The Chicago movement was an educational reform initiative in Illinois during the early 20th century that attempted to create a unified mathematics curriculum in secondary schools. The movement represented one of the earliest systematic attempts to integrate different branches of mathematics in American education. [1]
The Chicago movement emerged in Illinois secondary schools between 1890 and 1930, advocating for an integrated approach to teaching mathematics rather than maintaining traditional divisions between subjects like algebra and geometry. Proponents sought to demonstrate the interconnections between different mathematical topics and their practical applications. [2] [3] The movement reached its peak in Illinois secondary schools during the early 20th century, where it became known specifically as the "Chicago movement" due to its concentration in that area. [1] According to Malaty, the movement faced criticism "because it did not care about the need for continuity of studying each branch, especially geometry, as a structure" and was ultimately considered "just a temporary fashion." [3]
The primary concern of the Chicago movement was its attempt to break down the traditional compartmentalization of mathematical subjects in secondary education. Instead of teaching algebra, geometry, and other mathematical branches as separate disciplines, the movement promoted a more unified curriculum that emphasized the relationships between different mathematical concepts. The movement faced opposition from mathematics educators who argued that it undermined the systematic study of individual mathematical disciplines. Critics were particularly concerned about its impact on geometry education, contending that studying each branch as a coherent structure was essential for proper mathematical understanding. [3]
The Chicago movement was relatively short-lived, with historians describing it as a "temporary fashion" in mathematics education. [2] However, it raised important questions about mathematics curriculum integration that would resurface during the New Math movement of the 1950s and 1960s. The fundamental question it posed—how to balance integrated mathematical understanding with systematic study of individual branches—remains relevant to contemporary discussions of mathematics education reform. [3]
Education in the Netherlands is characterized by division: education is oriented toward the needs and background of the pupil. Education is divided over schools for different age groups, some of which are divided in streams for different educational levels. Schools are furthermore divided in public, special (religious), and general-special (neutral) schools, although there are also a few private schools. The Dutch grading scale runs from 1 to 10 (outstanding).
In contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and carrying out scholarly research into the transfer of mathematical knowledge.
New Mathematics or New Math was a dramatic but temporary change in the way mathematics was taught in American grade schools, and to a lesser extent in European countries and elsewhere, during the 1950s–1970s.
In mathematics, transformation geometry is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of geometric transformations, and properties that are invariant under them. It is opposed to the classical synthetic geometry approach of Euclidean geometry, that focuses on proving theorems.
Founded in 1920, The National Council of Teachers of Mathematics (NCTM) is a professional organization for schoolteachers of mathematics in the United States. One of its goals is to improve the standards of mathematics in education. NCTM holds annual national and regional conferences for teachers and publishes five journals.
Physics First is an educational program in the United States, that teaches a basic physics course in the ninth grade, rather than the biology course which is more standard in public schools. This course relies on the limited math skills that the students have from pre-algebra and algebra I. With these skills students study a broad subset of the introductory physics canon with an emphasis on topics which can be experienced kinesthetically or without deep mathematical reasoning. Furthermore, teaching physics first is better suited for English Language Learners, who would be overwhelmed by the substantial vocabulary requirements of Biology.
Mathematics education in New York in regard to both content and teaching method can vary depending on the type of school a person attends. Private school math education varies between schools whereas New York has statewide public school requirements where standardized tests are used to determine if the teaching method and educator are effective in transmitting content to the students. While an individual private school can choose the content and educational method to use, New York State mandates content and methods statewide. Some public schools have and continue to use established methods, such as Montessori for teaching such required content. New York State has used various foci of content and methods of teaching math including New Math (1960s), 'back to the basics' (1970s), Whole Math (1990s), Integrated Math, and Everyday Mathematics.
The Mathematics Subject Classification (MSC) is an alphanumerical classification scheme that has collaboratively been produced by staff of, and based on the coverage of, the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH. The MSC is used by many mathematics journals, which ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The current version is MSC2020.
Integrative learning is a learning theory describing a movement toward integrated lessons helping students make connections across curricula. This higher education concept is distinct from the elementary and high school "integrated curriculum" movement.
The Regional Science High School Union (RSHS-Union) is a specialized system of public secondary schools in the Philippines, established during the academic year 1994-1995. It is operated and supervised by the Department of Education, with a curriculum heavily focused on math and science. It remains within the ambit of the Department of Education, unlike the specialized science high school system of national scope, the Philippine Science High School.
Core-Plus Mathematics is a high school mathematics program consisting of a four-year series of print and digital student textbooks and supporting materials for teachers, developed by the Core-Plus Mathematics Project (CPMP) at Western Michigan University, with funding from the National Science Foundation. Development of the program started in 1992. The first edition, entitled Contemporary Mathematics in Context: A Unified Approach, was completed in 1995. The third edition, entitled Core-Plus Mathematics: Contemporary Mathematics in Context, was published by McGraw-Hill Education in 2015.
Traditional mathematics was the predominant method of mathematics education in the United States in the early-to-mid 20th century. This contrasts with non-traditional approaches to math education. Traditional mathematics education has been challenged by several reform movements over the last several decades, notably new math, a now largely abandoned and discredited set of alternative methods, and most recently reform or standards-based mathematics based on NCTM standards, which is federally supported and has been widely adopted, but subject to ongoing criticism.
Integrated mathematics is the term used in the United States to describe the style of mathematics education which integrates many topics or strands of mathematics throughout each year of secondary school. Each math course in secondary school covers topics in algebra, geometry, trigonometry and functions. Nearly all countries throughout the world, except the United States, normally follow this type of integrated curriculum.
In the United States, math wars are debates over modern mathematics education, textbooks and curricula that were triggered by the publication in 1989 of the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM) and subsequent development and widespread adoption of a new generation of mathematics curricula inspired by these standards.
Curriculum studies is a concentration in the different types of curriculum and instruction concerned with understanding curricula as an active force influenced by human educational experiences. Its proponents investigate the relationship between curriculum theory and educational practice in addition to the relationship between school programs, the contours of the society, and the culture in which schools are located.
Connected Mathematics is a comprehensive mathematics program intended for U.S. students in grades 6–8. The curriculum design, text materials for students, and supporting resources for teachers were created and have been progressively refined by the Connected Mathematics Project (CMP) at Michigan State University with advice and contributions from many mathematics teachers, curriculum developers, mathematicians, and mathematics education researchers.
Reform mathematics is an approach to mathematics education, particularly in North America. It is based on principles explained in 1989 by the National Council of Teachers of Mathematics (NCTM). The NCTM document Curriculum and Evaluation Standards for School Mathematics (CESSM) set forth a vision for K–12 mathematics education in the United States and Canada. The CESSM recommendations were adopted by many local- and federal-level education agencies during the 1990s. In 2000, the NCTM revised its CESSM with the publication of Principles and Standards for School Mathematics (PSSM). Like those in the first publication, the updated recommendations became the basis for many states' mathematics standards, and the method in textbooks developed by many federally-funded projects. The CESSM de-emphasised manual arithmetic in favor of students developing their own conceptual thinking and problem solving. The PSSM presents a more balanced view, but still has the same emphases.
Mathematics education in the United States varies considerably from one state to the next, and even within a single state. However, with the adoption of the Common Core Standards in most states and the District of Columbia beginning in 2010, mathematics content across the country has moved into closer agreement for each grade level. The SAT, a standardized university entrance exam, has been reformed to better reflect the contents of the Common Core. However, many students take alternatives to the traditional pathways, including accelerated tracks. As of 2023, twenty-seven states require students to pass three math courses before graduation from high school, while seventeen states and the District of Columbia require four. A typical sequence of secondary-school courses in mathematics reads: Pre-Algebra, Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs while many complete high school without passing Calculus or Statistics. At the other end, counselors at competitive public or private high schools usually encourage talented and ambitious students to take Calculus regardless of future plans in order to increase their chances of getting admitted to a prestigious university and their parents enroll them in enrichment programs in mathematics.
Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school. It features a range of problems set out in a different format and wider content to the standard Mathematics at the same level.
The Secondary School Mathematics Curriculum Improvement Study (SSMCIS) was the name of an American mathematics education program that stood for both the name of a curriculum and the name of the project that was responsible for developing curriculum materials. It is considered part of the second round of initiatives in the "New Math" movement of the 1960s. The program was led by Howard F. Fehr, a professor at Columbia University Teachers College.