Formative Assessment – Card 2 – informal observation; Cards 3, 4 – informal observation, asking questions, conducting discussions; Card 5 – asking questions
Summative Assessment – Card 7 – Exit Ticket
Analysis – The assessment will begin with probing for students’ background knowledge. This will allow me to check if students can use place value understanding and properties of operations to add and subtract multi-digit numbers. This is important because throughout the next lessons, students will extend this knowledge to perform calculations with decimals. Observing and asking questions will allow me to see if students make connections between adding/subtracting whole numbers and adding/subtracting decimals, monitor students’ progress, and make
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Summative Assessment – Card 6 – Exit Ticket
Analysis – Informal observations and asking questions will allow me to see if students are able to decontextualize real-life situations, and then apply this understanding into symbolic (numbers, drawings) representation. Summative assessment will provide further information on students’ ability to apply their knowledge and skills to solve a problem.
Lesson 3 https://learnzillion.com/lesson_plans/3136-4-extend-multiplication-to-different-types-of-decimal-numbers-fp Formative Assessment – Card 2 – informal observation, asking questions about which strategy makes most sense to students and why; Card 3 – In-Class Practice – students work in pairs on the provided worksheet.
Summative Assessment – no need at this point
Analysis – formative assessment will help with assessing students’ understanding of the concepts that were taught in today’s lesson. It will also help make judgements about students’ learning, and adjust instruction.
Lesson
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They will use estimation, the base ten blocks, and area model, and they will record their answers on the scratch paper. Then, students will write a real-world story about a decimal multiplication problem that they have created with the base ten blocks. The story should contain each of the different numbers that are involved with the rectangular construction.
Analysis – Both assessments will provide students with opportunities to demonstrate their leaning of decimal multiplication by relating base ten block to the area models. When students will be constructing decimals, I will be able to see if they understand that the flat represent the whole, a rod is equal to a tenth, and a unit represents a hundredth. The activities will reveal any misconceptions students may have about the place value, or I may be able to see whether students have struggled with making various exchanges with the base ten blocks. These pieces of information will reveal whether students have mastered a new
Elwood, J. (2006). Formative assessment: possibilities, boundaries and limitations. Assessment in Education: Principles, Policy & Practice, 215-232, doi:10.1080/09695940600708653
The following assignment shows the progress I have made throughout unit EDC141: The Numerate Educator. Included are results from the first and second round of the Mathematics Competency Test (MCT). Examples from assessment two, which, involved me to complete sample questions from the year nine NAPLAN. I was also required to complete a variety of ‘thinking time problems’ (TTP’s) and ‘what I know about’ (WIKA’s). These activities allowed me to build on my knowledge and assisted me to develop my mathematical skills. The Australian Curriculum has six areas of mathematics, which I used in many different learning activities throughout this study period (Commonwealth of Australia, 2009). These six areas will be covered and include number, algebra,
Formative Assessment- There are a number of formative assessment that are used. The first one is the list created on the first day after reading the passage along with student participation on sharing their findings the following day on day two. Student participation in day six when sharing their papers and the write up of a peer’s paper will be used for a formative assessment. All of these are graded on accuracy and completion and will be worth five points each.
Place value and the base ten number system are two extremely important areas in mathematics. Without an in-depth understanding of these areas students may struggle in later mathematics. Using an effective diagnostic assessment, such as the place value assessment interview, teachers are able to highlight students understanding and misconceptions. By highlighting these areas teachers can form a plan using the many effective tasks and resources available to build a more robust understanding. A one-on-one session with Joe, a Year 5 student, was conducted with the place value assessment interview. From the outlined areas of understanding and misconception a serious of six tutorial lessons were planned. The lessons were designed using
...teacher see what their students know, wonder about and techniques they use to make sense of the world and the classroom. This information can then be used by the teacher to differentiate instruction. The teacher can recover material, present alternative activities that students are more receptive in order to foster student responsiveness and engagement. In Page Keeley’s article An Introduction to Formative Assessment Classroom Techniques (FACTs) she articulates the purpose and power of a classroom that frequently uses formative assessments by saying, “it organizes the entire classroom around learning and informs ways teachers can provide more effective learning experiences based on how their own” (10). Formative assessments foster a supportive classroom community where students and even teacher thoughts are encouraged and in turn shape the future of that classroom.
The first standard in number and operations is Grade 3-5 g. develop and use strategies to estimate computations involving fractions and decimals in situations relevant to student’s experiences. The students had to estimate how many items and which items they could buy. They had to estimate the prices by using numbers with decimals and figuring out what the price was closer to in whole numbers. The second standard was h, use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals. The visual models they used were the items and prices, it represented how decimals can be used in real life.
Reflecting on the impact. How did you use this assessment to collaborate with families and with professional colleagues to improve teaching and
Corcoran does not use a textbook with questions and teacher’s answer solutions, but she does use Origo, math warm-up packets, and TouchMath General Math. The value of the math warm-up is to use the packet as data given evidence to evaluate if each student is progressing to make their annual or three-year goal and benchmarks. Mrs. Corcoran tries to have the students complete the math warm-ups independently with little to no assistance, and will ask a teacher to review their math warm-up packet to check for errors. The assessment is formative assessment, or skills/tasks forming over time. The math applications are addition, subtraction, multiplication, word problems, division, elementary algebra, and sequences. The math warm-up packets help drive instruction by assessing what students need to improve on and what students can achieve. I learned practice over time can help students understand math applications and math warm-up packets can serve for several
The work sample is a word problem worksheet on coins. The objective in this lesson was for students to solve problems using coins and the students had to either add up coins or subtract coins in this worksheet. Therefore, I was able to “match learning objectives with assessment methods”. Based on the work sample, the student correctly answered the questions that involved adding up coins but when she had to subtract coins, she got the answers incorrect because she assumed that the question involved adding up coins. It taught me that she did not know when to add or subtract when reading a word problem. As a result, I adjusted my instruction and taught the student to look for clue words such as, “in all” or “have left” when solving a word problem. I taught her that key words such as, how many are left, difference, how many more and fewer indicate that she needs to subtract. While, key words such as, altogether, in all, total and sum indicate that she needs to add. This show that I was able to “analyze the assessment and understood the gaps in her learning and use it to guide my instruction”. The student knew how to add and subtract but she had a difficult time knowing what operation to use when solving word problems. I provided the student with “effective and descriptive feedback” immediately after finishing her worksheet which helped her to improve her
Countless time teachers encounter students that struggle with mathematical concepts trough elementary grades. Often, the struggle stems from the inability to comprehend the mathematical concept of place value. “Understanding our place value system is an essential foundation for all computations with whole numbers” (Burns, 2010, p. 20). Students that recognize the composition of the numbers have more flexibility in mathematical computation. “Not only does the base-ten system allow us to express arbitrarily large numbers and arbitrarily small numbers, but it also enables us to quickly compare numbers and assess the ballpark size of a number” (Beckmann, 2014a, p. 1). Addressing student misconceptions should be part of every lesson. If a student perpetuates place value misconceptions they will not be able to fully recognize and explain other mathematical ideas. In this paper, I will analyze some misconceptions relating place value and suggest some strategies to help students understand the concept of place value.
Although somewhat vague compared to summative assessment, several key features help frame formative assessment. First, formative assessment happens while learning is taking place as opposed to at the end of content delivery. Rather, this is considered “assessment for learning,” (Chappuis, J., Stiggins, Chappuis, S., & Arter, 2012, pg. 5). The format is formal or informal, but the outcome in its use is an in-progress check of what students know and what students do not know. Chappuis, Stiggins, Chappuis, and Arter (2012) define formative assessment as, “Formal and informal processes teachers and students use to gather evidence for the purpose of improving learning,” (pg. 24). Second, this type of assessment is used to make instructional strategy adjustments. If student learning did not happen via one instructional method, the teacher must make the necessary accommodations to reteach the concept or skill. Next, it is not only used by teachers for feedback on instruction, but formative assessment is also used for providing timely, descriptive feedback to students and extends to allow for student self-assessment (Chappuis, J., Stiggins, Chappuis, S., & Arter, 2012; Popham, 2008). Formative assessment provides opportunity to provide specific feedback to students on where they are currently in their learning, and where they should be headed.
The prominence of numeracy is extremely evident in daily life and as teachers it is important to provide quality assistance to students with regards to the development of a child's numeracy skills. High-level numeracy ability does not exclusively signify an extensive view of complex mathematics, its meaning refers to using constructive mathematical ideas to “...make sense of the world.” (NSW Government, 2011). A high-level of numeracy is evident in our abilities to effectively draw upon mathematical ideas and critically evaluate it's use in real-life situations, such as finances, time management, building construction and food preparation, just to name a few (NSW Government, 2011). Effective teachings of numeracy in the 21st century has become a major topic of debate in recent years. The debate usually streams from parents desires for their child to succeed in school and not fall behind. Regardless of socio-economic background, parents want success for their children to prepare them for life in society and work (Groundwater-Smith, 2009). A student who only presents an extremely basic understanding of numeracy, such as small number counting and limited spatial and time awareness, is at risk of falling behind in the increasingly competitive and technologically focused job market of the 21st Century (Huetinck & Munshin, 2008). In the last decade, the Australian curriculum has witness an influx of new digital tools to assist mathematical teaching and learning. The common calculator, which is becoming increasing cheap and readily available, and its usage within the primary school curriculum is often put at the forefront of this debate (Groves, 1994). The argument against the usage of the calculator suggests that it makes students lazy ...
Students will identify the correct how to find the area of circles. We are going to do this first by deriving the formula for the area of a circle ourselves. Students use these operations to solve problems. Students extend their previous understandings of finding the area of a shape: This learning goal meets the Common Core Standard CCSS.MATH.CONTENT.6.G.A.3. The students are going to learn find the area of only the doughnut, excluding the hole in the middle. For the formative assessments during the teaching of this unit, I will keep an observation log, where I note any student progress, whether it be positive or negative. I believe it will be important to record observations any time a student has difficulty with a particular task. For example, if a student has trouble solving the problems with the formulas. to purchase an item, I should write down particular actions, attitudes, and behaviors that stand out, as well as the specific issue. Any time the students are doing independent work, I will monitor the learning activities and record observations.
The final assessment piece for term 1 is a personal reflection that is centered around our previous quiz results. These past few weeks each student was asked to complete a quiz based on numeracy and literacy concepts that are important to our development as a 21st century teacher. These skills are an important concept to all teachers as they are used on a daily basis, sometimes even subconsciously. Numeracy practises are a skill that teachers are required to be competent in. this component i find myself confident of as i have previous experience as a stage manager for theatre productions, working at markets and as a waitress in a local cafe. This confidence is backed up by my scoring on the final quiz, that was based on numeracy practices, achieving a 10/10. These skills will be more than adequate in teaching Biology and Geography in the eventual completion of this course. Continue use of these practises will constantly improve my ability.
Cauley, K.H. & McMillan, J.H. (2009). Formative assessment techniques to support student motivation and achievement. Clearing House, 83(1), 1-6.