K. Lee

Michigan State University

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Lorraine M. Males

University of Nebraska–Lincoln

Joyce Hwee Ling Koh

University of Otago

John P. Smith

General Atomics (United States)

Leslie Dietiker

Wheelock College

Ching Sing Chai

Chinese University of Hong Kong

Arvind Atreya

Rice University

Richard H. Chant

University of North Florida

A.L. Lock

Michigan State University

L.C. Worden

Michigan State University

Cal J. Flegal

Michigan State University

Cooperative Institutions

Michigan State University

Michigan United

University of Nebraska–Lincoln

Nanyang Technological University

National Institute of Education

University of North Florida

University of North Carolina at Greensboro

Animal Science Research Institute

Cornell University

National Yang Ming Chiao Tung University

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On sampled-data optimization in distributed parameter systems

IEEE Transactions on Automatic Control (1972)

K. Lee Robert O. Barr

A system of parabolic partial differential equations is transformed into ordinary differential equations in a Hilbert space, where the system operator is the infinitesimal generator of a semigroup of operators. A sampled-data problem is then formulated and converted into an equivalent discrete-time problem. The existence and uniqueness of an optimal sampled-data control is proved. The optimal control is given by a linear sampled-states feedback law where the feedback operator is shown to be the bounded seff-adjoint positive semidefinite solution of a Riccati operator difference equation.

Distributed parameter system

Operator (biology)

Algebraic Riccati equation

Linear map

10.1109/tac.1972.1100156

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Citations (5)

Students’ proof schemes for mathematical proving and disproving of propositions

The Journal of Mathematical Behavior (2015)

K. Lee

Counterexample

Proof complexity

Computer-assisted proof

Mathematical logic

Structural proof theory

Formal proof

10.1016/j.jmathb.2015.11.005

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Citations (45)

What is different across an ocean? How Singapore and US elementary mathematics curricula introduce and develop length measurement

ZDM (2011)

K. Lee John P. Smith

Curriculum-based measurement

10.1007/s11858-011-0339-0

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Citations (8)

Unpacking the Common Core State Standards for Mathematics: The Case of Length, Area and Volume.

Proceedings of the ... PME Conference (2012)

K. Lee Kenny Nguyen Jere Confrey

Unpacking

Common core

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Students' perceptions of self‐directed learning and collaborative learning with and without technology

Journal of Computer Assisted Learning (2014)

K. Lee Pei‐Shan Tsai Ching Sing Chai Joyce Hwee Ling Koh

Abstract This study explored students' perceptions of self‐directed learning (SDL) and collaborative learning (CL) with/without technology in an information and communications technology‐supported classroom environment. The factors include SDL , CL , SDL supported by technology, and CL supported by technology. Based on the literature review, this study hypothesized that students' perceptions of learning without technology positively predict their perceptions of learning supported by technology. An instrument was developed and two studies, a pilot study and a main study, were undertaken. The pilot study surveyed 219 secondary school students and established the factors through exploratory factor analysis with good validity and reliability. The main study surveyed 500 secondary school students to confirm the factors and to establish the relationships between these factors through structural equation modeling. The results validated the four‐factor structure model and revealed that students who reportedly engaged in SDL and CL in face‐to‐face contexts also engaged in these forms of learning in technology‐supported contexts. The findings indicate that students' learning without technology support is related to their use of technology for learning. It may be advisable for teachers to develop students' learning processes in the face‐to‐face context without technology before engaging them in technology‐supported learning.

Exploratory factor analysis

Exploratory research

Blended Learning

10.1111/jcal.12055

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Citations (143)

The Dependence of the Effective Young’s Modulus of Glass/Epoxy and Glass/Glue Laminates on Adhesion Area and Glue Bond Thickness.

K. Lee Eldon D. Case

GLUE

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Do We Do Dewey? Using a Dispositional Framework to Examine Reflection Within Internship Professional Development Plans

The Teacher Educator (2017)

Brian P. Zoellner Richard H. Chant K. Lee

Our revised secondary teacher education professional development plan (PDP) project required preservice teachers to identify their teaching beliefs, use these beliefs to analyze practice, and create an action plan centered on a research question from this analysis. We predicted these plans would show evidence of Dewey's (1964 Dewey, J. (1964). John Dewey on education: Selected writings. R. D. Archambault (Ed.). Chicago: University of Chicago Press. [Google Scholar]) reflective dispositions (open-mindedness, whole-heartedness, responsibility). We had two research questions to examine this assertion: 1) To what degree did our pre-service teachers' PDPs show evidence of Dewey's dispositions toward reflective practice? 2) What were the trends for each of these dispositions? Overall, the PDPs showed evidence of all reflective dispositions; however, the dispositions were unevenly represented. From this study, we recommend a more longitudinal and personalized approach to the PDP to make it more integral to the development of preservice teachers.

Assertion

Reflective Practice

Reflection

10.1080/08878730.2017.1316623

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Citations (5)

Prediction of fatty acid composition using milk spectral data and its associations with various mid-infrared spectral regions in Michigan Holsteins

Journal of Dairy Science (2021)

G. Rovere G. de los Campos A.L. Lock L.C. Worden Ana I. Vázquez

Degree of unsaturation

10.3168/jds.2021-20267

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Citations (14)

Curricular Treatments of Length Measurement in the United States: Do They Address Known Learning Challenges?

Cognition and Instruction (2013)

John P. Smith Lorraine M. Males Leslie Dietiker K. Lee Aaron Mosier

Extensive research has shown that elementary students struggle to learn the basic principles of length measurement. However, where patterns of errors have been documented, the origins of students' difficulties have not been identified. This study investigated the hypothesis that written elementary mathematics curricula contribute to the problem of learning length measurement. We analyzed all instances of length measurement in three mathematics curricula (grades K–3) and found a shared focus on procedures. Attention to conceptual principles was limited overall and particularly for central ideas; conceptual principles were often presented after students were asked to use procedures that depended on them; and students often did not have direct access to conceptual principles. We also report five groupings of procedures that appeared sequentially in all three curricula, the conceptual principles that underlie those procedures, and the conventional knowledge that receives substantial attention by grade 3.

10.1080/07370008.2013.828728

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Citations (41)

Factors Affecting Liver Fat Accumulation and Liver Hemorrhages Associated with Fatty Liver-Hemorrhagic Syndrome in Laying Chickens ,

Poultry Science (1975)

K. Lee Cal J. Flegal J.H. Wolford

A series of four experiments was conducted with a commercial strain of laying chickens in an attempt to experimentally produce Fatty Liver-Hemorrhagic Syndrome (FLHS). Different dietary energy sources, environmental temperatures and feeding schedules were the experimental variables. Increasing the environmental temperature from 12.2° C. (experiment 1) to 27.8° C. (experiment 2) did not drastically alter total liver fat, 2.7 g. (experiment 1) vs. 2.9 g. (experiment 2) or the incidence of FLHS, 0.0 percent (experiment 1) vs. 1.0 percent (experiment 2). Likewise, in experiment 4, changing the environmental temperature from 22.2° C. to 30.6° C. or from 30.6° C. to 22.2° C. did not significantly (P > .05) alter total liver fat or liver wet weight. The greatest incidence (50%) of FLHS occurred in birds which were restricted in feed intake and exposed to an environmental temperature of 30.6° C. from 32–36 weeks of age followed by ad libitum feeding at a temperature of 22.2° C. from 36–40 weeks of age. These birds ate 26.8 percent more feed than the control birds during the ad libitum feeding period. Restricted feed schedules (experiment 3) resulted in significantly (P < .05) lower 40 week liver wet weights and total fat when applied during the growing (14–20 weeks of age) and early lay (20–28 weeks of age) periods.

10.3382/ps.0540374

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Citations (18)