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In mathematics education, the term "manipulative" refers to physical or visual tools used to help students understand mathematical concepts through hands-on experience. Manipulatives can take various forms, including objects, blocks, shapes, or digital tools. The purpose of manipulatives is to make abstract mathematical ideas more concrete and accessible, allowing students to explore, represent, and understand these concepts in a tangible way.

C. West Churchman (1913-2004) was an influential American philosopher, systems scientist, and management theorist known for his contributions to the fields of operations research, systems theory, and decision-making. He played a significant role in the development of the concept of "systems thinking" and was a pioneer in the application of these ideas in management and organizational theory.

Evert Willem Beth (1908–1969) was a Dutch logician and philosopher, known for his contributions to the fields of mathematical logic, philosophy of science, and the foundations of mathematics. He is particularly recognized for his work on formal logic and his efforts to clarify the relationship between mathematics and logic. Beth was instrumental in promoting the understanding of logical systems and contributed to discussions surrounding the philosophy of language and the nature of mathematical reasoning.

Gerald Sacks is an American mathematician known for his contributions to the field of mathematical logic, particularly in the areas of recursion theory and model theory. He has worked on topics such as the structure of certain mathematical models and the relationships between different levels of mathematical infinities. Sacks is also known for the Sacks forcing technique, which is a method used in set theory to construct models with certain desirable properties. His work is significant in understanding the foundations of mathematics and the nature of mathematical truth.

RAPID-L (Rapid Assessment of Physical Impairments in Dialysis) is a tool or framework designed for the assessment of physical impairments in patients undergoing dialysis. It emphasizes the importance of evaluating physical health, as patients on dialysis often face various physical challenges due to their condition and treatment regime. The tool aims to provide a systematic approach for clinicians to identify functional limitations and assess the overall physical health of these patients, which can inform treatment plans and improve patient outcomes.

John Reppy is a notable figure in the field of computer science, particularly known for his work on programming languages and systems. He has contributed to various aspects of computer science, including programming language design and implementation, with a focus on functional programming and language semantics.

Vinay Gupta is an Indian-American technologist and entrepreneur known for his work in the fields of blockchain technology and decentralized systems. He is the founder of Hexayurt Capital, a consulting firm focused on the application of blockchain for social and environmental impact. Gupta is also known for his contributions to the Ethereum project and has been involved in various initiatives related to the development of decentralized technologies.

The American Computer & Robotics Museum is a museum located in Bozeman, Montana, dedicated to the history and development of computers, robotics, and related technology. It features a wide array of exhibits that illustrate the evolution of computing technology from early mechanical devices to modern computers and robotic systems. The museum showcases significant artifacts, historical documents, photographs, and interactive displays that highlight key milestones in the fields of computing and robotics.

Gisbert Hasenjaeger is a notable figure known for his contributions in the field of finance or possibly as an entrepreneur or leader in a specific industry, although detailed information about his accomplishments or background may not be widely available or documented.

Greg Hjorth is a noted mathematician primarily known for his contributions to the field of logic and set theory, particularly in areas related to the foundations of mathematics, model theory, and descriptive set theory. He has published numerous research papers and articles addressing complex topics within these domains.

Grigore Moisil was a prominent Romanian mathematician and logician, known for his contributions to the fields of mathematical logic, algebra, and computer science. Born on January 10, 1906, in the town of Măcin, Moisil was a significant figure in the development of modern mathematics and computing in Romania. He is particularly recognized for his work in mathematical logic and for pioneering contributions to the study of algebraic structures.

Grigori Mints is a mathematician known for his work in logic, mathematical foundations, and computer science. He has made significant contributions in areas such as proof theory, computational complexity, and the foundations of mathematics. He is particularly recognized for his development of various logical systems and his work on formal proofs. Mints has authored several publications in these fields and has been involved in research that explores the connections between logic and computer science.

Heinrich Scholz (1884–1956) was a notable German philosopher and logician, particularly recognized for his contributions to the fields of mathematical logic and the philosophy of mathematics. Scholz played a significant role in the development of formal systems and was involved in discussions surrounding proof theory and the foundations of mathematics. He is often associated with the work of the Göttingen School of Mathematics and the Hilbert program, which aimed to establish a solid foundation for all of mathematics.

The New Zealand Nuclear Free Zone, Disarmament, and Arms Control Act 1987 is a significant piece of legislation establishing New Zealand as a nuclear-free country. The Act reflects New Zealand's commitment to nuclear disarmament and non-proliferation, and it mandates several key principles and prohibitions related to nuclear weapons and nuclear-powered vessels.

SAFARI-1 (Suborbital Flight, Atmospheric Research, and Instrumentation) is a mission that involves suborbital flights designed primarily for atmospheric research and technology demonstration. It is part of a broader movement to utilize suborbital flights for scientific research, including studies of the stratosphere, atmospheric chemistry, and the development of advanced instrumentation.

The "Hierarchy of Functions" is a concept in computer science and mathematics, particularly in the context of complexity theory and computational theory. It refers to the classification of functions based on their growth rates, levels of computability, or decision-making processes in algorithms. Although there may be various interpretations, it is most commonly associated with the following areas: 1. **Time Complexity Hierarchy**: Functions can be classified by their growth rates in terms of time complexity within algorithms.

Charles Parsons is an American philosopher, primarily known for his work in the philosophy of mathematics, logic, and the philosophy of language. He has made significant contributions to various areas within these fields, including the development of theories related to meaning, truth, and reference. His work often engages with topics such as set theory, the foundations of mathematics, and the philosophical implications of formal systems.

Christine Paulin-Mohring is a notable French mathematician, recognized for her contributions in the field of algebra, particularly in the areas of category theory and type theory. She has been involved in various educational and research initiatives, often focusing on the interplay between mathematics and computer science. Additionally, she is known for her efforts in promoting mathematics education and outreach.

Cristina Sernadas is a notable figure in the field of computer science and artificial intelligence, particularly known for her work in research and academia. She has been involved in areas such as machine learning, natural language processing, and computational models.

Dag Prawitz is a Swedish logician and philosopher known for his contributions to the field of proof theory and constructive mathematics. Born in 1936, Prawitz is particularly recognized for developing the natural deduction system, a framework for formal reasoning that emphasizes the role of logical inference in proofs. His work has significantly impacted the understanding of how formal proofs can be constructed and verified, aligning closely with intuitionistic logic, which is foundational in constructive approaches to mathematics.