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University of St. Francis logo · College of Education · Regional Educational Academy for Leadership

Methods of Teaching Adolescents Mathematics
EEND and MEDU-694/MATH-390

  • Template 2021
  • Section TMPL
  • 3 Credits
  • 08/16/2018 to 07/29/2100
  • Modified 10/27/2022

Mission Statement

As a Catholic university rooted in the liberal arts, we are a welcoming community of learners challenged by Franciscan values and charism, engaged in a continuous pursuit of knowledge, faith, wisdom, and justice, and ever mindful of a tradition that emphasizes reverence for creation, compassion and peacemaking. We strive for academic excellence in all programs, preparing women and men to contribute to the world through service and leadership. 


Examines methods and techniques of teaching mathematics to middle grades and high school students. Focus will be upon adapting discipline specific knowledge into engaging lessons, use of technology, delivery methods, differentiation, instructional planning, and assessment procedures. Classroom organization and management, relevant content and instructional standards, and professional development will also be addressed.  

Compliance with Illinois Professional Teaching Standards (IPTS)

The state of Illinois has established nine standards that all teacher candidates are expected to be able to meet as they begin their careers as teachers.  Specifically, this course addresses the following standards (the last two are not focused on significantly):

Teaching Diverse Students  The competent teacher understands the diverse characteristics and abilities of each student and how individuals develop and learn within the context of their social, economic, cultural, linguistic, and academic experiences. The teacher uses these experiences to create instructional opportunities that maximize student learning.

Content Area and Pedagogical Knowledge  The competent teacher has in-depth understanding of content area knowledge that includes central concepts, methods of inquiry, structures of the disciplines, and content area literacy. The teacher creates meaningful learning experiences for each student based upon interactions among content area and pedagogical knowledge, and evidence-based practice.

Planning for Differentiated Instruction  The competent teacher plans and designs instruction based on content area knowledge, diverse student characteristics, student performance data, curriculum goals, and the community context. The teacher plans for ongoing student growth and achievement.

Learning Environment  The competent teacher structures a safe and healthy learning environment that facilitates cultural and linguistic responsiveness, emotional well-being, self-efficacy, positive social interaction, mutual respect, active engagement, academic risk-taking, self-motivation, and personal goal-setting.

Instructional Delivery  The competent teacher differentiates instruction by using a variety of strategies that support critical and creative thinking, problem-solving, and continuous growth and learning. This teacher understands that the classroom is a dynamic environment requiring ongoing modification of instruction to enhance learning for each student.

Reading, Writing, and Oral Communication The competent teacher has foundational knowledge of reading, writing, and oral communication within the content area and recognizes and addresses student reading, writing, and oral communication needs to facilitate the acquisition of content knowledge.

Assessment  The competent teacher understands and uses appropriate formative and summative assessments for determining student needs, monitoring student progress, measuring student growth, and evaluating student outcomes. The teacher makes decisions driven by data about curricular and instructional effectiveness and adjusts practices to meet the needs of each student.

Collaborative Relationships  The competent teacher builds and maintains collaborative relationships to foster cognitive, linguistic, physical, and social and emotional development. This teacher works as a team member with professional colleagues, students, parents or guardians, and community members.

Professionalism, Leadership, and Advocacy  The competent teacher is an ethical and reflective practitioner who exhibits professionalism; provides leadership in the learning community; and advocates for students, parents or guardians, and the profession.


For MEDU 694: MEDU 665, 670 and 675


College of Education Mission

The mission of the College of Education is to prepare competent and caring educators who understand students, serve the community and develop professionally to become ethical decision-makers and leaders.

Understanding Students

  • Candidates develop practices that will help to form sound pedagogical practices within the Common Core Mathematics curriculum reform in order to support and deepen students’ mathematical learning/understanding and positive dispositions toward mathematical processes
  • Candidates develop understanding of how students learn mathematics and of the pedagogical knowledge for planning, teaching, selecting/creating materials (including technology), and assessing mathematics teaching and learning
  • Candidates understand differentiation as the primary means to foster deep understanding of mathematics content for all students
  • Candidates demonstrate deep mathematical knowledge and understand how their knowledge of mathematics affects both what they teach and how they teach it

Serving the Community

  • Candidates understand a professional teacher’s varying relationships with administrators, parents, students, and colleagues and how the interrelationships impact the classroom and local community

Finding Our Professional Selves

  • Candidates appreciate the value of frequent reflection through self-assessment as a means to identify ways to encourage individual professional growth


By the conclusion of the course, each candidate will be able to do the following: 

1. Identify and implement the Common Core State Standards for Mathematics into planning (IPTS: 1B, 1H-L; 2A-K; 6A-F, I, L-Q)

  • Incorporate the pedagogical shifts within the Mathematics curriculum reform (IPTS: 1B, 1H, 1I-L; 2A-K, 2M-Q)
  • Identify Math literacy goals within the ELA standards and the Standards for Mathematical Practice (IPTS: 6A-F, I, L-Q)
  • Facilitate performance tasks that require deep thinking and problem solving on the part of students (IPTS: 1B, 1I; 2A-H, 2J, K, M-Q)
  • Utilize appropriate questioning techniques to facilitate problem solving, analysis, and mathematical reasoning (IPTS: 1B, 1I; 2A-H, 2J, K, M-Q)

2. Plan for teaching a mathematics course on a long-range (course), medium-range (unit), and short-range (lesson) basis using the Understanding by Design model. (IPTS: 1A-L; 2A-Q; 3A-I, L, N, Q; 7A-I)

3. Prepare and implement lessons to include behavioral and instructional objectives, appropriate curriculum content, a variety of instructional methods and teaching strategies, and assessment activities.  (IPTS: 1A-L; 2A-Q; 3A, C-I, L-O, Q; 4A-H, J-Q; 5A-O, R, S; 7A-L, O, Q, R)

4. Design, select, and modify materials, activities, and learning environments to institute a positive attitude toward learning mathematics (IPTS: 1A-D, GH-L; 2A-Q; 3A, C-E, G, H, KL-N, Q; 4A-Q)

  • Initiate an ongoing effort to collect materials for classroom use that promote problem solving and provide appropriate uses of technology. (IPTS: 1A-D, GH-L; 2A-Q; 3A, C-E, G, H, KL-N, Q; 4A-Q)
  • Implement regular and strategic resource reviews to select appropriate classroom materials (IPTS: 1A-D, GH-L; 2A-Q; 3A, C-E, G, H, KL-N, Q; 4A-Q)

5. Identify and implement effective instructional strategies/delivery methods that are appropriate for a given task and improve retention (IPTS: 5A-O, R, S; 7B, E-I, K, L, O, Q, R)

6. Develop and evaluate various types of educational assessment instruments in a dynamic and formative process for enhancing instruction (IPTS: 7A-L, O, Q, R)

  • Assess student progress and assign grades to students in a fair manner (IPTS: 7A-L, O, Q, R)
  • Incorporate a variety of formative and summative assessments of student learning (IPTS: 7A-L, O, Q, R)
  • Use PARCC guidelines and prototypes to partly guide assessment problem creation (IPTS: 7A-L, O, Q, R)

7. Identify and implement the appropriate and seamless use of technology in lessons to support curriculum objectives (IPTS: 1G, 2L, O; 4K, M)

8. Incorporate differentiation to foster deep understanding of mathematics content for all students (IPTS: 1 B, J; 2G, H, L; 3A-G, H, I, K-Q; 5C, N)

  • Identify students of various mathematical abilities and ways to fine tune specific instructional strategies to assist them in their learning (IPTS: 1J; 3 A-G, H, I, K-Q; 5C, N)
  • Identify ways to increase student skills and improve attitudes towards mathematics and its usefulness in daily life. (IPTS: 1B; 2G, H, L)

9. Explain a professional teacher’s varying relationships with administrators, parents, students, and colleagues (IPTS: 8 A-I, L, M, N; 9 A-I, K, O, S)

  • Incorporate frequent reflections through self-assessment (IPTS: 9 A-I, K, S)
  • Identify ways to encourage individual professional growth (IPTS: 8 A-I, L, M, N; 9 D-H, O)

Teaching Standards Addressed

  • Introcuced:
  • Developing: 1 B-E, G-L; 2 C-Q; 3 D, E, G-N, Q; 4 A-M; 5 A-F, I-O, R, S; 6 A-J, L-Q; 7 A-K, O, Q, R; 8 A, B, D-I, L-N, R; 9 A-I, K, O, P, R, S
  • Proficient: 1 A, F; 2 A, B; 3 A-C


Discussion Board Topics and Peer Responses 

  • Corresponding Outcome(s): 1 a-d, 3, 4 a-b, 5, 6 b-c, 7, 8 a-b,
    9 a-b

Initial and final self-assessments (reflections)

Self-assessment about thoughts, beliefs, and practices related to math and teaching math
Prompts will be provided

  • Corresponding Outcome(s): 1a, 4a-b, 5, 6 a-b, 8 a-b, 9 a-b

Resource review

Choice/assignment of textbook series, lesson plan, instructional materials, educational software. Criteria will be provided/developed as a class.

  • Corresponding Outcome(s): 1 a-b, 4 a-b, 6 b-c, 7, 8 a-b

Content Area Unit of Instruction

Unit of study for middle or high school (Functions), Aligned with Common Core Math Standards,  4-5 detailed lessons with others outlined, Includes formative and summative assessments (edTPA rubrics; measure student growth with new teacher evaluation models), Meets Illinois Professional Teaching Standards, Checkpoint grades given throughout the course

NOTE: This will align with the Interdisciplinary Unit (IDU) assignment in EDUC 367

  • Corresponding Outcome(s): 1 a, b, d; 2, 3, 4 a-b, 5, 6 a-c, 7, 8 a-b


Institutional Policies

Students should use the USF portal as the first resource for guidance and support on items such as student complaints, safety, security and transportation questions, contact information for various USF departments, student support services such as counseling and academic resources. Information on these resources can be found in the For Students section of the USF portal.

  • A complete listing of university policies and procedures can be found in the University of St. Francis Catalog and Student Handbooks. Students are expected to follow all policies in the USF Catalog and Student Handbook, both of which can be found in the student portal.
  • Students are expected to be familiar with and follow the various procedures and guidelines regarding USF’s COVID-19 Response, including the USF Preparedness Plan and other materials incorporated in the Saints United resource hub (
  • Policies not covered in this document will be handled in accordance with the USF Catalog, Student Handbook, and Program Handbook as applicable.

Academic Integrity

Academic integrity requires that all academic work be wholly the product of an identified individual or individuals. Collaboration is only acceptable when it is explicitly acknowledged. Ethical conduct is the obligation of every member of the University community, and breaches of academic integrity constitute serious offenses. Since a lack of integrity hinders the student’s academic development, it cannot be tolerated under any circumstances. Violations include but are not limited to: cheating, fabrication, facilitating academic dishonesty, plagiarism, and denying others access to information or material. See the University of St. Francis Catalog for further clarification and information on grievance procedures.

Services and Accommodations for Students with Disabilities (ADA)

The University strives to be in compliance with the Americans with Disabilities Act (ADA) and the ADA Amendments Act (ADAAA). A student who requires special accommodations or arrangements due to a disability should contact the Office of Disability Services. This contact preferably should occur no later than the first week of classes. Early contact before the semester starts is encouraged to allow sufficient time to provide accommodations. Extra time is needed for some types of accommodations such as sign language interpreters or special text formatting. Should a need arrive after the start of a semester; the student is encouraged to contact the Office of Disability Services as soon as possible. Note that accommodations are not retroactive. Each case will be reviewed on an individual basis to determine reasonable and appropriate accommodations.

USF is committed to ensuring the full participation of all students in its programs, regardless of the course format. If you have a documented disability and need a reasonable accommodation to participate in a course, complete course requirements, or benefit from the University’s programs or services, please contact the Office of Disability Services at 815-740-3631 or [email protected] . The Office of Disability Services is in the Academic Resource Center (ARC) and is located on the second floor of the LaVerne and Dorothy Brown Library in room L214. Consultations are welcome, please contact the Office of Disability Services for an appointment.

Academic Support Services

The Academic Resource Center (ARC) located in Room L214 in the Library (815-740-5060) offers various types of academic services.  Online and distance learning students can contact ARC for appropriate resources.  ARC serves students who need tutoring in many areas of study including writing and math.  Library services include a number of online services and full text databases.  Call the Library at 815-740-5041 for additional information.  If you need academic-related resources or assistance, please contact the Academic Resource Center.

Technology Support

If you are experiencing any difficulty using Canvas or need technical assistance, you have several options to receive support:

  1. 24x7 Live Canvas Support. Canvas has a 24 hour support by clicking on ? Help while in Canvas. You can Chat with Canvas Support, Report a Problem, or call the Canvas Support Hotline. If you experience technical difficulties or have a question about Canvas, you can receive support 24 hours a day seven (7) days a week through the Canvas help menu. From the help menu; select Report a Problem to send an email support request, select Chat with Canvas Support (Student) for a “live” text-based click-to-chat session, or to speak to someone directly use the toll-free number listed under the Canvas Support Hotline (Student). NOTE: Responses to Canvas’ email based Report a Problem request system will go to your USF email account, NOT your personal email.
  2. Online Self-Service Help Resources. A student user guide and other resources for solving issues related to Canvas can be found at
  3. You can phone the Technology Support Center for personal help at (815) 768-8324 or (866) 337-1497 (toll-free) between 8:00 AM and 4:30 PM Central Standard Time, Monday through Friday or fill out a Technology Support Center ticket and select Canvas/Online courses as the component.

For any technical support issues that are not related to Canvas, you can also contact the USF Technology Support Center (TSC). You can reach them via: