Numeracy in the Landscape •The following pages outline some of the different ways that the natural world can inspire Numeracy. Work by visiting school groups and primary school teachers on training days at Chelsea Physic Garden is also included. • “Numeracy” refers to the proficiency with numbers and measures. It involves gathering, interpreting and presenting data as well as solving numerical ‘problems’. •Even the smallest amount of green space can be useful for interpreting the natural world. • The first page shows an overview of this subject, the others aim to expand upon it. Michael Holland - Chelsea Physic Garden, U.K. Scale & Comparisons * Other Area Sorting & classification* Measuring* Time* Numeracy in the Landscape links Counting* Pattern, shape and symmetry* Here are some of the different strands of Numeracy. Many of them have links to other curriculum areas such as History, Geography, Art, Design and Technology, Science and Literacy. Those marked * are elaborated upon in the following pages. Proportions: Fractions, percentages, ratios* Scale & Comparison Leaf areas: of different species Time scales Life spans of different plants and animals The age of the Earth Decay rates of different materials Large vs. Small Class members Comparison Scale & Role play: imagine being the size of an ant in a grassland; or a tadpole in a pond… Looking at the ideas of scale and comparison in the natural world can inspire a sense of wonder about its vastness and diversity and put us into perspective. Weights Differences / similarities Seed comparisons: e.g. Coco-de-mer (up to 22kg) and orchid seeds (as little as .001g) Comparative biomass of different trophic levels How many plant species are native to one country compared to the world? Of 100 Ilex leaves, what fraction or % have got 15 spikes? What is the ratio of leaves with 15 spikes to those with 1 spike? Looking at proportions in nature helps us focus on division, unity, comparisons, observations and different ways of interpreting the same data. What proportion of seeds germinated? Proportions:fractions, percentages, ratios How many seedlings survived? Proportions of one species to others in a sample grassland, pond, woodland % of a leaf lost to herbivory What is the ratio of apples to branches on a tree with 150 apples and 30 branches? Make numbers out of natural materials Species number in a given area/sample The origins of number systems and counting Seed fall rates Number of stomata per leaf Counting Garden visitors This area of Numeracy is common throughout, consequently there are many examples of, and overlaps with, counting. Estimates and averaging are closely linked. Number of seeds in a fruit Number of fruits or leaves on a plant Number of legs on animals collected Number of plants in a specified area Number of petals, anthers… Number sequences: Symmetry and asymmetry: e.g. Fibonacci series allowing plants to efficiently use available space (petal number, leaf arrangements, seed packing…) leaves, faces, tree outlines, flowers. Different types of symmetry. Patterns, shapes and symmetry Tessellation Clearly demonstrating physical differences, the variety of shapes and patterns the landscape exhibits, inspires and enriches us. Lengths: Paths, Weights: People, branches, leaves... Buildings, parks, gardens, windows, glass houses… seeds, dry vs. fresh weights, Time Areas & perimeters: Measuring Weather data Heights: Buildings, trees, people Sizes of seeds Creating suitable units for measuring: Measuring requires the use of different units - linking to counting, comparisons and the development of spatial awareness e.g. length of arm, pace, hand span Girths of trees: Link to the age of a tree (approx. 2.5cm/year) Plant fossils Evolutionary time Astronomical events Geological timescales Seasons TIME Different ways of measuring time Make your own sundial or water clock The concept of time can be useful in illuminating many aspects of the natural world. It naturally links to counting and measuring and change. Fall rates of different seeds Decay and growth rates Looking at historical World events in the growth rings of fallen trees. Plants Habitats, ecosystems & biomes Materials “Rubbish” bins: classify and sortrecyclables, organic. Family Species Seeds Sorting & Classification Tensile strengths of natural materials Here are some examples of how aspects of the natural world can be sorted and classified into different groups. Recognising & identification are integral to this. Dispersal method Shape & size Creating identification keys Colours Categorise plants and objects by their ethnobotanical uses