This CAREER project explores interrelated research questions: (1) What understandings of variability can provide conceptual support for the scheme of ideas that underlie statistical inference--making claims about a population on the basis of samples? (2) What conceptions about variability do students bring to study of data analysis and statistical reasoning in middle grades? (3) How can instruction support students in coming to develop understanding and skill in reasoning about variability?

# Projects

04/01/2010 |

07/01/2014 This project is studying and supporting the development of conceptual understanding of fractions by students with learning disabilities (LD). Rather than focusing on whether students can or cannot develop conceptual understanding, the project is focused on uncovering the complex understanding students DO have. |

07/01/2017 This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic functions and examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions. This award will contribute to the field of mathematics education by expanding the application of knowledge transfer, moving it from only a forward focused direction to include, also, a backward focused direction. |

08/01/2013 The proposed project initiates new research and an integrated education plan to address specific problems in middle school mathematics classrooms by investigating (1) how to effectively differentiate instruction for middle school students at different reasoning levels; and (2) how to foster middle school students' algebraic reasoning and rational number knowledge in mutually supportive ways. |

07/01/2016 This project will investigate teachers' knowledge of noticing students' science thinking. The project will examine teacher noticing in practice, use empirical evidence to model the teacher knowledge involved, and design teacher learning materials informed by the model. The outcomes of this project will be a model of teachers' knowledge of noticing Appalachian students' thinking in science and the design of web-based interactive instructional materials supporting teachers' knowledge construction around noticing Appalachian students' thinking in science. |

06/01/2012 The project will examine how teachers reason about variation subsequent to focused instruction and contribute knowledge to in-service middle and secondary mathematics teacher education by targeting characteristics of professional development that might support teachers' reasoning about variation in increasingly sophisticated ways. The project will produce a coherent collection of shareable instructional materials for use in introductory statistics education and teacher education in statistics. |

08/15/2008 This project conducts a systematic and empirical (both quantitative and qualitative) longitudinal study of the factors that influence students' decisions at critical junctures in the educational pipeline. The goals are too (a) broaden participation in science, technology, engineering, and math (STEM) fields and (b) improve the recruitment, retention, and success of minority undergraduate men in STEM and STEM-related fields across colleges and universities in the United States. |

07/15/2014 This program of research will examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research question: What conceptions of mathematical reasoning and proving do middle school preservice teachers hold in situations that foster reasoning about change, proportionality, and proportional relationships, as they enter their mathematics course sequence in their teacher preparation program, and how do these conceptions evolve throughout the program? |

07/01/2009 This project focuses on how children learn to reason about three aspects of complex causality; probabilistic causation; action at a distance; and distributed causality;and how to best support the development of this reasoning in classrooms. Through microgenetic study across the school year with small numbers of students in grades K-6, the study will characterize children's reasoning at different ages and how it shifts over time and with different learning supports. |

03/01/2013 The main goal of this mathematics education research project is to determine through experimentation specific teaching strategies that can be used to support middle school students in drawing connections between mathematical representations (fractions and ratios). The potential instructional strategies were identified from the Third International Mathematics and Science Study (TIMSS) video analyses study as the ones that best distinguished high performing countries from low performing countries. |

07/01/2012 Research has shown that engaging students, including students from underrepresented groups, in appropriately structured reasoning activities, including argumentation, may lead to enhanced learning. This project will provide information about how teachers learn to support collective argumentation and will allow for the development of professional development materials for prospective and practicing teachers that will enhance their support for productive collective argumentation. |

05/15/2014 Most students learn about negative numbers long after they have learned about positive numbers, and they have little time or opportunity to build on their prior understanding by contrasting the two concepts. The purpose of this CAREER project is to identify language factors and instructional sequences that contribute to improving elementary students' understanding of addition and subtraction problems involving negative integers. |

06/01/2016 This project will investigate the potential benefits of interactive, dynamic visualization technologies in supporting science learning for middle school students, including ELLs. This project will identify design principles for developing such technology, develop additional ways to support student learning, and provide guidelines for professional development that can assist teachers in better serving linguistically diverse students. The project has the potential to transform traditional science instruction for all students, and to broaden their participation in science. |

07/15/2011 This study is investigating the classroom factors and teacher characteristics that contribute to Latino English Language Learners' (ELL) gains in mathematics learning in the eighth grade. In addition to looking for key characteristics that influence mathematics learning, the researchers are measuring teachers' knowledge of mathematics for teaching, quality of instruction, and knowledge about English learners. |

08/01/2018 The purpose of this project is to examine the process by which math language instruction improves learning of mathematics skills in order to design and translate the most effective interventions into practical classroom instruction. |

09/01/2016 This project will develop a comprehensive framework to inform and guide the analytic design of teacher professional development studies in mathematics. An essential goal of the research is to advance a science of teaching and learning in ways that traverse both research and education. |

04/15/2011 This project investigates the outcomes of a teacher education model designed to foster prospective mathematics teachers' abilities to notice and capitalize on important mathematical moments in instruction. The project engages prospective teachers in research-like analysis of unedited teacher-perspective classroom video early in their teacher education coursework in order to help them learn to identify, assess the mathematical potential of, and respond to important student ideas and insights that arise during instruction. |

05/15/2013 This project will develop and study a professional development framework that is designed to help high school geometry teachers attend more carefully to student prior knowledge, interpret the learning implications of student prior knowledge, and adjust teaching practices accordingly. Participating teachers will participate in study groups that analyze animations of productive teaching practices; they will collaborate in planning, implementing, and analyzing geometry lessons; and they will critique videos of their own classroom instruction. |

07/15/2015 This project will develop an intervention to support the teaching and learning of proof in the context of geometry. This study takes as its premise that if we introduce proof, by first teaching students particular sub-goals of proof, such as how to draw a conclusion from a given statement and a definition, then students will be more successful with constructing proofs on their own. |

05/15/2013 The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners. |

07/01/2013 The development of six curricular projects that integrate mathematics based on the Common Core Mathematics Standards with science concepts from the Next Generation Science Standards combined with an engineering design pedagogy is the focus of this CAREER project. |

07/15/2012 The project at Spelman College includes activities that develop computational thinking and encourage middle school, African-American girls to consider careers in computer science. Over a three-year period, the girls attend summer camp sessions of two weeks where they learn to design interactive games. Experts in Computational Algorithmic Thinking as well as undergraduate, computer science majors at Spelman College guide the middle-school students in their design of games and exploration of related STEM careers. |

06/01/2018 The goal of this study is to improve elementary science teaching and learning by developing, testing, and refining a framework and set of tools for strategically incorporating forms of uncertainty central to scientists' sense-making into students' empirical learning. |

08/15/2010 Doing science requires that students learn to create evidence-based arguments (EBAs), defined as claims connected to supporting evidence via premises. In this CAREER project, I investigate how argumentation ability can be enhanced among middle school students. The project entails theoretical work, instructional design, and empirical work, and involves 3 middle schools in northern Utah and southern Idaho. |

03/15/2010 The aim of this project is to explore the hypothesis that a curricular focus on quantitative reasoning in middle grades mathematics can enhance development of student skill and understanding about mathematical proof. The project is addressing that hypothesis through a series of studies that include small group teaching experiments with students, professional development work with teachers, and classroom field tests of curricular units that connect quantitative reasoning and proof in algebra. |