Reciprocal Learning for Cross-Cultural Mathematics Education
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Reciprocal Learning for Cross-Cultural Mathematics Education

A Partnership Project Between Canada and China

Sijia Cynthia Zhu, Shu Xie, Yunpeng Ma, Douglas McDougall, Sijia Cynthia Zhu, Shu Xie, Yunpeng Ma, Douglas McDougall

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Reciprocal Learning for Cross-Cultural Mathematics Education

A Partnership Project Between Canada and China

Sijia Cynthia Zhu, Shu Xie, Yunpeng Ma, Douglas McDougall, Sijia Cynthia Zhu, Shu Xie, Yunpeng Ma, Douglas McDougall

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About This Book

This edited volume examines new ways of teaching mathematics through a cross-cultural reciprocal learning project between sister schools in Canada and China. Situating teacher learning in the intersection of the two different school systems, curriculums, and cultures of mathematics learning and teaching in both nations, this volume offers teachers a unique and much-needed perspective on how practices between countries become more and more likely shaped by each other in the emerging global society. Born out of a comparative study project sponsored by the SSHRC, this volume compiles five years' worth of findings from reciprocal partnerships between researchers, teachers, school administrators, and students from both nations. Through the process of reciprocal learning and narrative inquiry, the research described in these chapters illuminates the unknown and shares newly-created mathematics education knowledge.

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Year
2020
ISBN
9783030568382

Part IContextualizing Our Reciprocal Learning Environment in Canada & China

Ā© The Author(s) 2020
S. C. Zhu et al. (eds.)Reciprocal Learning for Cross-Cultural Mathematics Education Intercultural Reciprocal Learning in Chinese and Western Educationhttps://doi.org/10.1007/978-3-030-56838-2_1
Begin Abstract

1. General and Education Context in Ontario, Canada and Mainland China

Douglas McDougall1 , Yunpeng Ma2 , Shu Xie2 and Sijia Cynthia Zhu1
(1)
Ontario Institute for Studies in Education, University of Toronto, Toronto, ON, Canada
(2)
Northeast Normal University, Changchun City, China
Douglas McDougall (Corresponding author)
Yunpeng Ma
Shu Xie
Sijia Cynthia Zhu
End Abstract

1 Introduction

In this chapter, we discuss the general and mathematics education context in China and the province of Ontario in Canada. There are a number of differences in the history of education in these two countries, as the educations systems have developed through a variety of twists and turns. We will first discuss the background of basic education reform and development in China. Then we will discuss the development of education in Canada and the province of Ontario.

2 The Background of Chinaā€™s Basic Education Reform and Development

Basic education was a foundational project for improving the national quality of life in China (Zhu, 2018). Development of education in China was one of the nationā€™s top priorities. Since the founding of the Peopleā€™s Republic of China, basic education reform has been shaped from experience, as well as the continuous exploration of developing educational ideas through changes in society and technology.
The development of basic education in China can be divided into four stages. The first stage was the period between 1946 and 1956. During this period of national economic recovery and socialist transformation in China, basic education reform consisted of two tasks: reforming education and creating a new educational theoretical system. In 1951, the Central Peopleā€™s Government Administration Council created a document titled Decision on Reforming the Academic System, which clearly stipulated the new academic system of the Peopleā€™s Republic of China.
The second stage is the adjustment period of education reform (1956ā€“1976). In 1957, Chairman Mao (1992) proposed the first education policy after the founding of the Peopleā€™s Republic of China, so that the educated could develop through moral, intellectual, and physical education as well as being conscious socialists and knowledgeable workers. The third stage was the comprehensive recovery period of reform and the nationā€™s opening (1976ā€“1999). In 1976, the Ministry of Education stipulated the Provisional Draft of a Full-Time Ten-Year Elementary and Middle School Teaching Plan, which uniformly stipulated that the full-time elementary and middle school education system should be ten yearsā€”five years for elementary schools and five years for middle schools.
In 1985, the Ministry of Educationā€™s Decision of the Central Committee of the Communist Party of China on the Reform of the Education System proposed the implementation of nine-year compulsory education, a system of operating schools at the central, provincial, and central city levels, and schools implementing a principal responsibility system. In 1986, the National Peopleā€™s Congress created the Compulsory Education Law of the Peopleā€™s Republic of China, which aligned Chinaā€™s basic education with the legal system. In 1993, the Ministry of Educationā€™s Outline of Chinaā€™s Educational Reform and Development stipulated that compulsory education should be basically universalized. In 1999, the Ministry of Educationā€™s Decision of the Central Committee of the Communist Party of China and the State Council on Deepening Education Reform and Comprehensively Promoting Quality Education stipulated that the basic popularization of compulsory education and the elimination of illiteracy were the foundation for comprehensively promoting quality education.
The fourth, and current, stage is to deepen the reform of basic education (2001ā€“present). In the twenty-first century, with the establishment of a knowledge-led economy and information-oriented society, China issued the National Medium and Long-term Education Reform and Development Plan with the goal of adapting to the general trend of education development and to provide a plan for the balanced development of compulsory education (Ministry of Education, 2000). In 2001, Chinaā€™s Ministry of Education issued the Decision on the Reform and Development of Basic Education and carried out a new round of curriculum reform. Aimed at the strategic position of Chinaā€™s basic education in the country, it proposed to deepen education reform and solidly promote quality education and thus accelerate the construction of a new basic education curriculum system that meets the requirements of quality education.
In 2011, China proposed to amend the compulsory education curriculum standardā€”ā€œFull-time Compulsory Education Curriculum Standardā€ (2011 Edition), which was developed from the ā€œFull-time Compulsory Education Curriculum Standard (Experimental Draft).ā€ The structure, ideology, curriculum goals, content standards, and implementation suggestions had been modified to highlight the cultivation of studentsā€™ innovative awareness. In 2019, China proposed the Opinions on Deepening the Quality of Compulsory Education and Teaching to implement the spirit of the Nineteenth National Congress of the Communist Party of China and the deployment of the National Education Conference, to accelerate the modernization of education, and to provide a satisfactory education for the people.

2.1 The Main Elements of Basic Education

Basic education currently includes early childhood education, primary education, and general secondary education (Wu & Peng, 2016). ā€œBasic education implemented a system of local responsibility and hierarchical management under national guidanceā€ (Liu, Peng, & Luo, 2020, p. 51) under local guidance. The structure of the school system was mainly 6-3-3. Ordinary elementary schools were for six years, and the ordinary middle schools were divided into two stages of three years called primary and advanced. There are still a few areas in the country that implement basic education as 5-4-3. In this implementation model, ordinary primary school was a five-year system, and ordinary middle schools were still separated into the primary and advanced stages, which were four-year and three-year, respectively.
Compulsory education occurs through grades 1ā€“9, and enrollment in school begins at the age of six. Elementary school teaching is divided into subjects, and teachers teach one subject. However, in some areas, there are small-sized classes and the basic education work unit is composed of one to three teachers in each class, and the number of students is around 30. In this case, one teacher teaches all subjects in the elementary grades. Teachers are ā€œall-roundā€ (always available) to undertake the teaching activities of a class, and the routine management of classroom affairs. In some rural areas, due to the shortage of teacher resources, a mixed-class teaching was adopted, meaning multiple grades in one class. In these areas, the ordinary junior high school and ordinary high school still maintain subject-specific teachers.

3 The Background of Education in Canada and Ontario

Canada is very multicultural country home to 37.8 million people, living in ten provinces and three territories. Ontario is the largest province in Canada with about 14.7 million people (Statistics Canada, 2011). It is located between the provinces of Manitoba and Quebec, and most of the province is located north of the United States. Before being colonized by the British and French in the 1600s, Ontario was home to aboriginal peoples and the province lies mostly on treaty land.
There are over 2 million children from age 5 to 18 in Ontarioā€™s K to 12 schools (Education Facts, 2018ā€“2019). There are public schools, Catholic public schools, in English and French in Ontario where curriculum and educational policy are the responsibility of the provinces and territories. There is no Canadian Department or Ministry of Education. At age 4, students attend junior kindergarten and at age 5, senior kindergarten. Then they start in grade one at age 6. Elementary school is K to grade 8 and secondary school is grades 9 to 12.
Some elementary schools are separated into two separate schools: elementary school and middle school. The middle school is usually grades six to eight or grades seven to nine. A common model for elementary school is K to grades 5 or K to grades 6. The designation of elementary school and middle school differs across school districts and across provinces.
There are seven subjects in the Ontario elementary curriculum. In most schools, these subjects are language, mathematics, science and technology, social studies (history and geography), health and physical education, arts, and French as a second language. It is common that the elementary school teacher to teach all subjects except French and perhaps some of the arts-based subjects (visual arts, drama, and music). Some middle schools use a moderated secondary school system where a teacher may teach fewer subjects but more classes of the subject. These specialized teachers teach other classes than their own.
Secondary school starts in grade 9 in Ontario. The students are placed into one of three possible streams for some courses including mathematics. The streams are academic, applied and locally developed course. The students then follow these streams through to university for students in the academic stream, and college for students in the applied and locally developed course streams. There is discussion in school districts to merge the students in grade 9 into one stream. This process is called destreaming.
There are a variety of assessment methods used in elementary, middle, and secondary schools. The teacher does the assessment and then a report card is sent home at least two times per year. The report cards summarize the studentsā€™ performance and information about learning skills and work habits. Assessment of elementary students is completed in schools by teachers a...

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