Schools: implications for culturally responsive teacher preparation

This article describes the programmatic ways in which the Children’s Defense Fund Freedom Schools® program develops culturally responsive teaching practices?amongst its summer interns, particularly in the area of developing sociopolitical consciousness.?This paper places specific focus on the role that historical knowledge, the acknowledgement of a ‘we’ discourse and instilling a lifelong commitment to service plays in cultivating teacher sociopolitical consciousness. The research reported here aims to serve as a case for lessons to be learned by traditional, university-based teacher education programs committed to preparing teachers to teach in culturally responsive ways.     

Nouns Mark Category Relations: Toddlers'' and Preschoolers'' Word-Learning Biases

Recent research suggests that preschool children approach the task of word learning equipped with implicit biases that lead them to prefer some possible meanings over others. The noun-category bias proposes that children favor category relations when interpreting the meaning of novel nouns. In the series of experiments reported here, we develop a stringent test of the noun-category bias and reveal that it is present in children as young as 2 years of age. In each experiment, children participated in a 5-item match-to-sample task. Children were presented with a target item (e.g., a cow) and 4 choices, 2 of which belonged to the same superordinate category as the target (e.g., a fox and a zebra) and 2 of which were thematically related to the target (e.g., milk and a barn). In Experiment 1 we demonstrate that novel nouns prompt preschool children to attend to superordinate-level category relations, even in the presence of multiple thematic alternatives. In Experiment 2, we ascertain that the bias is specific to nouns; novel adjectives do not highlight superordinate category relations. In Experiment 3, we demonstrate the noun-category bias in 2-year-olds. The nature and utility of the noun-category bias are discussed.     

Progress to conservation: Conflict or correct answer?

One of the fundamental problems in socio-cognitive conflict theory concerns what it is that leads to cognitive growth. Is it conflict per se, i.e. the fact that two contradictory opinions are brought together, or is it the presence of the correct answer which is essential for growth. In this experiment, dyads, functioning on the same cognitive level, were formed and asked to solve a conservation-of-length task. The classification of the children in the pre-test was not done according to Piagetian norms, but according to Flavell’s appearance-reality (AR) model: AR non-conservers (AR-NC), AR intermediates (AR-I) and AR conservers (AR-C). Many children who would have been scored as non-conservers in a standard Piagetian task, showed an underlying conservation competence and were classified as AR-I. The results of the interaction suggest that conflict does not lead to appropriate change in AR-NC dyads or AR-I dyads. Furthermore, the results suggest that the most effective method for AR-I to become conservers, is to make them think about a problem and then, to create consensus by confronting the children with others who have also reached the correct solution.