RTI Resource 1: Fuchs, L.S. Mathematics Intervention at the Secondary Prevention Level of Mult-Tier Prevention System: Six Key Principles. Retrieved from rtinetwork.org.
The article reviews and describes the six instructional principles that math interventions at the Tier 2 level must incorporate in an effort to assist struggling students and close the achievement gap. The first principle, instructional explicitness, was created in response to the fact that students with math disabilities benefit from explicit instruction where teachers explicitly share the information that students need to learn (Fuchs). The second principle, instructional design that eases the learning challenge, aims to eliminate misunderstandings by using precise explanations and carefully sequenced and integrated instruction; and utilizes the assistance of a tutor in an effort to minimize a student’s learning challenges as well as provides a set of foundational skills that students can apply (Fuchs). The third principle, a strong conceptual basis for procedures that are taught, is often overlooked causing confusion, gaps in learning and the failure to maintain and integrate content that was previously mastered, which leads to the fourth principle, drill and practice (Fuchs). Drill and practice should contain cumulative review, the fifth principal, which relies on the foundational skills taught earlier and the use of mixed problem types (Fuchs). The sixth and final principle, motivators to help students regulate their attention and behavior and to work hard, include tangible reinforcements that must be included to assist students who have frequently experienced failure and thus no longer try because of fear of failure (Fuchs).
Any math teacher can use these ...
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...ions of individual skill mastery on a weekly basis. By using this approach, teachers let individual student achievement guide lesson planning and review needs on a weekly basis rather than waiting until the end of a section or unit.
Additional information can be found on the Research Institute on Progress Monitoring and National Center on Student Progress Monitoring websites and there are links to additional articles on Progress Monitoring within a Multi-Level Prevention System as well as Linking Progress Monitoring Results to Interventions on the RTI website.
RTI Resource 1: Fuchs, L.S. Mathematics Intervention at the Secondary Prevention Level of Mult-Tier Prevention System: Six Key Principles. Retrieved from rtinetwork.org.
RTI Resource 2: Fuchs, L.S. 2011. Validated Forms of Progress Monitoring in Reading and Mathematics. Retrieved from rtinetwork.org.
Cloran (n.d.) suggest teachers need to have a broad understanding of giftedness and learning disabilities, a variety of identification measures and the ability to modify the curriculum and implement differentiated teaching strategies to meet the unique needs of all students. A graduate teacher recognises that students learn in their own way and should understand and be able to identify a number of teaching strategies to differentiate and meet the learning needs of all students. They may create groups based on previous assessment results and set clear or modified instructions for each group based on ability or learning styles. To address the specific learning needs of all student abilities, multi-sensory strategies using charts, diagrams, outside lessons and videos, as well as posters around the room or information on the desk could be used. Tomlinson (1999) suggests that differentiated instruction aims to build on student’s strengths and maximize their learning by adjusting instructional tasks to suit their individual needs. Ensuring teaching and instructions are clear, revising and prompting students during lessons and providing templates and assisting student in breaking down tasks into achievable, systematic chunks are some additional examples. Lucas, (2008) suggests highlighting key vocabulary within the text to focus students on the central concepts within the text. Quick finishing students should be provided with the opportunity to extend themselves with extension tasks that have a specific purpose and
In this case, teachers must employ other resources and feet collaboration from colleagues. This is where the RTI process comes into place. Messmer and Messmer, (2008) explained that the response to intervention serves as a vehicle to identify and serve students with learning difficulties. On the other hand, several steps should be followed to implement correctly RTI. In my opinion, my school possesses a fair understanding of the RTI process and manages the implementation of a consistent approach that positively affects the student.
... prevent the student from becoming frustrated (Scheuermann & Hall, 2012). This is appropriate for John because it has already been determined that he has a performance deficit and is not motivated to behave in math class due to his frustration that he does not understand the concepts. This method of instruction could ultimately help John improve his math skills rather than forcing him to continue to struggle with math. Since John is in an inclusion classroom with several other students, John’s teacher may not always have the opportunity to provide John with one-to-one instruction; therefore, other evidence-based interventions should be implemented when one-to-one instruction is not available.
There are other concerns on how a student moves from one level to another (Cohen, 2012). Another concern is how a student’s progression in the intervention should be
Warger, C. (2002). Helping students with disabilities participate in standards- based mathematics curriculum. ERIC Clearinghouse on Disabilities and Gifted Education, Council for Exceptional Children. 1-5. Retrieved October 3, 2004, from ERIC Digests full-text database.
The first step for teachers in providing quality education is to be inclusive of all students and to offer Preventive Intervention where needed. Early identification and intervention of learning difficulties is most effective (NSW Public Schools, 2011; Rose, 2009). This requires the teacher to be alert and knowledgeable regarding student needs and potential problems and/or disabilities (Marsh, 2008). Preventive Intervention strategies are more likely to be utilised by experienced teachers as their prior experiences may help them to foresee potential problem areas or recognise indicators from students that they have previously seen. The concept behind Preventive Intervention is to reduce or limit new/minor problems that can m...
In order for a child to achieve academically, the child must master basic facts. A child's progress with problem-solving, algebra and higher-order math concepts is negatively impacted by a lack...
Using literacy strategies in the mathematics classroom leads to successful students. “The National Council of Teachers of Mathematics (NCTM, 1989) define mathematical literacy as an “individual's ability to explore, to conjecture, and to reason logically, as well as to use a variety of mathematical methods effectively to solve problems." Exploring, making conjectures, and being able to reason logically, all stem from the early roots of literacy. Authors Matthews and Rainer (2001) discusses how teachers have questioned the system of incorporating literacy with mathematics in the last couple of years. It started from the need to develop a specific framework, which combines both literacy and mathematics together. Research was conducted through
Learning Theories and Instructional Strategies The lessons contained in this unit of instruction were based upon Madeline Hunter’s Seven Steps of Lesson Plan Formatting. This lesson plan format is a proven effective means for delivering instruction. When designing lessons, the teacher needs to consider these seven elements in a certain order since each element is derived from and has a relationship to previous elements. It should be noted that a lesson plan does not equal one class period.
Skemp, R (2002). Mathematics in the Primary School. 2nd ed. London: Taylor and Francis .
Sherley, B., Clark, M. & Higgins, J. (2008) School readiness: what do teachers expect of children in mathematics on school entry?, in Goos, M., Brown, R. & Makar, K. (eds.) Mathematics education research: navigating: proceedings of the 31st annual conference of the Mathematics Education Research Group of Australia, Brisbane, Qld: MERGA INC., pp.461-465.
The early acquisition of mathematical concepts in children is essential for their overall cognitive development. It is imperative that educators focus on theoretical views to guide and plan the development of mathematical concepts in the early years. Early math concepts involve learning skills such as matching, ordering, sorting, classifying, sequencing and patterning. The early environment offers the foundation for children to develop an interest in numbers and their concepts. Children develop and construct their own meaning of numbers through active learning rather than teacher directed instruction.
Silver, E. A. (1998). Improving Mathematics in Middle School: Lessons from TIMSS and Related Research, US Government Printing Office, Superintendent of Documents, Mail Stop: SSOP, Washington, DC 20402-9328.
Mathematics teachers teach their students a wide range of content strands – geometry, algebra, statistics, and trigonometry – while also teaching their students mathematical skills – logical thinking, formal process, numerical reasoning, and problem solving. In teaching my students, I need to aspire to Skemp’s (1976) description of a “relational understanding” of mathematics (p. 4). Skemp describes two types of understanding: relational understanding and instrumental understanding. In an instrumental understanding, students know how to follow steps and sequential procedures without a true understanding of the mathematical reasons for the processe...
Devlin believes that mathematics has four faces 1) Mathematics is a way to improve thinking as problem solving. 2) Mathematics is a way of knowing. 3) Mathematics is a way to improve creative medium. 4) Mathematics is applications. (Mann, 2005). Because mathematics has very important role in our life, teaching math in basic education is as important as any other subjects. Students should study math to help them how to solve problems and meet the practical needs such as collect, count, and process the data. Mathematics, moreover, is required students to be capable of following and understanding the future. It also helps students to be able to think creativity, logically, and critically (Happy & Listyani, 2011,