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METHODS OF TEACHING ESOL
Conventional and Non-Conventional Measures in Math

Photo Source: http://www.ct4me.net/math_resources.htm

FLORIDA TEACHER STANDARDS FOR ESOL ENDORSEMENT (2010)
Domain 3: Methods of Teaching English to Speakers of Other Languages (ESOL)
Standard 2: Standards-Based ESL and Content Instruction
3.2. a. Organize learning around standards-based content and language learning objectives for
students from diverse backgrounds and at varying English proficiency levels.
3.2. k. Provide instruction that integrates listening, speaking, reading, and writing for ELLs of
diverse backgrounds and varying English proficiency levels.
 Standard-based instruction involves directing students to appropriate learning activities; guiding students to
appropriate knowledge; helping students rehearse, encode, and process information; monitoring student
performance; and providing feedback as to the appropriateness of the student's learning activities and practice
performance."
~Merrill, et al, 1999 (Source: Beacon Learning Center)
 Language objectives define the communication skills (language domains) needed to make the content of a
discipline comprehensible (Rohwer & Wandberg, 2005).

SCENARIO
Adapted from Gloria T. Poole (2010)
A model ESOL-infused classroom accommodates ELs by providing opportunities to work in
integrated groups with their English-speaking peers. In this scenario, a college-level field experience
teacher candidate provides additional support. The teacher introduces an activity by reviewing concepts
from the previous day. She demonstrates non-conventional measures in math using hand spans to
measure the length of a table in the room. The students are encouraged to estimate the measurement
in inches and feet. They participate in other activities so that the teacher is assured that everyone
masters the concept. All students are challenged to think critically, and visuals, realia, and bilingual
dictionaries are available.
The lesson is on the geometric concepts of perimeter and area. The students create floor
models that are measurable by using non-conventional and conventional units of measurement. Most
work in small groups, while a few choose to work independently. The teacher plans to move from groupto-group before selecting students who might need specific assistance. Since the teacher uses good
planning techniques, she has various models for measurement at each table. These measures include
hand-spans, pencil lengths, squares, and other forms of non-conventional units of measurement. Some
groups use rulers and yardsticks as conventional units of measure. Another more advanced group is
@ESOLinHigherEd
selected by the teacher to go with the teacher candidate around the school campus to measure and
compare various spaces such as the stage in the auditorium, a segment of the hallway, and other
designated spaces using both forms of measurement.
The teacher carefully assigns different levels of tasks for the varied groups based on their
academic needs and English proficiency levels. At the end of the activity, students gather to share and
record their findings using various principles of cooperative learning by exercising shared leadership
through participation in team reflections. They are individually accountable for their own learning,
collectively accountable as a group, and provide opportunities to serve as language resources for ELs.
Discuss the following questions.
a. What are some advantages for ELs participating in this activity?
b. What might be some disadvantages, if any?
c. What indications are there that the teacher has reasonably good behavior and instructional
management in the classroom?
d. What strategies are most supportive of language acquisition and learning for ELs in this
activity?
e. What evidence is implicit that ELs are receiving language input and support for acquisition
and learning?
f. What evidence exists that students might internalize learning as a result of this activity?

BENEFITS of using Cooperative Learning with ELs:
1. Promotes interaction with classmates which in turn supports language and academic development.
2. Allows ELs to express themselves in small groups.
3. Develops vocabulary and problems solving skills.
4. Supports social and academic skills.
5. Integrates the skills of listening, speaking, reading, and writing.

Spencer Kagan’s strategy of Cooperative Learning is described to increase students’ academic
achievement, self-esteem, social skills, and study skills. It builds student relationships and provides
opportunities for all students to work together while learning how to better understand each others’
differences. There is an opportunity to use higher level thinking skills and students are held to
accountable for their own work as well as equal participation by the group. Cooperative learning
provides students with a sense of social orientation to learn workplace skills. However, there are several
disadvantages, such as group grades, lack of social skills by some students, and lack of participation by all
students.

Photo Source: http://blogs.bethel.k12.or.us/aseery/2011/06/22/cooperative-learning-with-kagan/

@ESOLinHigherEd

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Cooperative Learning Activity

  • 1. METHODS OF TEACHING ESOL Conventional and Non-Conventional Measures in Math Photo Source: http://www.ct4me.net/math_resources.htm FLORIDA TEACHER STANDARDS FOR ESOL ENDORSEMENT (2010) Domain 3: Methods of Teaching English to Speakers of Other Languages (ESOL) Standard 2: Standards-Based ESL and Content Instruction 3.2. a. Organize learning around standards-based content and language learning objectives for students from diverse backgrounds and at varying English proficiency levels. 3.2. k. Provide instruction that integrates listening, speaking, reading, and writing for ELLs of diverse backgrounds and varying English proficiency levels.  Standard-based instruction involves directing students to appropriate learning activities; guiding students to appropriate knowledge; helping students rehearse, encode, and process information; monitoring student performance; and providing feedback as to the appropriateness of the student's learning activities and practice performance." ~Merrill, et al, 1999 (Source: Beacon Learning Center)  Language objectives define the communication skills (language domains) needed to make the content of a discipline comprehensible (Rohwer & Wandberg, 2005). SCENARIO Adapted from Gloria T. Poole (2010) A model ESOL-infused classroom accommodates ELs by providing opportunities to work in integrated groups with their English-speaking peers. In this scenario, a college-level field experience teacher candidate provides additional support. The teacher introduces an activity by reviewing concepts from the previous day. She demonstrates non-conventional measures in math using hand spans to measure the length of a table in the room. The students are encouraged to estimate the measurement in inches and feet. They participate in other activities so that the teacher is assured that everyone masters the concept. All students are challenged to think critically, and visuals, realia, and bilingual dictionaries are available. The lesson is on the geometric concepts of perimeter and area. The students create floor models that are measurable by using non-conventional and conventional units of measurement. Most work in small groups, while a few choose to work independently. The teacher plans to move from groupto-group before selecting students who might need specific assistance. Since the teacher uses good planning techniques, she has various models for measurement at each table. These measures include hand-spans, pencil lengths, squares, and other forms of non-conventional units of measurement. Some groups use rulers and yardsticks as conventional units of measure. Another more advanced group is @ESOLinHigherEd
  • 2. selected by the teacher to go with the teacher candidate around the school campus to measure and compare various spaces such as the stage in the auditorium, a segment of the hallway, and other designated spaces using both forms of measurement. The teacher carefully assigns different levels of tasks for the varied groups based on their academic needs and English proficiency levels. At the end of the activity, students gather to share and record their findings using various principles of cooperative learning by exercising shared leadership through participation in team reflections. They are individually accountable for their own learning, collectively accountable as a group, and provide opportunities to serve as language resources for ELs. Discuss the following questions. a. What are some advantages for ELs participating in this activity? b. What might be some disadvantages, if any? c. What indications are there that the teacher has reasonably good behavior and instructional management in the classroom? d. What strategies are most supportive of language acquisition and learning for ELs in this activity? e. What evidence is implicit that ELs are receiving language input and support for acquisition and learning? f. What evidence exists that students might internalize learning as a result of this activity? BENEFITS of using Cooperative Learning with ELs: 1. Promotes interaction with classmates which in turn supports language and academic development. 2. Allows ELs to express themselves in small groups. 3. Develops vocabulary and problems solving skills. 4. Supports social and academic skills. 5. Integrates the skills of listening, speaking, reading, and writing. Spencer Kagan’s strategy of Cooperative Learning is described to increase students’ academic achievement, self-esteem, social skills, and study skills. It builds student relationships and provides opportunities for all students to work together while learning how to better understand each others’ differences. There is an opportunity to use higher level thinking skills and students are held to accountable for their own work as well as equal participation by the group. Cooperative learning provides students with a sense of social orientation to learn workplace skills. However, there are several disadvantages, such as group grades, lack of social skills by some students, and lack of participation by all students. Photo Source: http://blogs.bethel.k12.or.us/aseery/2011/06/22/cooperative-learning-with-kagan/ @ESOLinHigherEd